{
  "corrections": [
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier confirm the two solution tokens are ordered ⓐ then ⓑ.",
      "id": "urn:uuid:0632b58c-e111-5916-99f9-e82d5a4fead3",
      "ledger_kind": "answer_key",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The repeated label mis-associates the second response with the first part.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 eip-id1168468490534",
      "source_issue": "The second solution is mislabeled ⓐ",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0064",
      "source_record_id": "OSPA-ADV-0064",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change only the second label to ⓑ",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Exercise prompt and result 4,000 are for rounding to nearest hundred",
      "id": "urn:uuid:07aaebdb-4938-5e70-9eba-5416b49e4f4c",
      "ledger_kind": "source_adverse",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Source alt contradicts the problem statement.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243 media eip-id1168289428689",
      "source_issue": "Upstream alt calls 3,978 rounding nearest thousand",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0003",
      "source_record_id": "OSPA-ADV-0003",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "target alt states nearest hundred",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Live admission-verifier evidence counts exactly three entries in each of the two rows.",
      "id": "urn:uuid:08801620-7478-5366-b094-9f2df50064bf",
      "ledger_kind": "table_structure",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source column declaration contradicts the actual table structure and accessibility model.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 table eip-id1168466166098 tgroup",
      "source_issue": "The tgroup declares four columns although both rows contain exactly three entries",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0076",
      "source_record_id": "OSPA-ADV-0076",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change tgroup cols from 4 to 3",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:fa83ffce-f822-5b8a-b053-a2b2c88e863a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt compares the displayed transformation with the separately applied rule in the next row.",
      "id": "urn:uuid:08e18732-c5aa-5ddd-ada7-438a0523b76c",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source label conflates two different exponent properties.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81337 eip-id1168468606012",
      "source_issue": "Displayed distribution over a product is labeled as the power-to-a-power rule",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0061",
      "source_record_id": "OSPA-ADV-0061",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "label the row Sifat Pangkat pada Hasil Kali and leave the following power-to-a-power row distinct",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:fa83ffce-f822-5b8a-b053-a2b2c88e863a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the correction and the sole topology delta mrow:-3 at this ID.",
      "id": "urn:uuid:0913eca9-4734-594f-acf6-6160f5c7c1c1",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Applying exponent zero to the whole monomial changes the intended value and derivation.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81337 eip-id1168047201113",
      "source_issue": "Exponent zero is applied to the whole monomial −3x^2y instead of to y alone",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0059",
      "source_record_id": "OSPA-ADV-0059",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "apply exponent zero only to y and remove the three erroneous mrow wrappers",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:abcd191f-d1d2-57b3-a438-01cb5e81a7a4"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "CNXML structure and source alt compared directly",
      "id": "urn:uuid:0a5439df-a572-5a36-b833-398da10f0732",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Source accessibility prose and markup disagree; structural replay remains exact.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244 media eip-951",
      "source_issue": "Upstream table eip-951 describes two columns while tgroup declares three",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0016",
      "source_record_id": "OSPA-ADV-0016",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "translate the meaningful two-column visual description and preserve structural tgroup",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Direct source line and intended place-value procedure",
      "id": "urn:uuid:0b487bb4-3f11-5732-acb8-16ac632a896c",
      "ledger_kind": "source_adverse",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Source typographical error.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243 rounding example",
      "source_issue": "Upstream prose says thousands pace",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0004",
      "source_record_id": "OSPA-ADV-0004",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "target prose uses tempat ribuan",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:9c9ca64d-21ea-57e3-ad1f-ecf5a80e5d7a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "MathML arity/token audit against the one already-correct source readiness mover",
      "id": "urn:uuid:0dab1895-04e4-5e47-b8c1-52d7e38d053c",
      "ledger_kind": "mathml_semantics",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Text dashes weaken operator semantics and assistive interpretation.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81315 recurring decimals",
      "source_issue": "Fifteen recurring-decimal overscripts are encoded as text dashes",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0030",
      "source_record_id": "OSPA-ADV-0030",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "encode all recurring bars as accent movers with stretchy mo macrons",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Live admission-verifier evidence binds the sole operator token delta '-' to '−' at this ID.",
      "id": "urn:uuid:1410e327-f982-5066-87b5-184dd9a774db",
      "ledger_kind": "mathml_semantics",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "ASCII hyphen-minus is typographically and semantically ambiguous in MathML.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 eip-301",
      "source_issue": "The minus operator is encoded as ASCII hyphen-minus",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0077",
      "source_record_id": "OSPA-ADV-0077",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace the hyphen-minus with the mathematical minus sign −",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:28a99fd6-3017-54f5-988d-f2678049de3e"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Frozen signature dimension and source-byte comparison for all 59 media",
      "id": "urn:uuid:1b9bfea8-49d4-5734-bff9-bb371b8c549e",
      "ledger_kind": "media_mime",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Fifty-two language-neutral originals remain byte-identical; six substitution prompts and the self-check are localized without overwriting originals.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81317 media",
      "source_issue": "Thirty-eight PNG instructional images are declared image/jpeg and two JPEGs use nonstandard image/jpg",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0035",
      "source_record_id": "OSPA-ADV-0035",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "declare retained rasters by actual signature and relink seven localized SVG siblings as image/svg+xml",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the repaired aria phrase at this table.",
      "id": "urn:uuid:1e37152e-6ec7-5788-b962-8c1c61e638eb",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The malformed source phrase is unintelligible and weakens exponent semantics.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 eip-id1168467360549 aria-label",
      "source_issue": "The table aria renders the exponent phrase as 10 o the n",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0068",
      "source_record_id": "OSPA-ADV-0068",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "render it as 10 pangkat n",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the final atoms as comma, a, not-equal sign, and 0.",
      "id": "urn:uuid:1e39421e-9b65-50cb-9e74-ccc80669ec51",
      "ledger_kind": "math_domain",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Without the condition the definition permits an undefined zero base with a negative exponent.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 fs-id1171104016049",
      "source_issue": "The negative-exponent definition omits the required condition a ≠ 0",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0062",
      "source_record_id": "OSPA-ADV-0062",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "add a ≠ 0 to the definition",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind this exact accurate Indonesian conceptual statement.",
      "id": "urn:uuid:2092f2de-d110-5960-af9c-4c7cdabed12e",
      "ledger_kind": "localization_adaptation",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "A literal wordplay translation would obscure rather than explain the mathematical relationship.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-id1404035",
      "source_issue": "The English line and linear wordplay has no faithful literal Indonesian equivalent",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0073",
      "source_record_id": "OSPA-ADV-0073",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace it with Perhatikan bahwa istilah linear berkaitan dengan garis.",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:f6c75b36-9e0d-5254-a3c5-16f7a148175d",
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "98-asset OCR and visual review plus offline media-localization verifier; receipt m81242_m81244_media_localization.md",
      "id": "urn:uuid:2268341d-09f9-54aa-8307-a7b5df6ffa88",
      "ledger_kind": "target_gap",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "No instructional English remains in the affected sighted-reader figures; original rasters remain preserved as source witnesses.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81242+m81243 figures",
      "source_issue": "Bitmap figures contain English labels",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0005",
      "source_record_id": "OSPA-ADV-0005",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "26 English-labeled m81243 rasters replaced by native Indonesian SVGs; m81242 fruit photograph inspected and retained as language-neutral",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:939636c0-9fb0-5332-b2f3-b8829e1f1d59"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Adjacent instructional row and final 910 − 586 = 324 step compared",
      "id": "urn:uuid:34fab0d6-8bf4-5bcd-9c98-7755deec2edf",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Prevents the accessibility text from falsely treating a legitimate partial calculation as an error.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81245 media eip-id1168286120643",
      "source_issue": "Upstream intermediate-step alt calls the partial displayed result 24 an incorrect final result",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0025",
      "source_record_id": "OSPA-ADV-0025",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "describe it as the units-and-tens intermediate state before subtracting hundreds",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:dc4747fc-6b20-573f-8336-d40308bc488a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Independent algebraic replay plus source-adjusted MathML token audit",
      "id": "urn:uuid:350c090d-a2cb-5664-bf8c-5ce11faf5327",
      "ledger_kind": "math_domain",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The added a ≠ 0 condition is the sole numeric/variable topology addition; all 64 supplied answers remain correct.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81318 MathML and glossary",
      "source_issue": "Readiness and glossary omit required nonzero conditions; one empty MathML node and two ASCII minus signs weaken semantics",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0039",
      "source_record_id": "OSPA-ADV-0039",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "state a is nonzero where required remove the empty math element and normalize both signs to Unicode minus",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind Administrasi di D2, mendatar and tegak, and the corrected coordinate fragments at all ten IDs.",
      "id": "urn:uuid:39295342-bbaa-511d-af62-4bfa1f0ae3ad",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Assistive readers otherwise receive figure data that contradicts the displayed graphs.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-id1317131; fs-id1425902; fs-id1124155; fs-id1425801; fs-id1149076; fs-id1573278; fs-id1573802; fs-id1605667; fs-id1605770; fs-id1569726",
      "source_issue": "Ten audited media descriptions misstate labels, axis orientation, coordinates, or plotted-point roles",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0074",
      "source_record_id": "OSPA-ADV-0074",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewrite each description to match the visible figure while preserving media topology",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:939636c0-9fb0-5332-b2f3-b8829e1f1d59"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Displayed row sequence and final arithmetic replayed",
      "id": "urn:uuid:39b6c91a-15ad-5b04-b435-400469f85c05",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Element IDs MathML and media topology remain unchanged.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81245 table eip-7544534",
      "source_issue": "Upstream long-subtraction aria duplicates instructions and contains contradictory place-value wording",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0024",
      "source_record_id": "OSPA-ADV-0024",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace it with a concise Indonesian step sequence matching 2,162 − 479 = 1,683",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:26234cfd-29c9-5358-b139-af75d5a9a7a0"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "The frozen source has 33 counting-number occurrences; the official 2017 Kemdikbud Grade VII mathematics text defines positive integers as bilangan asli; OSPA-TERM-0001 already admits that term; the bounded m81272 verifier binds the corrected target.",
      "id": "urn:uuid:3bf5abd3-35f4-5b93-990c-dea2ee87044a",
      "ledger_kind": "terminology_consistency",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The former synonym conflicts with the edition glossary and representative Indonesian school-mathematics field usage even though its mathematical intent was recoverable.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81272 whole module",
      "source_issue": "The earlier m81272 target rendered the source's 33 counting-number occurrences as bilangan hitung, including one redundant bilangan hitung (bilangan asli) parenthetical",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0083",
      "source_record_id": "OSPA-ADV-0083",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace all 33 occurrences with bilangan asli and collapse the redundant parenthetical",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Body number is 9,246,073,189 and image segment denotes seventy-three thousand",
      "id": "urn:uuid:3d0421aa-e6c6-590f-9a80-e20ff0862158",
      "ledger_kind": "source_adverse",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Source alt contains a numeric transcription defect.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243 media fs-id2903601",
      "source_issue": "Upstream alt maps seventy-three thousand to 742",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0002",
      "source_record_id": "OSPA-ADV-0002",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "target alt maps it to 073",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:939636c0-9fb0-5332-b2f3-b8829e1f1d59"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Problem expression and referenced asset context compared directly",
      "id": "urn:uuid:3da456cd-7622-52a2-906c-b7a0569a0666",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "No formula or asset path changed.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81245 media fs-id2793179",
      "source_issue": "Upstream alt for the 6 − 1 model says 9 − 6",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0022",
      "source_record_id": "OSPA-ADV-0022",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "correct the Indonesian alt to 6 − 1",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:5628abfc-ed97-5b50-ae2c-d1dc8f166456"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "All 55 media and all 67 supplied solutions checked once against frozen source assets",
      "id": "urn:uuid:49e6af66-522e-557b-b685-eddec56e7683",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The verifier pins every corrected media ID and rejects any additional protected-content delta.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81350 media descriptions",
      "source_issue": "Thirteen source graph descriptions contain wrong panels points intercepts axis ranges or missing ranges",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0045",
      "source_record_id": "OSPA-ADV-0045",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace only those descriptions with equation- and pixel-faithful Indonesian alternatives",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:8528d7da-2676-5e19-a316-276c71f9a07d"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Bounded HEAD evidence on 2026-08-21: the legacy URL returned 301 to the same openstax.org path and then 302 to YouTube video ID rywucgsvDjU; the Location chain appended a malformed trailing slash or /], while the clean target URL returned 200",
      "id": "urn:uuid:4dfa5d40-572d-5caf-91f4-e9de67288b70",
      "ledger_kind": "external_link",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Preserve the working clean video URL as one exact admitted external-link adaptation; no other link attribute may differ.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81277 /document[1]/content[1]/section[5]/note[9]/list[1]/item[5]/link[1]",
      "source_issue": "https://openstaxcollege.org/l/24integerappp",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0055",
      "source_record_id": "OSPA-ADV-0055",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "https://www.youtube.com/watch?v=rywucgsvDjU",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind Kuadran IV and reject Kuadran lV.",
      "id": "urn:uuid:4e00547d-6e83-5b8d-bef8-9db71718923e",
      "ledger_kind": "source_typography",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The typo visually confuses a letter with the first stroke of the quadrant numeral.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-id1435806",
      "source_issue": "The source writes Quadrant lV with a lowercase l",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0071",
      "source_record_id": "OSPA-ADV-0071",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "render Kuadran IV with the correct Roman numeral",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier confirm tempat kosong is present and −8.9 is absent.",
      "id": "urn:uuid:53dff7b3-63a6-58da-89c0-53c8f2baa08f",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source alt supplies a value that is not displayed.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 eip-id1168466262626",
      "source_issue": "The alt description invents a negative sign where the display has a blank placeholder",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0066",
      "source_record_id": "OSPA-ADV-0066",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "describe the tempat kosong placeholder and remove the −8.9 claim",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:abcd191f-d1d2-57b3-a438-01cb5e81a7a4"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "98-asset OCR and visual review plus offline media-localization verifier; receipt m81242_m81244_media_localization.md",
      "id": "urn:uuid:5bc661d1-a0a4-59e2-979e-2eb8148591f4",
      "ledger_kind": "target_gap",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "No affected sighted-reader figure remains English-only; original rasters remain preserved as source witnesses.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244 figures",
      "source_issue": "Bitmap figures and the self-check chart contain English labels",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0018",
      "source_record_id": "OSPA-ADV-0018",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "7 English-labeled m81244 rasters replaced by native Indonesian SVGs with accurate nonempty alt text",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:28a99fd6-3017-54f5-988d-f2678049de3e"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Cell-by-cell table audit plus native and 4x inspection of all localized SVGs",
      "id": "urn:uuid:5cc71922-8c7e-514b-aa9b-4849699a5ef5",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Repairs include the three-fourths example the negative-sign path both evaluation routes and the actual money illustrations.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81317 accessibility",
      "source_issue": "Copied or inaccurate table descriptions and image alts contradict displayed distributive-property steps",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0036",
      "source_record_id": "OSPA-ADV-0036",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewrite all 59 alts and 19 table descriptions against their actual mathematics and visuals",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "preserved_adverse",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Working-diff review and targeted English/awkward-string scans",
      "id": "urn:uuid:600afaf1-7a36-5927-931e-1652c1f95e3d",
      "ledger_kind": "quality_control",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "preserved_adverse",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Draft output was locator material only and was not admitted without source comparison.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243",
      "source_issue": "Machine draft initially contained literal/ill-formed Indonesian",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0010",
      "source_record_id": "OSPA-ADV-0010",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewritten sentence-by-sentence and replayed",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b4cd590a-bde5-5b7a-8f04-f440e1067e8e"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "37 cubed independently equals 50,653 and every other table value was replayed once",
      "id": "urn:uuid:6052dbc9-6627-542f-9db3-73d344c8f7e2",
      "ledger_kind": "source_typography",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Numerical value is unchanged; correction restores the table's established number formatting.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m56244 table fs-id1171105399918 row 37",
      "source_issue": "The powers-and-roots table prints 37 cubed as ungrouped 50653 while all comparable large integers use thousands separators",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0050",
      "source_record_id": "OSPA-ADV-0050",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change only the row-37 cube token to 50,653",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:5628abfc-ed97-5b50-ae2c-d1dc8f166456"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Exact source dimensions native-vector inspection and one rendered visual pass",
      "id": "urn:uuid:612726d8-0c0b-5036-a81e-75dcec04670b",
      "ledger_kind": "localized_media",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Final closure contains 43 JPEGs eight PNGs and four SVGs with no embedded raster or external reference.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81350 media 023 016 020 AppB_068",
      "source_issue": "Four source images contain English intercept instructions or a self-assessment rubric",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0046",
      "source_record_id": "OSPA-ADV-0046",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "relink accessible same-size native Indonesian SVG siblings without overwriting source rasters",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Live admission-verifier evidence binds exactly six mtext ':' to mo ':' deltas at the listed IDs.",
      "id": "urn:uuid:6320bffa-0905-5bc8-929b-05c87e0242d5",
      "ledger_kind": "mathml_semantics",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Encoding operator punctuation as text weakens MathML semantics and assistive interpretation.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-idm307838880; eip-695; fs-id1428815; fs-id1444548; fs-id1571180; fs-id1198616",
      "source_issue": "Six colon punctuation tokens are encoded as mtext",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0075",
      "source_record_id": "OSPA-ADV-0075",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change each colon from mtext to mo without changing its glyph or order",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:df46ebcf-6f8e-56e2-9ab8-1511649539dc"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Exact source dimensions native-vector inspection and one rendered visual pass",
      "id": "urn:uuid:63428ef7-bfbd-52ef-bfa7-197c0a8a355a",
      "ledger_kind": "localized_media",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "All original JPEGs remain preserved beside localized SVG siblings; no embedded raster or external reference.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81354 media 003 004 060 044 046 049 031 032 053 055 056 039 042 AppB_069",
      "source_issue": "Fourteen source figures contain English rise run slope or self-assessment labels",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0049",
      "source_record_id": "OSPA-ADV-0049",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "relink same-size accessible Indonesian native SVG siblings using gradien kenaikan and jarak mendatar",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:f6c75b36-9e0d-5254-a3c5-16f7a148175d",
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "preserved_adverse",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source-bound semantic preservation",
      "id": "urn:uuid:63ee662d-f141-5090-88f3-8ebedfb3cbc7",
      "ledger_kind": "target_context",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "preserved_adverse",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Not localized to rupiah or metric units; adaptation explains rather than rewrites factual exercises. This deliberate source-faithful context is accepted, not an unresolved repair.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81242+m81243",
      "source_issue": "U.S. dollars and U.S./imperial examples",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0007",
      "source_record_id": "OSPA-ADV-0007",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "retain source context and units",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:fa83ffce-f822-5b8a-b053-a2b2c88e863a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt identifies the exact prose correction and preserves the mathematically required exponent operation.",
      "id": "urn:uuid:6a4422d1-f8e4-5dcc-9f7d-aa231df4b717",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source wording directs the reader to the wrong part of the quotient.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81337 eip-id1168468260532",
      "source_issue": "Source prose says numerator where the worked division step requires denominator",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0060",
      "source_record_id": "OSPA-ADV-0060",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace numerator with denominator while retaining the instruction to multiply exponents",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:dc4747fc-6b20-573f-8336-d40308bc488a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Frozen asset signatures dimensions and native plus 4x visual inspection",
      "id": "urn:uuid:6b44cf93-cc34-529e-8491-8478feed360c",
      "ledger_kind": "media_mime",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Every original remains preserved beside its localized sibling; the self-check alt enumerates all four objectives and three categories.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81318 media",
      "source_issue": "Two PNG callouts declare image/jpeg and the self-check JPEG uses nonstandard image/jpg; all five assets contain English",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0040",
      "source_record_id": "OSPA-ADV-0040",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "relink five accessible Indonesian SVG siblings as image/svg+xml",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:28a99fd6-3017-54f5-988d-f2678049de3e"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source-adjusted QName attribute and ordered math-token replay",
      "id": "urn:uuid:7166bcc1-d9b6-56ff-97c6-e208ad49d80f",
      "ledger_kind": "mathml_semantics",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The two mtext-to-mi repairs remove redundant mathvariant attributes because single-letter mi is italic by default.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81317 MathML",
      "source_issue": "Colon punctuation unary minus signs variables and two subtraction signs use text or ASCII-hyphen tokens",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0037",
      "source_record_id": "OSPA-ADV-0037",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "encode six colons and five unary minus signs as mo two variables as mi and normalize two subtraction signs to Unicode minus",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "admitted",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Independent UI/UT evidence privileges bilangan asli",
      "id": "urn:uuid:7462d3ee-8e31-5bd7-a489-ef38fc013d84",
      "ledger_kind": "register",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Natural-number conventions may include 0 in other contexts; this source explicitly starts at 1.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243",
      "source_issue": "Counting numbers also called natural numbers",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0009",
      "source_record_id": "OSPA-ADV-0009",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "translate primary term as bilangan asli and mention bilangan natural as synonym",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:df46ebcf-6f8e-56e2-9ab8-1511649539dc"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "All 124 media and all 124 supplied solutions checked once against pinned source",
      "id": "urn:uuid:7605d265-c267-503e-9054-ed29ce174701",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The verifier pins the exact corrected IDs and rejects additional protected-content deltas.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81354 media descriptions",
      "source_issue": "Twenty source graph and geoboard descriptions give wrong points endpoints axes or grid positions",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0048",
      "source_record_id": "OSPA-ADV-0048",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace only those descriptions with frozen-image-faithful Indonesian alternatives",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Direct CNXML structure and header inspection",
      "id": "urn:uuid:85b1ebbb-d134-551f-94bf-d1a00fb1cd7a",
      "ledger_kind": "source_adverse",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Source accessibility metadata contradicts the table structure.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243 tables fs-id1714120 and fs-id1785447",
      "source_issue": "Upstream aria labels say 3 columns while tgroup has cols=5",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0001",
      "source_record_id": "OSPA-ADV-0001",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "target accessibility describes 5 actual columns",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt identifies the preserved value as federal debt rather than the annual deficit.",
      "id": "urn:uuid:8a849be8-6b73-5959-9d95-89b222e1f267",
      "ledger_kind": "source_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source names the wrong economic quantity.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 fs-id1527177",
      "source_issue": "The source calls 1.5×10^13 a budget deficit",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0067",
      "source_record_id": "OSPA-ADV-0067",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "render it as utang federal while preserving 1.5×10^13",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:8528d7da-2676-5e19-a316-276c71f9a07d"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Bounded HEAD evidence on 2026-08-21: the legacy URL returned 301 to the same openstax.org path and then 302 to YouTube video ID -BzR1DwJznY; the Location chain appended a malformed trailing slash or /], while the clean target URL returned 200",
      "id": "urn:uuid:8ae4042c-4572-55a2-83cc-34bc4ad0e1e2",
      "ledger_kind": "external_link",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Preserve the working clean video URL as one exact admitted external-link adaptation; no other link attribute may differ.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81277 /document[1]/content[1]/section[5]/note[9]/list[1]/item[4]/link[1]",
      "source_issue": "https://openstaxcollege.org/l/24introintegerr",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0054",
      "source_record_id": "OSPA-ADV-0054",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "https://www.youtube.com/watch?v=-BzR1DwJznY",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:e9d86eaf-6457-55c4-87b6-3a54d6a6f3a6"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the repaired phrase at this problem.",
      "id": "urn:uuid:8e1c326c-d7d8-5ae0-b48c-2cdfcdfa5db4",
      "ledger_kind": "source_grammar",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source residue makes the time statement ungrammatical.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81347 fs-id1164354639833",
      "source_issue": "The phrase t seconds a after contains a stray word",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0081",
      "source_record_id": "OSPA-ADV-0081",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "remove the stray word and render t detik setelah dijatuhkan",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:db363414-796a-5937-a065-41e289df1987"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Frozen signatures dimensions and CNXML declarations checked for all 19 media",
      "id": "urn:uuid:8faa4335-3262-5ee8-b5d6-6f137ba09485",
      "ledger_kind": "media_mime",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Original math-only rasters remain byte-identical; the English self-check original is preserved beside the localized sibling.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81316 media",
      "source_issue": "Sixteen PNG instructional images are declared image/jpeg and the self-check JPEG uses nonstandard image/jpg",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0032",
      "source_record_id": "OSPA-ADV-0032",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "declare retained rasters as image/png and relink the localized self-check SVG as image/svg+xml",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:9c9ca64d-21ea-57e3-ad1f-ecf5a80e5d7a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Independent high-precision decimal verification",
      "id": "urn:uuid:907e51e6-b8e7-5015-9844-10c84bc13f37",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Equality plus an ellipsis is false when the displayed terminal digit was produced by rounding.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81315 equations fs-id2048804 and fs-id1456842",
      "source_issue": "Upstream writes rounded π and square-root-of-5 values as exact continuing expansions",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0028",
      "source_record_id": "OSPA-ADV-0028",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "use genuine exact digit prefixes with ellipses",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:db363414-796a-5937-a065-41e289df1987"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Cell-by-cell table audit plus native and 4x asset inspection",
      "id": "urn:uuid:94674017-4a69-5123-b1d1-fa3643b9f248",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "All media descriptions preserve source-US values and the localized SVG matches its CNXML alt.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81316 accessibility",
      "source_issue": "Figure and table descriptions omit intermediate rows mislabel an expression and say 7 eights; the self-check alt omits all objectives",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0034",
      "source_record_id": "OSPA-ADV-0034",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewrite all 19 alts 12 summaries and 4 aria labels against their actual content and provide a complete three-objective self-check",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:939636c0-9fb0-5332-b2f3-b8829e1f1d59"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "CNXML tgroup and row structure compared directly",
      "id": "urn:uuid:94c42edf-7e6a-59ba-8826-c64e89cdd744",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Accessibility-only correction; structural table markup is unchanged.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81245 table fs-id1549826",
      "source_issue": "Upstream subtraction-keyword table aria says two rows and five columns although the table has six rows and four columns",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0023",
      "source_record_id": "OSPA-ADV-0023",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "describe the actual six-row four-column table in Indonesian",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Offline media-localization verifier and localized-SVG hash inventory",
      "id": "urn:uuid:97b40687-89ca-5434-b376-2f3e637eee39",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Sighted and assistive-reader wording now agree in Indonesian; original raster remains preserved as a source witness.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243 media eip-id1165721974707",
      "source_issue": "Self-check bitmap contains English response labels",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0008",
      "source_record_id": "OSPA-ADV-0008",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "English response-label bitmap replaced by a native Indonesian SVG while preserving accurate nonempty alt text",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:e9d86eaf-6457-55c4-87b6-3a54d6a6f3a6"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier confirm the phrase is absent from the target table.",
      "id": "urn:uuid:9999a444-054a-56f9-9792-757d7149cf1a",
      "ledger_kind": "source_editing",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Reader-facing editorial debris interrupts the mathematical exposition.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81347 eip-id1168466314102",
      "source_issue": "The source contains the editorial residue and the math that goes with it",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0079",
      "source_record_id": "OSPA-ADV-0079",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "delete the editorial residue",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:e9d86eaf-6457-55c4-87b6-3a54d6a6f3a6"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the completed solution, five math elements, and the 28-element localized MathML addition.",
      "id": "urn:uuid:9c5a72de-10da-5571-92cd-5c998a061861",
      "ledger_kind": "answer_key",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source leaves a determinate exercise without its correct answer or generalization.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81347 fs-idm305601312",
      "source_issue": "The supplied response says answers will vary although the exercise has a fixed result",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0078",
      "source_record_id": "OSPA-ADV-0078",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "supply y^4 and the general rule y^min(a,b,c)",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt compares the accessibility text with the displayed decimal movement.",
      "id": "urn:uuid:9eea0eb5-19f7-5d0f-aa02-17a88ababc50",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source description gives assistive readers the wrong exponent-producing step count.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 eip-id1168467326175",
      "source_issue": "The alt description says the decimal point moves three places",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0065",
      "source_record_id": "OSPA-ADV-0065",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "state four decimal-place shifts",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:fa83ffce-f822-5b8a-b053-a2b2c88e863a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and protected-math verifier bind the sole atom delta at this ID; a^m/a^n = a^(m−n) for m>n.",
      "id": "urn:uuid:9f566a3a-f2e3-50f8-aa18-ed0c23fd4bb7",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The reversed subtraction gives the wrong quotient exponent.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81337 eip-id1168468257607",
      "source_issue": "Under the stated m>n condition, the quotient result uses exponent n−m",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0057",
      "source_record_id": "OSPA-ADV-0057",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change the result exponent to m−n",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:e9d86eaf-6457-55c4-87b6-3a54d6a6f3a6"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the corrected phrase at this problem.",
      "id": "urn:uuid:a1cac797-debd-5faf-96dc-f47e9fa55155",
      "ledger_kind": "source_grammar",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The missing preposition obscures the role of p as the selling price.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81347 fs-id2108983",
      "source_issue": "The microwave-revenue problem omits the preposition connecting revenue to price",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0080",
      "source_record_id": "OSPA-ADV-0080",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "restore the relation as dengan harga p dolar",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:5628abfc-ed97-5b50-ae2c-d1dc8f166456"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "The preceding derivation and table both solve 4x=12 as x=3",
      "id": "urn:uuid:a1ead0c3-ac84-561b-86d7-b381310f3e24",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "This is the sole admitted non-prose MathML delta in the module.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81350 solution fs-id1515130 summary fs-id1531556",
      "source_issue": "The source solution summary repeats the x-intercept of 4x - 3y = 12 as (-3,0)",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0044",
      "source_record_id": "OSPA-ADV-0044",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change only the repeated intercept to (3,0)",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:5d5d8842-58e0-5c3d-9f1c-f9ac487c6cfe"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Exact prompt and surrounding unit-conversion context inspected",
      "id": "urn:uuid:a3911599-72b3-5d80-9680-b07bb461bf1c",
      "ledger_kind": "source_grammar",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Retain as a low-impact source-language correction candidate for the final deduplicated upstream report.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m56252 paragraph fs-id1171103928012",
      "source_issue": "The cumulative-review conversion prompt uses singular kilometer after 1.61",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0051",
      "source_record_id": "OSPA-ADV-0051",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "render natural Indonesian without changing the quantity",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:abcd191f-d1d2-57b3-a438-01cb5e81a7a4"
      ],
      "correction_state": "admitted",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source-bound quantity preservation; the explicit compound ons cair AS distinguishes U.S. fluid volume from the Indonesian mass unit ons",
      "id": "urn:uuid:a5f2ca03-c431-5220-8ce0-6981402979c0",
      "ledger_kind": "target_context",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "No conversion to metric; retain the U.S. customary-unit context.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244 everyday math",
      "source_issue": "16-ounce and 12-oz beverage labels",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0015",
      "source_record_id": "OSPA-ADV-0015",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "retain values and render unit as ons cair AS",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:fa83ffce-f822-5b8a-b053-a2b2c88e863a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and protected-math verifier bind the denominator atom delta at this ID.",
      "id": "urn:uuid:a8626b1e-6cd5-5af4-8855-41e3d492a8cc",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Mismatched exponents do not establish the zero-exponent rule.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81337 fs-id1504960",
      "source_issue": "The zero-exponent derivation divides a^m by a^n yet claims exponent zero",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0058",
      "source_record_id": "OSPA-ADV-0058",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change the denominator from a^n to a^m so the derivation uses a^m/a^m = a^0",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:7eb13421-ab4a-588f-b4eb-92c291c57646"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Bounded source/target inspection on 2026-08-21: paragraph fs-id1571656 says the referenced rectangle is labeled b and h; figure 013 is the earlier 2 by 3 rug, while immediately following figure 035 is the b/h rectangle.",
      "id": "urn:uuid:a8ab2bf1-0600-5e3c-9822-c7f74e836458",
      "ledger_kind": "source_xref",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Preserve the localized target-id correction as one exact admitted source-xref repair; document and url remain null and no other link attribute may differ.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81332 /document[1]/content[1]/section[3]/para[1]/link[1]",
      "source_issue": "CNX_BMath_Figure_09_04_013",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0056",
      "source_record_id": "OSPA-ADV-0056",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "CNX_BMath_Figure_09_04_035",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:abcd191f-d1d2-57b3-a438-01cb5e81a7a4"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source alt and referenced addition model compared",
      "id": "urn:uuid:aebdcf35-b4c4-55c1-8a3b-861a6ad06b75",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Bitmap itself remains unlocalized.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244 media eip-555",
      "source_issue": "Upstream eip-555 alt contains typos and a confusing block sequence",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0017",
      "source_record_id": "OSPA-ADV-0017",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewrite the Indonesian alt from the described visual operation while preserving asset and structure",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b1248e70-95fd-5ef7-b72c-bffaf5b5a567"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the corrected label and protected formula at this table.",
      "id": "urn:uuid:b02bbf09-ee13-5755-a50e-7f9314a0d9db",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The mismatched property cannot justify the displayed derivation.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81342 eip-id1168464917598",
      "source_issue": "The derivation uses a power-to-a-power step but the source gives a product-to-a-power label and formula",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0063",
      "source_record_id": "OSPA-ADV-0063",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace both with Sifat Pangkat dari Pangkat and (a^m)^n = a^(m·n)",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:df46ebcf-6f8e-56e2-9ab8-1511649539dc"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Problem part order and the four supplied quadrant answers inspected once",
      "id": "urn:uuid:b1c70bc5-e5e8-5a7a-b09b-8cff09ff29da",
      "ledger_kind": "answer_key",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "This is a plain-text answer-label correction; no MathML token changes.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81354 exercise fs-id1721933 solution fs-id1722038",
      "source_issue": "The fourth quadrant answer in a four-part solution repeats the label ⓐ",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0047",
      "source_record_id": "OSPA-ADV-0047",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change only the fourth label to ⓓ while preserving the correct answer I",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:9c9ca64d-21ea-57e3-ad1f-ecf5a80e5d7a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Frozen source alt compared with all six original bitmaps and localized native/4x renders",
      "id": "urn:uuid:b341b9d9-b38b-557f-80e0-6cfba82430f6",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The most severe source alt invents square root of negative 49 and omits the supplied positive square root of 49; another calls negative square root of 100 negative 100.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81315 classification media",
      "source_issue": "Upstream classification descriptions substitute or reorder expressions and call check marks x marks",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0029",
      "source_record_id": "OSPA-ADV-0029",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "localize six source-canvas SVGs and make every CNXML/SVG description match the actual expressions classifications and check marks",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier compare the problem with the supplied solution and graph.",
      "id": "urn:uuid:b452a214-bc71-5d64-af2f-82872521ec85",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The source coordinate places the point at the wrong vertical position.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-id1439903",
      "source_issue": "Part c gives the point (2,−3) although the supplied solution and graph require (2,−1)",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0070",
      "source_record_id": "OSPA-ADV-0070",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "change only (2,−3) to (2,−1)",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:db363414-796a-5937-a065-41e289df1987"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source-adjusted QName and ordered token replay",
      "id": "urn:uuid:bce5a677-01f0-5671-934e-eddda0f5d09e",
      "ledger_kind": "mathml_semantics",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Numeric and variable streams remain exact; two a comma b clauses are localized as separate variable math spans joined by Indonesian prose.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81316 MathML",
      "source_issue": "Invisible U+200B mtext delimiter whitespace and colon punctuation weaken MathML semantics",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0033",
      "source_record_id": "OSPA-ADV-0033",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "remove the invisible mtext normalize square-bracket tokens and encode two colons as mo",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:70acd44c-955d-5a3b-99c4-c718e767d648"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Exact source dimensions plus native-vector and rendered visual inspection",
      "id": "urn:uuid:c2d8175e-5b21-53da-806a-e2945dd1020c",
      "ledger_kind": "localized_media",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Final closure contains 80 retained JPEGs and three localized SVGs with no embedded raster or external reference.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81345 media 038 040 AppB_067",
      "source_issue": "Three source images contain English instructional labels or a self-assessment rubric",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0043",
      "source_record_id": "OSPA-ADV-0043",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "relink accessible native Indonesian SVG siblings without overwriting the source rasters",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:4a4190d7-ec4a-5da4-9000-324b66da34e3"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the replacement graph and all four coordinate descriptions.",
      "id": "urn:uuid:c9b43c68-b085-5a27-864a-70b9ddd70cc8",
      "ledger_kind": "answer_key",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "The unrelated source graph cannot serve as the answer to the exercise.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81340 fs-id1569949 and fs-id1569952",
      "source_issue": "The source answer graph is unrelated to the four requested points",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0072",
      "source_record_id": "OSPA-ADV-0072",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "replace it with a graph of (−2,−3), (3,−3), (−4,1), and (1,3/2) in their correct quadrants",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:dc4747fc-6b20-573f-8336-d40308bc488a"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Frozen CNXML structure and every displayed table row independently checked",
      "id": "urn:uuid:c9c16783-6ef4-580a-8098-7b60c266fa21",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "All 16 summaries and 4 aria labels are complete Indonesian descriptions consistent with their cells.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81318 tables",
      "source_issue": "Property-table aria claims 21 rows in the wrong order and a worked summary drops the division sign",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0038",
      "source_record_id": "OSPA-ADV-0038",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "rewrite the table descriptions from the actual 13-row property order and preserve (4/9) ÷ 0",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:b0541c8e-f694-58a8-9525-dd4013f01dbb"
      ],
      "correction_state": "preserved_adverse",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Source-bound numeric invariance replay",
      "id": "urn:uuid:d2b8d63b-083a-59ec-84a7-817fcb2a9a0b",
      "ledger_kind": "target_convention",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "preserved_adverse",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Indonesian convention commonly reverses these separators; changing them would alter mathematical token streams and image alignment. This deliberate source-faithful convention is accepted, not an unresolved repair.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243",
      "source_issue": "Source uses comma thousands separators and point decimals",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0006",
      "source_record_id": "OSPA-ADV-0006",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "source numeric tokens retained exactly",
      "upstream_report_disposition": "not_applicable_localized_or_workflow_only",
      "upstream_report_rationale": "Localized adaptation, retained source convention, or internal workflow matter; it is not an upstream source-defect report candidate.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:e9d86eaf-6457-55c4-87b6-3a54d6a6f3a6"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Admission receipt and verifier bind the corrected aria phrase at this ID.",
      "id": "urn:uuid:d4aea3fb-ed8c-50f3-ae90-c72c93f00439",
      "ledger_kind": "accessibility",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Dropping the parentheses changes how the polynomial product is parsed.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81347 eip-id1168467249818 aria-label",
      "source_issue": "The accessibility description drops the grouping in 4x²(x−5)",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0082",
      "source_record_id": "OSPA-ADV-0082",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "target_decision": "render 4x kuadrat kali buka kurung x kurang 5 tutup kurung",
      "upstream_report_disposition": "deferred_single_deduplicated_issue_candidate",
      "upstream_report_rationale": "Potential frozen-source defect; no upstream contact during production. Retain only as a candidate for one final high-confidence, deduplicated issue after corpus completion and tracker-policy review.",
      "upstream_report_reference": null
    },
    {
      "affected_unit_ids": [
        "urn:uuid:70acd44c-955d-5a3b-99c4-c718e767d648"
      ],
      "correction_state": "corrected_in_target",
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Substitution y=-3(1) and the source table's own x-row replay",
      "id": "urn:uuid:de4cac17-7c62-52d2-9e31-711b5573aa7e",
      "ledger_kind": "mathematical_accuracy",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "corrected_in_target",
      "record_type": "correction",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Ordered mi and mo streams remain exact; this is the only admitted mn delta in the module.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81345 solution fs-id1413033 table fs-id1453691",
      "source_issue": "Solution table for the graph of y = -3x gives the second y-value as positive 3",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-ADV-0041",
      "source_record_id": "OSPA-ADV-0041",
      "status": "mathematically_reviewed",
      "supersedes": null,
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            "excerpt": "h konkret dari Anak-anak mempelajari fakta dasar penjumlahan dan pengurangan dari pengalaman sehari-hari. Pada akhirnya, mereka mengetahui fa",
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            "excerpt": "Menyelesaikan Persamaan Satu Langkah dengan Penjumlahan dan Pengurangan (video eksternal berbahasa Inggris)",
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            "module_id": "m81322",
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            "excerpt": "ua monomial atau lebih, yang digabungkan dengan penjumlahan atau pengurangan",
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            "excerpt": "rangan berulang. Berapa kali kita dapat mengurangkan dari Karena mengurangkan tidak pernah mengubah jumlahnya, kita tidak akan pernah memperol",
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            "excerpt": "apat keping hitung. Kedua ruas sama. Selesaikan persamaan dengan mengurangkan keping hitung dari setiap ruas.",
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            "excerpt": " pada ruas mana variabel itu berada. Untuk mengisolasi kita akan mengurangkan dari kedua ruas. Kurangkan 74 dari kedua ruas. Sederhanakan. Unt",
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            "excerpt": "an operasi di dalam tanda kurung terlebih dahulu. Kemudian, kita mengurangkan dari kiri ke kanan.",
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            "excerpt": " kedua bilangan. Urutan bilangan tetap sama seperti dalam frasa. selisih 13 dan 8 Terjemahkan. Sederhanakan. 5",
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            "excerpt": "jelang tengah hari suhunya menjadi derajat Fahrenheit. Berapakah selisih suhu pada pagi hari dan suhu pada tengah hari?",
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            "excerpt": "Kita diminta menentukan selisih suhu pagi dan suhu tengah hari.",
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            "excerpt": "selisih 73 dan 27",
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            "excerpt": " sedangkan suhu terendahnya adalah derajat Fahrenheit. Berapakah selisih suhu tertinggi dan terendah?",
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            "excerpt": "rajat Fahrenheit dan suhu terendah derajat Fahrenheit. Berapakah selisih suhu tertinggi dan terendah yang diprediksi?",
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            "excerpt": " cuci dijual dengan harga promo Harga normalnya adalah Berapakah selisih harga normal dan harga promonya?",
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            "excerpt": "evisi dijual dengan harga promo Harga normalnya adalah Berapakah selisih harga normal dan harga promonya?",
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            "excerpt": "ah derajat, sedangkan suhu terendahnya adalah derajat. Berapakah selisih suhu tertinggi dan terendah?",
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            "start": 118,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[74]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "atas anak. Tahun lalu, kelas duanya terdiri atas anak. Berapakah selisih jumlah anak di kelas tiga dan kelas dua Olivia?",
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            "start": 104,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[75]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Selisih jumlah anak di kelas tiga dan kelas dua adalah 13 anak.",
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            "start": 0,
            "variant": "selisih",
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            "excerpt": "m grup musik sekolah dan siswa dalam orkestra sekolah. Berapakah selisih jumlah siswa dalam grup musik dan orkestra?",
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            "module_id": "m81245",
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            "start": 97,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[76]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "unung dijual dengan harga promo Harga normalnya adalah Berapakah selisih harga normal dan harga promonya?",
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            "start": 91,
            "variant": "selisih",
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            "excerpt": "Selisih harga normal dan harga promo adalah $251.",
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            "start": 0,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[77]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "kasur dijual dengan harga promo Harga normalnya adalah Berapakah selisih harga normal dan harga promonya?",
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            "path": "modules/m81245/index.cnxml",
            "start": 85,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[78]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "selisih 50 dan 18",
            "excerpt_start": 0,
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            "start": 0,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[85]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "selisih 90 dan 66",
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            "start": 0,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[86]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "empuh mil per galon. Truk anaknya menempuh mil per galon. Berapa selisih jarak tempuh per galon antara mobil Susana dan truk anaknya?",
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            "start": 103,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[99]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "empat belas dikurangi lima; selisih empat belas dan lima",
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            "start": 28,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": " ratus lima puluh satu dikurangi dua ratus empat puluh sembilan; selisih antara tiga ratus lima puluh satu dan dua ratus empat puluh semb",
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            "start": 69,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[3]/cnxml:exercise[3]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "selisih sembilan belas dan tiga belas",
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            "start": 0,
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            "end": 127,
            "excerpt": "rajat Fahrenheit dan suhu terendahnya derajat Fahrenheit. Berapa selisih antara suhu tertinggi dan suhu terendah?",
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            "start": 120,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[3]/cnxml:exercise[23]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Selisih dan",
            "excerpt_start": 0,
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            "path": "modules/m81256/index.cnxml",
            "start": 0,
            "variant": "selisih",
            "xml_id": "fs-id1499992",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[9]/cnxml:exercise[27]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "reka berubah, atau bervariasi, sehingga usia merupakan variabel. Selisih usia tahun di antara mereka selalu tetap, sehingga selisih usia ",
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            "start": 196,
            "variant": "selisih",
            "xml_id": "eip-464",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[2]"
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            "excerpt": "abel. Selisih usia tahun di antara mereka selalu tetap, sehingga selisih usia tersebut merupakan konstanta.",
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            "start": 255,
            "variant": "selisih",
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            "excerpt": "selisih dan",
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            "start": 0,
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            "excerpt": "Selisih dari dan berarti mengurangi dengan yang kita tulis sebagai",
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            "variant": "selisih",
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            "excerpt": "selisih dan",
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            "start": 0,
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            "excerpt": "ⓓ p dikurangi q; selisih p dan q",
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            "start": 17,
            "variant": "selisih",
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            "excerpt": "ⓐ 47 dikurangi 19; selisih empat puluh tujuh dan sembilan belas",
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            "start": 19,
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            "excerpt": "selisih dan satu",
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            "excerpt": "selisih dan",
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            "start": 0,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[3]/cnxml:entry[4]"
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            "excerpt": "16 dikurangi 9; selisih enam belas dan sembilan",
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            "excerpt": "y dikurangi 1 lebih besar dari 6; selisih y dan satu lebih besar dari enam",
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            "variant": "selisih",
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            "excerpt": "dikurangi selisih dan dikurangkan dari berkurang sebesar lebih sedikit daripada",
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            "excerpt": "selisih antara dan",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:example[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[2]"
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            "excerpt": "ⓐ Kata kuncinya adalah selisih, yang menunjukkan bahwa operasinya adalah pengurangan. Kata anta",
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            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "ⓐ selisih antara dan ⓑ hasil bagi dan",
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            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:note[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[2]"
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            "excerpt": "ⓐ selisih antara dua kali ⓑ dua kali selisih antara",
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            "start": 2,
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            "excerpt": "ⓐ selisih antara dua kali ⓑ dua kali selisih antara",
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            "start": 37,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:note[6]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[2]"
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            "excerpt": "Selisih antara 14 dan 9",
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            "start": 2,
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            "excerpt": "jelang sore, suhunya turun menjadi derajat Fahrenheit. Berapakah selisih suhu pagi dan sore?",
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            "start": 137,
            "variant": "selisih",
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            "excerpt": "Langkah 3. Ubah frasa tersebut menjadi ekspresi. Kata selisih menunjukkan pengurangan.",
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            "excerpt": "ah Menjelang sore, suhunya turun menjadi di bawah nol. Berapakah selisih suhu pagi dan sore?",
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            "start": 112,
            "variant": "selisih",
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            "excerpt": "ng. Menjelang matahari terbenam, suhunya turun menjadi Berapakah selisih suhu saat makan siang dan saat matahari terbenam?",
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            "module_id": "m81277",
            "path": "modules/m81277/index.cnxml",
            "start": 120,
            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:note[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "gian Death Valley adalah kaki di bawah permukaan laut. Berapakah selisih ketinggian Gunung Whitney dan Death Valley?",
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            "start": 250,
            "variant": "selisih",
            "xml_id": "fs-id933986",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "selisih ketinggian Gunung Whitney dan Death Valley",
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            "excerpt": "ba, ia menyelam ke sebuah gua di bawah permukaan laut. Berapakah selisih antara ketinggian puncak Haleakala dan kedalaman gua tersebut?",
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            "start": 188,
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            "excerpt": "an kapal selam Explorer berada di bawah permukaan air. Berapakah selisih posisi Nautilus dan Explorer?",
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            "path": "modules/m81277/index.cnxml",
            "start": 124,
            "variant": "selisih",
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            "excerpt": "g sama, suhu tertinggi di Embarrass, Minnesota, adalah Berapakah selisih suhu di Anaheim dan suhu di Embarrass?",
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            "variant": "selisih",
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            "excerpt": "an suhu tertinggi di Whitefield, New Hampshire, adalah Berapakah selisih suhu di Palm Springs dan suhu di Whitefield?",
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            "variant": "selisih",
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            "excerpt": "Jelaskan mengapa selisih dan adalah",
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            "excerpt": "Hasil kali dan selisih antara",
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            "variant": "selisih",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:note[4]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[2]"
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            "excerpt": " adalah sedangkan suhu tertinggi di Houlton, Maine adalah Berapa selisih suhu antara Laredo dan Houlton?",
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            "excerpt": "berat gram. Seekor bebek umumnya memiliki berat kilogram. Berapa selisih berat bebek dan merpati tersebut dalam gram?",
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            "excerpt": " pemecahan masalah. Ingatlah untuk mencari kata petunjuk seperti selisih, dari, dan dan.",
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            "excerpt": "Menentukan Keliling Lingkaran (video eksternal berbahasa Inggris)",
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            "excerpt": "Dalam latihan-latihan berikut, tentukan nilai hampiran untuk ⓐ keliling dan ⓑ luas setiap lingkaran. Jika ukuran diberikan dalam bentuk ",
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            "excerpt": "am kehidupan Anda ketika Anda mungkin perlu menentukan luas atau keliling lingkaran.",
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            "excerpt": "gi kebun berbentuk persegi panjang di halaman belakang rumahnya. Keliling pagar itu adalah kaki. Panjangnya kaki lebih besar daripada leba",
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            "excerpt": "mengukur jarak dalam kaki mengelilingi ruangan. Jarak ini adalah keliling.",
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            "excerpt": " tepi ubin, semut itu akan menempuh jarak inci. Jarak ini adalah keliling ubin.",
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            "excerpt": "ada bangun di bawah ini memiliki luas 1 inci persegi. Tentukan ⓐ keliling dan ⓑ luas bangun tersebut:",
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            "excerpt": "Keliling, persegi panjang adalah jarak mengelilingi persegi panjang terse",
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            "excerpt": "Keliling, sebuah persegi panjang adalah jumlah dua kali panjang dan dua k",
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            "excerpt": "buah persegi panjang adalah meter dan lebarnya meter. Tentukan ⓐ keliling dan ⓑ luasnya.",
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            "excerpt": "Keliling persegi panjang adalah 104 meter.",
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            "excerpt": "sebuah persegi panjang adalah yard dan lebarnya yard. Tentukan ⓐ keliling dan ⓑ luasnya.",
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            "excerpt": "sebuah persegi panjang adalah kaki dan lebarnya kaki. Tentukan ⓐ keliling dan ⓑ luasnya.",
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            "excerpt": "Tentukan panjang sebuah persegi panjang dengan keliling inci dan lebar inci.",
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            "excerpt": "Langkah 4.Terjemahkan. Tuliskan rumus yang sesuai. Rumus keliling persegi panjang menghubungkan semua informasi. Substitusikan inf",
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            "excerpt": "Keliling = 93 inci",
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            "excerpt": "Keliling sebuah lukisan berbentuk persegi panjang adalah sentimeter. Panj",
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            "excerpt": "erbentuk persegi panjang meter lebih pendek daripada panjangnya. Keliling taman bermain itu meter. Tentukan panjang dan lebarnya.",
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            "start": 0,
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            "excerpt": "erlu memasang ubin di lantai dapur, apakah Anda perlu mengetahui keliling atau luas dapur? Jelaskan alasan Anda.",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "mpak memiliki luas lebih besar? Bangun mana yang tampak memiliki keliling lebih besar?",
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            "variant": "keliling",
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            "excerpt": "u 16 satuan persegi. Persegi panjang berukuran 2 kali 8 memiliki keliling lebih besar: 20 satuan dibandingkan dengan 16 satuan untuk perse",
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            "excerpt": "Kegiatan Matematika Manipulatif Memvisualisasikan Luas dan Keliling akan membantu Anda memahami dengan lebih baik perbedaan antara l",
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            "excerpt": "Dengan menggunakan untuk hampiri (a) keliling dan (b) luas lingkaran yang berjari-jari inci. Jika Anda belum b",
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            "excerpt": "ak pasir berbentuk lingkaran memiliki jari-jari kaki. Tentukan ⓐ keliling dan ⓑ luas bak pasir tersebut.",
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            "excerpt": "Misalkan c = keliling lingkaran",
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            "excerpt": "h cermin berbentuk lingkaran memiliki jari-jari inci. Tentukan ⓐ keliling dan ⓑ luas cermin tersebut.",
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            "excerpt": "olam spa berbentuk lingkaran memiliki jari-jari kaki. Tentukan ⓐ keliling dan ⓑ luas kolam spa tersebut.",
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            "excerpt": "Rumus keliling biasanya dinyatakan menggunakan jari-jari lingkaran :",
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            "excerpt": "Kita akan menggunakan bentuk rumus keliling ini jika panjang diameter yang diberikan, bukan jari-jari.",
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            "excerpt": "ah meja berbentuk lingkaran memiliki diameter empat kaki. Berapa keliling meja tersebut?",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "keliling meja",
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            "excerpt": "Misalkan c = keliling meja",
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            "excerpt": "h persegi ditempatkan mengelilingi lingkaran, panjang sisinya 4. Keliling persegi adalah 16. Masuk akal bahwa keliling lingkaran, 12.56, s",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[6]/cnxml:entry[1]"
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            "excerpt": " panjang sisinya 4. Keliling persegi adalah 16. Masuk akal bahwa keliling lingkaran, 12.56, sedikit lebih kecil daripada 16.",
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            "excerpt": "Keliling meja adalah 12.56 kaki.",
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            "excerpt": "Tentukan keliling tungku api berbentuk lingkaran yang diameternya kaki.",
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            "excerpt": "Keliling Lingkaran (video eksternal berbahasa Inggris)",
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            "excerpt": "Keliling Bangun Gabungan Persegi Panjang dan Lingkaran (video eksternal b",
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            "start": 0,
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            "excerpt": "Sifat-Sifat Lingkaran Keliling: atau Luas:",
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            "excerpt": " ember cat berbentuk lingkaran dengan jari-jari inci. Tentukan ⓐ keliling dan ⓑ luas tutup tersebut.",
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            "excerpt": "stra besar berbentuk lingkaran dengan jari-jari inci. Tentukan ⓐ keliling dan ⓑ luas pizza.",
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            "excerpt": "kan air dalam bentuk lingkaran dengan jari-jari kaki. Tentukan ⓐ keliling dan ⓑ luas daerah lingkaran yang tersiram.",
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            "excerpt": "Karpet bundar memiliki jari-jari kaki. Tentukan ⓐ keliling dan ⓑ luas karpet.",
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            "excerpt": "Kolam refleksi berbentuk lingkaran dengan diameter kaki. Berapa keliling kolam tersebut?",
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            "start": 64,
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            "excerpt": "Meja putar berbentuk lingkaran dengan diameter inci. Berapa keliling meja putar tersebut?",
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            "variant": "keliling",
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            "excerpt": "Gergaji bundar memiliki diameter inci. Berapa keliling gergaji tersebut?",
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            "excerpt": "Koin bundar memiliki diameter sentimeter. Berapa keliling koin tersebut?",
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            "start": 49,
            "variant": "keliling",
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            "excerpt": "ggangan barbeku berbentuk lingkaran dengan diameter kaki. Berapa keliling panggangan tersebut?",
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            "start": 68,
            "variant": "keliling",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[1]/cnxml:exercise[9]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "atas loyang pai berbentuk lingkaran dengan diameter inci. Berapa keliling bagian atas loyang tersebut?",
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            "variant": "keliling",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[1]/cnxml:exercise[10]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Sebuah lingkaran memiliki keliling inci. Tentukan diameternya.",
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            "excerpt": "Sebuah lingkaran memiliki keliling kaki. Tentukan diameternya.",
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            "excerpt": "Sebuah lingkaran memiliki keliling meter. Tentukan diameternya.",
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            "excerpt": "Dalam latihan berikut, tentukan jari-jari lingkaran dengan keliling yang diberikan.",
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            "excerpt": "Sebuah lingkaran memiliki keliling kaki.",
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            "excerpt": "Sebuah lingkaran memiliki keliling mil.",
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            "variant": "keliling",
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            "excerpt": "Sebuah lingkaran memiliki keliling inci.",
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            "excerpt": "tabung berbentuk persegi panjang. Panjang persegi panjang adalah keliling alas tabung, dan lebarnya adalah tinggi tabung.",
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            "excerpt": "berarti jumlah 17 dan 26.",
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            "excerpt": "p bilangan kolom di bagian atas. Pastikan Anda memperoleh setiap jumlah yang ditampilkan. Jika mengalami kesulitan, buatlah modelnya. Pe",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "Pada contoh sebelumnya, jumlah satuan dan jumlah puluhan keduanya kurang dari Namun, apa yang t",
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            "excerpt": "Ubah ke notasi matematika dan sederhanakan: jumlah dan",
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            "excerpt": "Ubah ke notasi matematika dan sederhanakan: jumlah dan",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:note[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": " memperoleh nilai pada lima tes selama semester tersebut. Berapa jumlah seluruh poin yang ia peroleh pada kelima tes?",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Kita diminta mencari jumlah seluruh poin pada tes.",
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            "excerpt": "ari Jumat, mil pada hari Sabtu, dan mil pada hari Minggu. Berapa jumlah seluruh mil yang ditempuhnya pekan lalu?",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:note[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ga tingkat kelas. Banyak siswa pada setiap tingkat adalah Berapa jumlah seluruh siswanya?",
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            "start": 101,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:note[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah seluruhnya adalah 720 siswa.",
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            "excerpt": "mengitari suatu bangun geometri. Keliling suatu bangun merupakan jumlah panjang sisi-sisinya.",
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            "excerpt": "t. Kerjakan dari kanan ke kiri, dimulai dari tempat satuan. Jika jumlah pada suatu nilai tempat lebih dari 9, simpan ke nilai tempat ber",
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            "excerpt": "lima ditambah dua; jumlah 5 dan 2.",
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            "excerpt": "tiga belas ditambah delapan belas; jumlah 13 dan 18.",
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            "excerpt": "dua ratus empat belas ditambah enam ratus empat puluh dua; jumlah 214 dan 642",
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            "excerpt": " hari Rabu, mil pada hari Jumat, dan mil pada hari Sabtu. Berapa jumlah seluruh mil yang ditempuh Ethan?",
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            "excerpt": "sa, pada hari Rabu, pada hari Kamis, dan pada hari Jumat. Berapa jumlah seluruh rangkaian bunga yang dibuat Chloe?",
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            "excerpt": "ua tahun lalu, gajinya adalah dan tiga tahun lalu sebesar Berapa jumlah seluruh gaji Natalie selama tiga tahun terakhir?",
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            "excerpt": "al tiga rumah. Harga jual rumah-rumah tersebut adalah dan Berapa jumlah ketiga harga jual tersebut?",
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            "excerpt": "Berapa jumlah seluruh kalori dalam makan siang Paulette?",
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            "excerpt": "Berapa jumlah seluruh kalori dalam makan malam Fred?",
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            "excerpt": " Enam pria berada di dalam lift. Berat mereka adalah pon. Apakah jumlah berat mereka berada di bawah kapasitas maksimum lift?",
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            "excerpt": "Ya, jumlah beratnya adalah 1091 pon.",
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            "excerpt": "usik sekolah dan siswa dalam orkestra sekolah. Berapakah selisih jumlah siswa dalam grup musik dan orkestra?",
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            "excerpt": "Ketika kita mengalikan dua bilangan dengan jumlah digit yang berbeda, biasanya lebih mudah menulis bilangan yang l",
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            "excerpt": "Kita diminta menentukan jumlah seluruh perangko.",
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            "excerpt": "Tulis frasa untuk jumlah seluruhnya.",
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            "excerpt": "Ketika memasak nasi, Rena menggunakan air sebanyak dua kali jumlah beras. Berapa cangkir air yang diperlukan untuk memasak cangkir ",
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            "excerpt": "Anna C. Scott. Setiap ruang kelas memiliki 26 meja siswa. Berapa jumlah seluruh meja siswa?",
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            "excerpt": " hari Rabu, mil pada hari Kamis, dan mil pada hari Jumat. Berapa jumlah keseluruhan mil yang ditempuh Jackson?",
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            "excerpt": "kop di kompleks tersebut dan setiap ruang memiliki kursi. Berapa jumlah seluruh kursi di kompleks bioskop itu?",
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            "excerpt": " dijumlahkan. menyajikan beberapa contoh ekspresi aljabar dengan jumlah suku yang berbeda-beda. Perhatikan bahwa tanda operasi yang mend",
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            "excerpt": "Greg memiliki uang logam lima sen dan satu sen di sakunya. Jumlah uang logam satu sen adalah tujuh lebih sedikit daripada dua kali",
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            "excerpt": "uang logam satu sen adalah tujuh lebih sedikit daripada dua kali jumlah uang logam lima sen. Misalkan menyatakan jumlah uang logam lima ",
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            "excerpt": "ah lembar lima dolar adalah tiga lebih banyak daripada enam kali jumlah lembar sepuluh dolar. Misalkan menyatakan jumlah lembar sepuluh ",
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            "excerpt": " dan Bobby memakan bagian piza, apakah mereka memakan piza dalam jumlah yang sama? Dengan kata lain, apakah Kita dapat menggunakan blok ",
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            "excerpt": " dapat menukarkan uang kertas sebelum berangkat agar ia memiliki jumlah uang yang tepat.",
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            "excerpt": "tuk makan siang. Jika harga roti lapis , harga sebotol air , dan jumlah pajak penjualan , berapakah seluruh biaya makan siang Anda?",
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            "excerpt": "adi kata-kata. Seperti ditunjukkan dalam , pada cek kita menulis jumlah uang dengan angka sekaligus kata-kata.",
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            "excerpt": "Perhatikan bahwa pada pecahan awal—sebelum disederhanakan—jumlah angka nol dalam penyebut sama dengan banyaknya tempat desimal.",
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            "excerpt": "Keduanya memiliki jumlah digit yang sama.",
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            "excerpt": "”, tuliskan “0” dengan titik desimal di sebelah kanannya. Tandai jumlah tempat desimal yang diperlukan di sebelah kanan titik desimal be",
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            "excerpt": "s dibalik. Jika tanda dan bagian bilangan cacahnya sama, samakan jumlah tempat desimal dengan menuliskan nol di akhir bilangan yang memi",
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            "excerpt": "Pengisi tempat tidak diperlukan karena kedua bilangan mempunyai jumlah tempat desimal yang sama.",
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            "excerpt": "aktor-faktornya—dalam hal ini dua ditambah tiga—untuk memperoleh jumlah tempat desimal pada hasil kali—dalam hal ini lima.",
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            "excerpt": "angan desimal tanpa terlebih dahulu mengubahnya menjadi pecahan. Jumlah tempat desimal pada hasil kali sama dengan jumlah tempat desimal",
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            "excerpt": "Tempatkan tanda desimal. Jumlah tempat desimal pada hasil kali sama dengan jumlah tempat desimal",
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            "excerpt": "tanda desimal. Jumlah tempat desimal pada hasil kali sama dengan jumlah tempat desimal pada faktor-faktornya. Jika diperlukan, gunakan n",
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            "excerpt": "a dan sebuah tas tangan seharga Pajak penjualannya adalah Berapa jumlah yang dibelanjakan Amber?",
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            "excerpt": "da desimal. Banyaknya tempat desimal pada hasil kali sama dengan jumlah banyaknya tempat desimal pada faktor-faktornya. Gunakan nol seba",
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            "excerpt": "desimal dengan pangkat 10. Geser tanda desimal ke kanan sebanyak jumlah nol pada pangkat 10 tersebut. Tambahkan nol di akhir bilangan se",
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            "excerpt": "aus seharga dan buku seharga . Pajak penjualannya sebesar Berapa jumlah yang dibelanjakan Adam?",
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            "excerpt": "ngan utama dan untuk minuman. Ia memberikan tip sebesar . Berapa jumlah yang dibelanjakan Roberto?",
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            "excerpt": "an rekan-rekan kerjanya. Harga setiap cangkir kopi adalah Berapa jumlah yang ia bayarkan untuk semua kopi itu?",
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            "excerpt": "anah. Minggu lalu ia naik kereta bawah tanah selama hari. Berapa jumlah yang ia belanjakan untuk ongkos kereta bawah tanah?",
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            "variant": "jumlah",
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            "excerpt": "lnya adalah Berapa yang harus dibayar setiap anak perempuan jika jumlah orang yang berbagi mud pie adalah",
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            "excerpt": "biaya piza sebesar . Berapa yang harus dibayar setiap orang jika jumlah orang yang berbagi piza adalah",
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            "excerpt": "ngan bilangan desimal penting dalam kehidupan sehari-hari karena jumlah uang biasanya ditulis sebagai bilangan desimal. Jika suatu soal ",
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
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            "excerpt": "Apakah jumlah dan sama dengan ?",
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            "variant": "jumlah",
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            "excerpt": "Apakah jumlah dan sama dengan ?",
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            "start": 7,
            "variant": "jumlah",
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
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            "variant": "jumlah",
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            "excerpt": "Jumlah dan adalah .",
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            "variant": "jumlah",
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            "excerpt": "Jumlah dan adalah",
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            "path": "modules/m81300/index.cnxml",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[68]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": " disebut rata-rata aritmetika. Nilai ini dihitung dengan membagi jumlah seluruh nilai dengan banyaknya nilai. Siswa ingin mengetahui rat",
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            "excerpt": "Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pembilang.",
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            "excerpt": "Tuliskan rumus rata-rata hitung: Tuliskan jumlah bilangan pada pembilang. Hitung banyaknya bilangan dalam himpuna",
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            "excerpt": "Yen menghitung jumlah surel yang diterimanya minggu lalu. Jumlahnya adalah Carilah rat",
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            "excerpt": "terimanya minggu lalu. Jumlahnya adalah Carilah rata-rata hitung jumlah surel.",
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            "variant": "jumlah",
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            "excerpt": "ilangan asal. Dalam contoh berikutnya, semua bilangan menyatakan jumlah uang sehingga masuk akal untuk melaporkan rata-rata hitung dalam",
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            "excerpt": "takan banyaknya ini dengan lalu tuliskan pada penyebut. Tuliskan jumlah seluruh bilangan pada pembilang. Sederhanakan pecahan.",
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            "excerpt": "Minggu lalu, Ray mencatat jumlah uang yang dibelanjakannya untuk makan siang pada setiap hari ker",
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            "excerpt": "a ke stasiun pengisian bahan bakar. Tanda terima itu menunjukkan jumlah berikut: Carilah rata-rata hitungnya.",
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            "start": 124,
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            "excerpt": "Perhatikan bahwa ketika jumlah gadis adalah median merupakan tinggi badan ketiga, tetapi ketika",
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            "excerpt": "gadis adalah median merupakan tinggi badan ketiga, tetapi ketika jumlah gadis adalah median merupakan rata-rata hitung dari tinggi badan",
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            "excerpt": "Jumlah hari cuti sakit yang diambil para karyawan tahun lalu: Tentukan ",
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            "excerpt": " lima buah tersebut adalah pisang. Peluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "excerpt": "eluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "excerpt": "Peluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "excerpt": "eluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "excerpt": "Berapa jumlah hasil yang diinginkan?",
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            "excerpt": "Berapa jumlah hasil yang diinginkan?",
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            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[3]/cnxml:entry[1]"
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            "excerpt": "Berapa jumlah seluruh hasil yang mungkin?",
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            "variant": "jumlah",
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            "excerpt": "ri sekumpulan bilangan. Tuliskan rumus rata-rata hitung Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pemb",
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            "excerpt": "ta hitung Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pembilang. Hitung banyaknya nilai dalam himpunan, ",
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            "excerpt": "lanjakan. Jumlahnya adalah , , , dan . Tentukan rata-rata hitung jumlah uang yang dibelanjakan.",
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            "excerpt": "Minggu lalu, Ray mencatat jumlah uang yang ia belanjakan untuk makan siang setiap hari kerja. Ia ",
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            "excerpt": "Sal mencatat jumlah uang yang ia belanjakan untuk bensin setiap minggu selama minggu",
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            "excerpt": "ggu selama minggu terakhir. Jumlahnya adalah dan Tentukan median jumlah tersebut.",
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            "excerpt": " perpangkatan sepuluh. Selama kedua tanda desimal digeser dengan jumlah tempat yang sama, rasionya akan tetap sama.",
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            "excerpt": "adalah tarif upah per jam. Tarif ini biasanya dinyatakan sebagai jumlah uang yang diperoleh untuk satu jam kerja. Misalnya, jika Anda di",
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            "excerpt": "Mulailah dengan laju perubahan antara jumlah dolar dan jumlah jam. Kemudian lakukan pembagian. Tuliskan sebag",
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            "excerpt": "Mulailah dengan laju perubahan antara jumlah dolar dan jumlah jam. Kemudian lakukan pembagian. Tuliskan sebagai laju perubahan",
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            "excerpt": "atuan. Untuk menentukan harga satuan, bagilah harga total dengan jumlah barang. Harga satuan adalah laju perubahan satuan untuk satu bar",
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            "excerpt": "ta menyusun sebuah persegi dengan tiga ubin pada setiap sisinya, jumlah seluruh ubin adalah sembilan.",
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            "start": 124,
            "variant": "jumlah",
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            "excerpt": "dengan galon AS bensin. Harga satu galon AS bensin adalah Berapa jumlah yang harus dibayar Jessie untuk seluruh bensin itu?",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[2]/cnxml:exercise[18]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan adalah",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[4]/cnxml:exercise[20]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah pelanggan di salon kecantikan Miranda pada setiap hari kerja min",
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            "excerpt": "iranda pada setiap hari kerja minggu lalu adalah Tentukan median jumlah pelanggannya.",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:para[9]"
          },
          {
            "block_characters": 118,
            "block_text_sha256": "7b7faa38773610e5aed38d8ae99c8471351b2f58d59f9038988e80dd3071eb74",
            "end": 80,
            "excerpt": "ihan berikut, tentukan ⓐ besar markup dan ⓑ harga jual. Bulatkan jumlah uang ke sen terdekat jika diperlukan.",
            "excerpt_start": 9,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 74,
            "variant": "jumlah",
            "xml_id": "eip-297",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:para[12]"
          },
          {
            "block_characters": 209,
            "block_text_sha256": "049b938416b855b0138fe1222ccb9a6520ebb5264bbf72fb40f773c46de542c6",
            "end": 163,
            "excerpt": "akan bahwa harga yang dibayarnya untuk syal tersebut sama dengan jumlah yang dihematnya. Apakah Roxy benar? Jelaskan.",
            "excerpt_start": 92,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 157,
            "variant": "jumlah",
            "xml_id": "fs-id1484428",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[3]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
            "block_characters": 200,
            "block_text_sha256": "1b94b1a11385b2abc9150959f60c3c195938a5249331c985d0bc46630b92a5c6",
            "end": 152,
            "excerpt": "n suku bunga ia akan membayar bunga sebesar selama tahun. Berapa jumlah yang dipinjamnya untuk membayar mobil tersebut?",
            "excerpt_start": 81,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 146,
            "variant": "jumlah",
            "xml_id": "fs-id1314922",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
            "block_characters": 99,
            "block_text_sha256": "e1b835fcf55fb0dde2bdbf32303e259be55ee9811ab305f6af92c0e5fe9d5930",
            "end": 53,
            "excerpt": "Periksa jawaban Anda. Apakah $17,590 merupakan jumlah pinjaman yang masuk akal untuk membeli mobil?",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 47,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[6]/cnxml:entry[1]"
          },
          {
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            "block_text_sha256": "aa3e5f24867ea913b3da9f45b4e729c6fda7a5f69b6320c50ae65f1fc180578a",
            "end": 6,
            "excerpt": "Jumlah yang dipinjam adalah $17,590.",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[10]/cnxml:entry[2]"
          },
          {
            "block_characters": 178,
            "block_text_sha256": "8516551834a621387aafbecef4ee0423ddfc739f1411743b33f7fa2e2e899274",
            "end": 126,
            "excerpt": "an membayar bunga sebesar dengan suku bunga selama tahun. Berapa jumlah yang dipinjamnya untuk membeli mobil baru tersebut?",
            "excerpt_start": 55,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 120,
            "variant": "jumlah",
            "xml_id": "fs-id1166498099782",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[5]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "block_text_sha256": "e74d32b6f17da406fc8dffa1ae1583b5b182b81e425fac114b32708cc3ef55ba",
            "end": 94,
            "excerpt": "abungan Gloria memperoleh bunga sebesar dengan suku bunga Berapa jumlah yang telah disetorkannya ke rekening tersebut?",
            "excerpt_start": 23,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 88,
            "variant": "jumlah",
            "xml_id": "fs-id1166491410163",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[6]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
            "block_characters": 83,
            "block_text_sha256": "e6b5a47e51778b38ab07b6c0b0d8f5943623e6652828ae4ca96e955562306127",
            "end": 66,
            "excerpt": "Periksa jawaban Anda. Apakah bunga sebesar $15.75 merupakan jumlah yang masuk akal?",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 60,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[1]"
          },
          {
            "block_characters": 242,
            "block_text_sha256": "a05ef6f0e91fbeefe6d4406eb5d86958ae55a80411c4d41d3749d0b108923389",
            "end": 159,
            "excerpt": "annya tepat. Sebagai contoh, dalam proporsi , kita membandingkan jumlah siswa dengan jumlah guru. Siswa ditempatkan pada pembilang dan g",
            "excerpt_start": 88,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 153,
            "variant": "jumlah",
            "xml_id": "fs-id1166492788523",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[3]"
          },
          {
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            "block_text_sha256": "a05ef6f0e91fbeefe6d4406eb5d86958ae55a80411c4d41d3749d0b108923389",
            "end": 179,
            "excerpt": " contoh, dalam proporsi , kita membandingkan jumlah siswa dengan jumlah guru. Siswa ditempatkan pada pembilang dan guru pada penyebut.",
            "excerpt_start": 108,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 173,
            "variant": "jumlah",
            "xml_id": "fs-id1166492788523",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[3]"
          },
          {
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            "block_text_sha256": "3a3c31b604303680f5f74c22f38b7c8e2c52b53e49e8c57bb75e4c30ebddf06e",
            "end": 47,
            "excerpt": "Ya. Karena 3.5 berada di antara 3 dan 4, jumlah kalorinya seharusnya berada di antara 360 (3⋅120) dan 480 (4⋅120",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 41,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[9]/cnxml:entry[1]"
          },
          {
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            "block_text_sha256": "461826d9776dca046b848dcd0f592cbf6c0cf9662ccd0008ae90c018ac9521c6",
            "end": 68,
            "excerpt": "Ketika sebuah dadu dilempar, peluang sisi atasnya menunjukkan jumlah titik genap adalah",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 62,
            "variant": "jumlah",
            "xml_id": "fs-id1166492350669",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[15]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "block_text_sha256": "1b31848a849f44953e1c856e5ff86eb469588072825b582a3a2221939ac2eb21",
            "end": 60,
            "excerpt": "Satu batang granola mengandung gram serat, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang di",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 54,
            "variant": "jumlah",
            "xml_id": "fs-id1166490839309",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
            "block_characters": 134,
            "block_text_sha256": "1b31848a849f44953e1c856e5ff86eb469588072825b582a3a2221939ac2eb21",
            "end": 98,
            "excerpt": "ung gram serat, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang dianjurkan?",
            "excerpt_start": 27,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 92,
            "variant": "jumlah",
            "xml_id": "fs-id1166490839309",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "end": 6,
            "excerpt": "Jumlah kendaraan di sebuah jalan bebas hambatan turun dari menjadi Tent",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1166493761344",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:exercise[11]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "end": 93,
            "excerpt": "dibagi menjadi bagian-bagianⓒ Pembulatan biasa akan menghasilkan jumlah yang lebih kecil.",
            "excerpt_start": 22,
            "module_id": "m81315",
            "path": "modules/m81315/index.cnxml",
            "start": 87,
            "variant": "jumlah",
            "xml_id": "fs-id1356578",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[2]/cnxml:exercise[2]/cnxml:solution[1]/cnxml:para[1]"
          },
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            "end": 23,
            "excerpt": "Perhatikan bahwa jumlah koefisien kedua dan ketiga merupakan bilangan cacah.",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 17,
            "variant": "jumlah",
            "xml_id": "fs-id1495597",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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          {
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            "end": 15,
            "excerpt": "ⓐ Berapa jumlah uang dalam amplop pertama?",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 9,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[1]"
          },
          {
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            "end": 15,
            "excerpt": "ⓑ Berapa jumlah uang dalam amplop kedua?",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 9,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[2]"
          },
          {
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            "block_text_sha256": "8e16d2602edcec82d11f3e2f7c451c9ecef0575bf3dc826ba6552d9252fa8797",
            "end": 120,
            "excerpt": "sing memerlukan yaitu dolar dan keping uang logam 25 sen. Berapa jumlah uang yang mereka perlukan? Anda dapat menghitung bagian dolar se",
            "excerpt_start": 49,
            "module_id": "m81317",
            "path": "modules/m81317/index.cnxml",
            "start": 114,
            "variant": "jumlah",
            "xml_id": "fs-id1763920",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[1]"
          },
          {
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            "end": 109,
            "excerpt": "on film, kita dapat menunjukkan langkah-langkah untuk menentukan jumlah uang yang mereka perlukan sebagai berikut:",
            "excerpt_start": 38,
            "module_id": "m81317",
            "path": "modules/m81317/index.cnxml",
            "start": 103,
            "variant": "jumlah",
            "xml_id": "fs-id1517853",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[4]"
          },
          {
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            "excerpt": "lukan untuk memanggang kalkun dengan mengalikan untuk memperoleh jumlah menit, lalu kalikan hasilnya dengan untuk mengubah menit menjadi",
            "excerpt_start": 30,
            "module_id": "m81318",
            "path": "modules/m81318/index.cnxml",
            "start": 95,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[1]"
          },
          {
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            "end": 85,
            "excerpt": "menggandakan larutan sebanyak galon AS kuart AS. Berapa galon AS jumlah seluruh larutan yang akan ia miliki?",
            "excerpt_start": 14,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 79,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[4]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "end": 120,
            "excerpt": "alam ons cair AS, berapa volume air di dalam botol itu? Bulatkan jumlah ons ke persepuluhan terdekat.",
            "excerpt_start": 49,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 114,
            "variant": "jumlah",
            "xml_id": "fs-id1687286",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "end": 142,
            "excerpt": "cukup dekat untuk keperluan sehari-hari. Pada , kita membulatkan jumlah ons cair AS ke persepuluhan terdekat.",
            "excerpt_start": 71,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 136,
            "variant": "jumlah",
            "xml_id": "fs-id1166483686028",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:para[4]"
          },
          {
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            "excerpt": "Pada suatu hari, Anya mencatat jumlah menit yang ia habiskan untuk mengemudi. Ia mencatat perjalanan s",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 31,
            "variant": "jumlah",
            "xml_id": "fs-id1452474",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[29]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "end": 65,
            "excerpt": "Multivitamin June mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 59,
            "variant": "jumlah",
            "xml_id": "fs-id1797481",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[41]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "end": 61,
            "excerpt": "Satu batang mentega mengandung gram lemak. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 55,
            "variant": "jumlah",
            "xml_id": "fs-id1310403",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[43]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "excerpt": "Satu porsi es krim gourmet mengandung gram lemak. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 62,
            "variant": "jumlah",
            "xml_id": "fs-id1725244",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[44]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "end": 67,
            "excerpt": "Satu cangkir yogurt mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 61,
            "variant": "jumlah",
            "xml_id": "fs-id1166490858528",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[5]/cnxml:exercise[17]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 63,
            "excerpt": "Satu cangkir yogurt mengandung gram protein. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 57,
            "variant": "jumlah",
            "xml_id": "fs-id1166497163441",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[5]/cnxml:exercise[18]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Satu cangkir susu mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
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            "excerpt": "Misalkan p menyatakan jumlah halaman yang dibaca dalam buku Psikologi. 41 + p = 54. Jeff memb",
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            "excerpt": " ingin membagi mereka menjadi kelompok yang sama besar. Tentukan jumlah anak dalam setiap kelompok, dengan menyelesaikan persamaan",
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            "module_id": "m81321",
            "path": "modules/m81321/index.cnxml",
            "start": 126,
            "variant": "jumlah",
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            "excerpt": "lah Tiket pelajar dijual seharga dan tiket dewasa dijual seharga Jumlah tiket dewasa yang terjual adalah lebih sedikit daripada kali jum",
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            "excerpt": "en. Jumlah koin sepuluh sen satu lebih sedikit daripada dua kali jumlah koin lima sen. Tentukan jumlah koin lima sen, dengan menyelesaik",
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            "excerpt": " dan satu sen. Jumlah koin satu sen adalah lebih banyak daripada jumlah koin sepuluh sen. Selesaikan persamaan untuk yaitu jumlah koin s",
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            "excerpt": "ripada jumlah koin sepuluh sen. Selesaikan persamaan untuk yaitu jumlah koin sepuluh sen.",
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            "excerpt": "ngko Travis membeli prangko senilai berupa prangko dan prangko . Jumlah prangko adalah lebih sedikit daripada jumlah prangko . Selesaika",
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            "excerpt": "pada jumlah prangko . Selesaikan persamaan untuk guna menentukan jumlah prangko yang dibeli Travis.",
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            "excerpt": "an pusat warga lansia adalah pria. Jika terdapat pria, berapakah jumlah seluruh orang di ruang makan tersebut?",
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            "excerpt": "Yash membawa apel dan pisang ke sebuah piknik. Jumlah apel tiga lebih banyak daripada dua kali jumlah pisang. Yash mem",
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            "excerpt": "e sebuah piknik. Jumlah apel tiga lebih banyak daripada dua kali jumlah pisang. Yash membawa apel ke piknik tersebut. Berapa banyak pisa",
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            "excerpt": "yatakan apa yang dicari. Pilihlah sebuah variabel untuk mewakili jumlah pisang.",
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            "excerpt": " sebuah piknik tampak masuk akal. Soal tersebut menyatakan bahwa jumlah apel tiga lebih banyak daripada dua kali jumlah pisang. Jika ter",
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            "excerpt": "Guillermo membeli buku teks dan buku catatan di toko buku. Jumlah buku teks lebih banyak daripada jumlah buku catatan. Ia membeli ",
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            "excerpt": "uku catatan di toko buku. Jumlah buku teks lebih banyak daripada jumlah buku catatan. Ia membeli buku teks. Berapa banyak buku catatan y",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[4]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ry mengerjakan teka-teki Sudoku dan teka-teki silang minggu ini. Jumlah teka-teki Sudoku yang diselesaikannya tujuh lebih banyak daripad",
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            "excerpt": "Jumlah dua kali suatu bilangan dan tujuh adalah Tentukan bilangan terse",
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            "excerpt": "Langkah 6. Periksa: apakah jumlah dua kali 4 dan 7 sama dengan 15?",
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            "excerpt": "Jumlah tiga kali suatu bilangan dan tujuh adalah Tentukan bilangan ters",
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            "excerpt": "Satu bilangan lima lebih besar daripada bilangan lainnya. Jumlah kedua bilangan tersebut adalah dua puluh satu. Tentukan kedua bi",
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            "excerpt": " lainnya? Apakah tiga belas 5 lebih besar daripada 8? Ya. Apakah jumlah kedua bilangan tersebut 21?",
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            "excerpt": "Satu bilangan enam lebih besar daripada bilangan lainnya. Jumlah kedua bilangan tersebut adalah dua puluh empat. Tentukan kedua b",
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            "excerpt": "Apakah −9 empat lebih kecil daripada −5? Apakah jumlah keduanya −14?",
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            "excerpt": "u bilangan tiga lebih besar daripada tiga kali bilangan lainnya. Jumlah keduanya adalah negatif lima. Tentukan kedua bilangan tersebut.",
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            "excerpt": "las empat adalah perempuan. Jika terdapat anak perempuan, berapa jumlah seluruh anak di kelas tersebut?",
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            "excerpt": " suara sekolah adalah perempuan. Jika terdapat perempuan, berapa jumlah seluruh anggota paduan suara?",
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            "excerpt": "lah. Jumlah anak perempuan adalah lebih banyak daripada dua kali jumlah anak laki-laki. Tentukan jumlah anak laki-laki di klub tersebut.",
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            "excerpt": "h lebih banyak daripada dua kali jumlah anak laki-laki. Tentukan jumlah anak laki-laki di klub tersebut.",
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            "excerpt": "Terdapat anggota Pramuka Siaga di Pasukan Jumlah anggota pramuka adalah lebih banyak daripada lima kali jumlah pe",
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            "excerpt": "an Jumlah anggota pramuka adalah lebih banyak daripada lima kali jumlah pembina dewasa. Tentukan jumlah pembina dewasa.",
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            "excerpt": " lebih banyak daripada lima kali jumlah pembina dewasa. Tentukan jumlah pembina dewasa.",
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            "excerpt": " sedang mengeluarkan piring dan gelas dari mesin pencuci piring. Jumlah piring lebih sedikit daripada jumlah gelas. Jika terdapat piring",
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            "excerpt": " dari mesin pencuci piring. Jumlah piring lebih sedikit daripada jumlah gelas. Jika terdapat piring, berapa jumlah gelas?",
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            "module_id": "m81324",
            "path": "modules/m81324/index.cnxml",
            "start": 105,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[7]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ebih sedikit daripada jumlah gelas. Jika terdapat piring, berapa jumlah gelas?",
            "excerpt_start": 83,
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            "start": 148,
            "variant": "jumlah",
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            "excerpt": "Jumlah anak anjing di etalase toko hewan peliharaan adalah dua belas le",
            "excerpt_start": 0,
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            "excerpt": "se toko hewan peliharaan adalah dua belas lebih sedikit daripada jumlah anjing di toko tersebut. Jika terdapat anak anjing di etalase, b",
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            "excerpt": "g di toko tersebut. Jika terdapat anak anjing di etalase, berapa jumlah anjing di toko tersebut?",
            "excerpt_start": 104,
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            "start": 169,
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            "excerpt": "Jumlah suatu bilangan dan delapan adalah Tentukan bilangan tersebut.",
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            "start": 0,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[15]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah suatu bilangan dan sembilan adalah Tentukan bilangan tersebut.",
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            "excerpt": "Jumlah tiga kali suatu bilangan dan delapan adalah Tentukan bilangan te",
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            "excerpt": "Jumlah dua kali suatu bilangan dan enam adalah Tentukan bilangan terseb",
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            "start": 0,
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            "excerpt": "Tiga kali jumlah suatu bilangan dan sembilan adalah Tentukan bilangan tersebut.",
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            "excerpt": "Enam kali jumlah suatu bilangan dan delapan adalah Tentukan bilangan tersebut.",
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            "excerpt": "Salah satu bilangan lima lebih besar daripada bilangan lainnya. Jumlah keduanya tiga puluh tiga. Tentukan kedua bilangan tersebut.",
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            "excerpt_start": 0,
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            "start": 0,
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            "path": "modules/m81324/index.cnxml",
            "start": 68,
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            "excerpt": "u bilangan enam lebih besar daripada lima kali bilangan lainnya. Jumlah keduanya enam. Tentukan kedua bilangan tersebut.",
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            "start": 0,
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            "excerpt": "bilangan empat belas lebih kecil daripada bilangan lainnya. Jika jumlah keduanya ditambah tujuh, hasilnya adalah Tentukan kedua bilangan",
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            "module_id": "m81324",
            "path": "modules/m81324/index.cnxml",
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            "excerpt": "atu bilangan sebelas lebih kecil daripada bilangan lainnya. Jika jumlah keduanya ditambah delapan, hasilnya adalah Tentukan kedua bilang",
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan bilangan-bilangan b",
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            "start": 0,
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan bilangan-bilangan b",
            "excerpt_start": 0,
            "module_id": "m81324",
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            "start": 0,
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan bilangan-bilangan b",
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            "start": 0,
            "variant": "jumlah",
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            "excerpt": "Jumlah tiga bilangan bulat berurutan adalah Tentukan bilangan-bilangan ",
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            "excerpt": "Jumlah tiga bilangan bulat berurutan adalah Tentukan bilangan-bilangan ",
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            "start": 0,
            "variant": "jumlah",
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            "excerpt": "Untuk menentukan nilai total setumpuk koin 5 sen, kalikan jumlah koin 5 sen dengan nilai satu koin 5 sen. (Kredit: Darren Hester ",
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            "start": 58,
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            "excerpt": "n 10 sen, Anda akan mengetahui berapa banyak koin yang ada—yaitu jumlah koin 10 sen.",
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            "start": 194,
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            "excerpt": "di mana jumlah adalah jumlah koin, nilai adalah nilai setiap koin, dan nilai to",
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            "excerpt": " memiliki koin 10 sen dan koin 5 sen senilai di stoples koinnya. Jumlah koin 10 sen yang dimiliki Elaine tujuh lebih sedikit daripada ti",
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            "excerpt": " sen yang dimiliki Elaine tujuh lebih sedikit daripada tiga kali jumlah koin 5 sen. Berapa banyak setiap jenis koin yang dimiliki Elaine",
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            "excerpt": "ual seharga per tiket dan tiket dewasa dijual seharga per tiket. Jumlah tiket dewasa yang terjual adalah lebih sedikit daripada tiga kal",
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            "excerpt": "iket dewasa yang terjual adalah lebih sedikit daripada tiga kali jumlah tiket pelajar yang terjual. Berapa tiket pelajar dan tiket dewas",
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            "excerpt": "Langkah 3. Nyatakan. Nyatakan jumlah setiap jenis tiket menggunakan variabel.",
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            "excerpt": "Substitusikan nilainya untuk menentukan jumlah tiket dewasa.",
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            "excerpt": "ah Tiket harian dijual seharga dan tiket turnamen dijual seharga Jumlah tiket turnamen yang terjual adalah lebih banyak daripada jumlah ",
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            "excerpt": " Jumlah tiket turnamen yang terjual adalah lebih banyak daripada jumlah tiket harian yang terjual. Berapa tiket harian dan tiket turname",
            "excerpt_start": 136,
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            "excerpt": "eharga per tiket dan tiket lansia-anak dijual seharga per tiket. Jumlah tiket lansia-anak yang terjual adalah lebih sedikit daripada dua",
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            "excerpt": " lansia-anak yang terjual adalah lebih sedikit daripada dua kali jumlah tiket dewasa yang terjual. Berapa tiket lansia-anak dan tiket de",
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            "excerpt": "im undangan acara menyambut kelahiran bayi saudara perempuannya. Jumlah prangko empat lebih banyak daripada dua kali jumlah prangko . Be",
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            "excerpt": "erempuannya. Jumlah prangko empat lebih banyak daripada dua kali jumlah prangko . Berapa prangko dan prangko yang dibeli Monica?",
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            "excerpt": "“Jumlah prangko sen empat lebih banyak daripada dua kali jumlah prangko ",
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            "excerpt": "“Jumlah prangko sen empat lebih banyak daripada dua kali jumlah prangko sen.”",
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            "excerpt": "Tentukan jumlah prangko 49 sen yang dibelinya dengan mengevaluasi bentuk berikut",
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            "excerpt": "at mengirim kartu ucapan terima kasih atas hadiah pernikahannya. Jumlah prangko delapan lebih banyak daripada dua kali jumlah prangko . ",
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            "excerpt": "ikahannya. Jumlah prangko delapan lebih banyak daripada dua kali jumlah prangko . Berapa prangko dan prangko yang dibeli Eric?",
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            "excerpt": "Kailee membayar untuk prangko. Jumlah prangko empat lebih sedikit daripada tiga kali jumlah prangko . ",
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            "excerpt": "k prangko. Jumlah prangko empat lebih sedikit daripada tiga kali jumlah prangko . Berapa prangko dan prangko yang dibeli Kailee?",
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            "excerpt": " yang sama, nilai total dapat ditentukan sebagai berikut: dengan jumlah adalah banyaknya koin, nilai adalah nilai setiap koin, dan nilai",
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            "excerpt": "akan besaran tersebut.Gunakan ekspresi variabel untuk menyatakan jumlah setiap jenis koin dan tuliskan ekspresi tersebut dalam tabel. Ka",
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            "excerpt": "p jenis koin dan tuliskan ekspresi tersebut dalam tabel. Kalikan jumlah koin dengan nilainya untuk memperoleh nilai total setiap jenis k",
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            "excerpt": "Jaime memiliki dalam bentuk koin 10 sen dan koin 5 sen. Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 5 sen. Bera",
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            "excerpt": " dan koin 5 sen. Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 5 sen. Berapa banyak masing-masing jenis koin yang ia milik",
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            "excerpt": "Lee memiliki dalam bentuk koin 10 sen dan koin 5 sen. Jumlah koin 5 sen adalah lebih banyak daripada jumlah koin 10 sen. Bera",
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            "excerpt": "n dan koin 5 sen. Jumlah koin 5 sen adalah lebih banyak daripada jumlah koin 10 sen. Berapa banyak masing-masing jenis koin yang ia mili",
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            "excerpt": " memiliki koleksi koin 10 sen dan koin 25 sen dengan nilai total Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 25 sen. Ber",
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            "excerpt": " Setiap anak perempuan membayar dan setiap orang dewasa membayar Jumlah uang yang terkumpul untuk perkemahan adalah Jika jumlah anak per",
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            "excerpt": "ku. Teorema ini menyatakan bahwa pada setiap segitiga siku-siku, jumlah kuadrat panjang kedua sisi siku-sikunya sama dengan kuadrat panj",
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            "excerpt": "Keliling, sebuah persegi panjang adalah jumlah dua kali panjang dan dua kali lebar. Lihat .",
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            "excerpt": "Untuk setiap segitiga jumlah besar sudut-sudutnya adalah",
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            "excerpt": "Keliling segitiga adalah jumlah panjang ketiga sisinya.",
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            "excerpt": "pat membantu kita memahami rumus tersebut. Luas trapesium adalah jumlah luas kedua segitiga. Lihat .",
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            "excerpt": "si-sisi yang berhadapan sama. Keliling persegi panjang, , adalah jumlah dua kali panjang dan dua kali lebar. Luas persegi panjang, , ada",
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            "excerpt": "Sifat-sifat Segitiga Untuk setiap segitiga , jumlah besar ketiga sudutnya adalah 180°. Keliling segitiga adalah juml",
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            "excerpt": "mlah besar ketiga sudutnya adalah 180°. Keliling segitiga adalah jumlah panjang semua sisinya. Luas segitiga adalah satu per dua dikali ",
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            "excerpt": "jumlah air di dalam akuarium",
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            "excerpt": "agi menjadi dua persegi panjang. Luas daerah yang diarsir adalah jumlah luas kedua persegi panjang tersebut.",
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            "excerpt": "r tetapi panjangnya tidak diberi label. Sisi kanan bangun adalah jumlah panjang persegi panjang merah dan panjang persegi panjang biru. ",
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            "excerpt": "i sebuah segitiga dan sebuah persegi panjang. Luas bangun adalah jumlah luas segitiga dan persegi panjang tersebut.",
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            "excerpt": "h persegi panjang dan dua setengah lingkaran. Luas bangun adalah jumlah luas persegi panjang dan kedua setengah lingkaran tersebut.",
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            "excerpt": "atuan, lebar satuan, dan tinggi satuan. Dapatkah Anda menentukan jumlah seluruh satuan kubiknya? Mari kita amati lapis demi lapis.",
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            "excerpt": "bagi balok menjadi beberapa lapisan memudahkan kita membayangkan jumlah satuan kubik yang termuat di dalamnya. Balok berukuran kali kali",
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            "excerpt": "di sebuah konser adalah anak-anak. Jika terdapat anak, berapakah jumlah seluruh orang di konser tersebut?",
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            "excerpt": "Terdapat pemain saksofon dalam sebuah grup musik. Jumlah pemain saksofon adalah satu kurangnya dari dua kali jumlah pemai",
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            "excerpt": "Jumlah suatu bilangan dan tiga adalah empat puluh satu. Tentukan bilang",
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            "excerpt": "Francie memiliki uang dalam bentuk koin dime dan kuarter. Jumlah koin dime miliknya lebih banyak daripada koin kuarter. Berapa ba",
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            "excerpt": "Scott memiliki uang dalam bentuk koin penny dan nikel. Jumlah koin penny miliknya kali jumlah koin nikel. Berapa banyak setiap",
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            "excerpt": "lam bentuk koin penny dan nikel. Jumlah koin penny miliknya kali jumlah koin nikel. Berapa banyak setiap jenis koin yang ia miliki?",
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            "excerpt": "Paulette memiliki uang dalam pecahan dan . Jumlah lembar uang satu kurangnya dari dua kali jumlah lembar uang . Be",
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            "excerpt": "am pecahan dan . Jumlah lembar uang satu kurangnya dari dua kali jumlah lembar uang . Berapa banyak lembar uang dari setiap pecahan yang",
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            "excerpt": "ter. Jumlah koin penny miliknya lebih banyak daripada koin dime. Jumlah koin kuarter dua kali jumlah koin dime. Berapa banyak setiap jen",
            "excerpt_start": 59,
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            "start": 124,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[4]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ya lebih banyak daripada koin dime. Jumlah koin kuarter dua kali jumlah koin dime. Berapa banyak setiap jenis koin yang ia miliki?",
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            "start": 153,
            "variant": "jumlah",
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            "excerpt": " setiap tiket dewasa adalah dan harga setiap tiket anak adalah . Jumlah anak lebih banyak daripada dua kali jumlah orang dewasa. Berapa ",
            "excerpt_start": 51,
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[5]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "p tiket anak adalah . Jumlah anak lebih banyak daripada dua kali jumlah orang dewasa. Berapa banyak tiket dari setiap jenis yang terjual",
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            "excerpt": "i perangko. Jumlah perangko yang dibelinya lebih banyak daripada jumlah perangko . Berapa banyak perangko dari setiap jenis yang ia beli",
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            "excerpt": "Yumi menghabiskan untuk membeli perangko. Jumlah perangko yang dibelinya kurangnya dari kali jumlah perangko . Be",
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            "excerpt": "eli perangko. Jumlah perangko yang dibelinya kurangnya dari kali jumlah perangko . Berapa banyak perangko dari setiap jenis yang ia beli",
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            "excerpt": " lebih besar daripada sudut terkecil. Sudut terbesar sama dengan jumlah kedua sudut yang lain. Tentukan besar ketiga sudut tersebut.",
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            "excerpt": "g yang ikut mendaki adalah anak-anak. Jika terdapat anak, berapa jumlah seluruh orang yang ikut mendaki?",
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            "excerpt": "Jumlah dan dua kali suatu bilangan adalah Tentukan bilangan tersebut.",
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            "excerpt": "emiliki uang dalam bentuk koin dime dan kuarter di sakunya. Jika jumlah koin dime miliknya lebih banyak daripada koin kuarter, berapa ba",
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            "excerpt": "ap tiket dewasa adalah dan harga setiap tiket anak adalah . Jika jumlah tiket dewasa lebih sedikit daripada dua kali jumlah tiket anak, ",
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            "excerpt": "dalah . Jika jumlah tiket dewasa lebih sedikit daripada dua kali jumlah tiket anak, berapa banyak tiket dari setiap jenis yang terjual?",
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            "excerpt": "bilangan cacah, bentuk tersebut disebut monomial. Monomial, atau jumlah dan/atau selisih beberapa monomial, disebut polinomial.",
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            "excerpt": "Perhatikan bahwa 5 adalah jumlah eksponen 2 dan 3.",
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            "excerpt": "Jumlah penduduk dunia pada 4 Juli 2010 lebih dari",
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            "excerpt": "tor secara otomatis menampilkan jawaban dalam notasi ilmiah jika jumlah digitnya melebihi kapasitas layar kalkulator. Untuk mencari pelu",
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            "excerpt": "tor secara otomatis menampilkan jawaban dalam notasi ilmiah jika jumlah digitnya melebihi kapasitas layar kalkulator. Untuk mencari bany",
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            "excerpt": "Menurut www.cleanair.org, jumlah sampah yang dihasilkan di AS dalam satu tahun rata-rata mencapai",
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            "excerpt": "Digit",
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            "start": 0,
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            "end": 42,
            "excerpt": "Mengidentifikasi Nilai Tempat Sebuah Digit",
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            "excerpt": "Digit berada di tempat jutaan. Nilainya adalah",
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            "end": 5,
            "excerpt": "Digit berada di tempat ratus ribuan. Nilainya adalah",
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            "end": 5,
            "excerpt": "Digit berada di tempat puluh ribuan. Nilainya adalah",
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            "variant": "digit",
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            "excerpt": "Digit berada di tempat ribuan. Nilainya adalah",
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            "start": 0,
            "variant": "digit",
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            "excerpt": "Digit berada di tempat ratusan. Nilainya adalah",
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            "start": 0,
            "variant": "digit",
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            "end": 5,
            "excerpt": "Digit berada di tempat puluhan. Nilainya adalah",
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            "start": 0,
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            "end": 5,
            "excerpt": "Digit berada di tempat satuan. Nilainya adalah",
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            "start": 0,
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            "excerpt": "Dalam bilangan tentukan nilai tempat setiap digit berikut:",
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            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 7,
            "excerpt": "ⓐ Digit berada di tempat ribuan.",
            "excerpt_start": 0,
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            "path": "modules/m81243/index.cnxml",
            "start": 2,
            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:list[1]/cnxml:item[1]"
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            "excerpt": "ⓑ Digit berada di tempat puluh ribuan.",
            "excerpt_start": 0,
            "module_id": "m81243",
            "path": "modules/m81243/index.cnxml",
            "start": 2,
            "variant": "digit",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:list[1]/cnxml:item[2]"
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            "end": 7,
            "excerpt": "ⓒ Digit berada di tempat puluhan.",
            "excerpt_start": 0,
            "module_id": "m81243",
            "path": "modules/m81243/index.cnxml",
            "start": 2,
            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:list[1]/cnxml:item[3]"
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            "excerpt": "ⓓ Digit berada di tempat puluh jutaan.",
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            "start": 2,
            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:list[1]/cnxml:item[4]"
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            "excerpt": "ⓔ Digit berada di tempat jutaan.",
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            "excerpt": "Untuk bilangan berikut, tentukan nilai tempat setiap digit yang tercantum:",
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            "excerpt": "Untuk bilangan berikut, tentukan nilai tempat setiap digit yang tercantum:",
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            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:note[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "at menulis cek, Anda menuliskan bilangan dengan kata-kata maupun digit. Untuk menuliskan suatu bilangan dengan kata-kata, tuliskan bila",
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            "variant": "digit",
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            "excerpt": "langan dalam setiap periode, lalu nama periodenya. Mulailah dari digit paling kiri, yang memiliki nilai tempat terbesar. Koma memisahka",
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            "excerpt": "Mulai dari digit paling kiri, sebutkan bilangan dalam setiap periode, lalu nama p",
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            "excerpt": "Mulailah dengan digit paling kiri, yaitu 8. Digit itu berada di tempat triliunan.",
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            "excerpt": "Mulailah dengan digit paling kiri, yaitu 8. Digit itu berada di tempat triliunan.",
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            "excerpt": "a dan menuliskan bilangan yang diberikan dalam kata-kata sebagai digit.",
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            "excerpt": "Sebutkan bilangan dalam setiap periode dan letakkan digit pada posisi nilai tempat yang benar.",
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            "excerpt": "Kemudian tuliskan digit-digit pada setiap periode.",
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            "excerpt": "Kemudian tuliskan digit-digit pada setiap periode.",
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            "excerpt": "Gabungkan digit-digitnya, termasuk koma. Bilangannya adalah",
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            "excerpt": "Kemudian tuliskan digit-digit pada setiap periode.",
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            "excerpt": "Identifikasi periodenya. Dalam hal ini, hanya dua digit yang diberikan dan berada dalam periode miliaran. Untuk menulis ",
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            "excerpt": "a dalam periode miliaran. Untuk menulis bilangan cacah, tulislah digit nol untuk semua periode lainnya.",
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            "excerpt": " membulatkan suatu bilangan ke nilai tempat tertentu, perhatikan digit di sebelah kanan nilai tempat tersebut. Jika digit itu kurang da",
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            "excerpt": "u, perhatikan digit di sebelah kanan nilai tempat tersebut. Jika digit itu kurang dari bulatkan ke bawah. Jika digit itu lebih besar da",
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            "excerpt": "pat tersebut. Jika digit itu kurang dari bulatkan ke bawah. Jika digit itu lebih besar daripada atau sama dengan bulatkan ke atas.",
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            "excerpt": "p periode. Sebutkan bilangan pada setiap periode, lalu tempatkan digit-digitnya pada posisi nilai tempat yang benar.",
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            "excerpt": "lai tempat tertentu. Temukan nilai tempat yang ditentukan. Semua digit di sebelah kiri nilai tempat tersebut tidak berubah, kecuali jik",
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            "excerpt": "i sebelah kiri nilai tempat tersebut tidak berubah, kecuali jika digit pada nilai tempat itu adalah 9; dalam hal tersebut digitnya mung",
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            "excerpt": "ersebut digitnya mungkin berubah. (Lihat Langkah 3.) Garisbawahi digit di sebelah kanan nilai tempat yang ditentukan. Tentukan apakah d",
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            "excerpt": "t di sebelah kanan nilai tempat yang ditentukan. Tentukan apakah digit ini lebih besar daripada atau sama dengan 5. Jika ya, tambahkan ",
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            "excerpt": "ka digit itu juga 9, ulangi langkah ini. Jika tidak, jangan ubah digit pada nilai tempat yang ditentukan. Ganti semua digit di sebelah ",
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            "excerpt": "n yang dibagi. Ulangi mulai dari Langkah 1 sampai tidak ada lagi digit bilangan yang dibagi untuk diturunkan. Periksa dengan mengalikan",
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            "path": "modules/m81256/index.cnxml",
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            "excerpt": "Digit terakhir setiap bilangan yang diberi warna dalam adalah Hal ini ",
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            "excerpt": "enentukan apakah suatu bilangan merupakan kelipatan , perhatikan digit terakhirnya. Jika digit itu maka bilangan tersebut merupakan kel",
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            "excerpt": "ilangan merupakan kelipatan , perhatikan digit terakhirnya. Jika digit itu maka bilangan tersebut merupakan kelipatan",
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            "excerpt": "Apakah digit terakhirnya 0, 2, 4, 6, atau 8?",
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            "excerpt": "ama seperti kita mengidentifikasi kelipatan dengan memperhatikan digit terakhirnya, kita dapat mengidentifikasi kelipatan dengan memper",
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            "excerpt": "rnya, kita dapat mengidentifikasi kelipatan dengan memperhatikan digit terakhirnya.",
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            "excerpt": "Apakah digit terakhirnya 5 atau 0?",
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            "excerpt": "Apakah digit terakhirnya nol?",
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            "excerpt": "ola-pola lain yang telah kita periksa, pola ini tidak melibatkan digit terakhir. Pola kelipatan didasarkan pada jumlah digit. Jika juml",
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            "excerpt": "melibatkan digit terakhir. Pola kelipatan didasarkan pada jumlah digit. Jika jumlah digit suatu bilangan merupakan kelipatan maka bilan",
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            "excerpt": "Perhatikan bilangan Digit-digitnya adalah dan dan jumlahnya adalah Karena merupakan kelipa",
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            "excerpt": "jika digit terakhirnya 0",
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            "excerpt": "git ini lebih besar dari atau sama dengan 5? Ya—tambahkan 1 pada digit di nilai tempat yang diberikan. Tidak—jangan ubah digit di nilai",
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            "excerpt": "n 1 pada digit di nilai tempat yang diberikan. Tidak—jangan ubah digit di nilai tempat yang diberikan. Tuliskan kembali bilangan dengan",
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            "excerpt": "yang diberikan. Tuliskan kembali bilangan dengan menghapus semua digit di sebelah kanan nilai tempat yang diberikan.",
            "excerpt_start": 305,
            "module_id": "m81293",
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            "start": 370,
            "variant": "digit",
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            "excerpt": "ahulu jika ada, kemudian “koma” untuk titik desimal, lalu setiap digit setelahnya satu per satu, termasuk nol.",
            "excerpt_start": 91,
            "module_id": "m81293",
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            "start": 156,
            "variant": "digit",
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            "excerpt": "uliskan bilangan-bilangan dalam bentuk vertikal dengan meratakan digit-digitnya di sebelah kanan. Kalikan bilangan-bilangan tersebut se",
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            "module_id": "m81295",
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            "start": 122,
            "variant": "digit",
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            "excerpt": " banyaknya nol tambahan yang kita tulis, sisanya akan selalu dan digit tiga pada hasil bagi akan terus berulang tanpa akhir. Bilangan d",
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            "variant": "digit",
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            "excerpt": "Desimal berulang adalah bilangan desimal yang digit terakhir atau blok digit terakhirnya berulang tanpa akhir.",
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            "excerpt": "l berulang adalah bilangan desimal yang digit terakhir atau blok digit terakhirnya berulang tanpa akhir.",
            "excerpt_start": 6,
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            "start": 71,
            "variant": "digit",
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          {
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            "excerpt": "kita menggunakan notasi ringkas dengan menempatkan garis di atas digit yang berulang. Desimal berulang ditulis sebagai Garis di atas me",
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            "start": 153,
            "variant": "digit",
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          {
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            "excerpt": "Desimal berulang ditulis sebagai Garis di atas menunjukkan bahwa digit berulang tanpa akhir. Jadi,",
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            "start": 239,
            "variant": "digit",
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            "excerpt": "Pada bilangan desimal lain, dua digit atau lebih mungkin berulang. memperlihatkan beberapa contoh lain",
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            "start": 54,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:section[1]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[2]"
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            "excerpt": " digit pada hasil bagi juga berulang; akan berulang tanpa akhir. Digit pada tempat desimal pertama dalam hasil bagi, yaitu tidak termas",
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            "module_id": "m81298",
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            "variant": "digit",
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            "excerpt": " Brent memenangkan jackpot. Bulatkan bilangan desimal itu hingga digit bukan nol pertama, kemudian tuliskan cara membacanya dengan titi",
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            "module_id": "m81302",
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            "start": 265,
            "variant": "digit",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[42]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "ai tepat. Jawaban tersebut merupakan aproksimasi hingga sejumlah digit yang ditampilkan pada layar kalkulator. Simbol aproksimasi adala",
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            "module_id": "m81304",
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            "start": 435,
            "variant": "digit",
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          {
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            "excerpt": "Dalam penerapan aljabar, Anda jarang menggunakan digit sebanyak ini. Jadi, jika Anda ingin membulatkan hingga dua tempa",
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            "module_id": "m81304",
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            "variant": "digit",
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            "excerpt": "ahulu jika ada, kemudian “koma” untuk titik desimal, lalu setiap digit setelahnya satu per satu, termasuk nol.",
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            "path": "modules/m81304/index.cnxml",
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            "excerpt": "Javier akan memilih satu digit secara acak dari sampai Peluang ia memilih adalah",
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            "start": 25,
            "variant": "digit",
            "xml_id": "fs-id1166497343573",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[46]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": " desimal berhingga, yaitu desimal yang berhenti setelah sejumlah digit (seperti atau , merupakan bilangan rasional. Cukup tuliskan desi",
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            "module_id": "m81315",
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            "variant": "digit",
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            "excerpt": "ⓐ Garis di atas digit menunjukkan bahwa digit tersebut berulang tanpa akhir. Oleh kare",
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            "excerpt": "ⓐ Garis di atas digit menunjukkan bahwa digit tersebut berulang tanpa akhir. Oleh karena itu, adalah desimal b",
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            "excerpt": " Desimal ini merupakan desimal berhingga karena berakhir setelah digit , sehingga merupakan bilangan rasional.",
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            "excerpt": "langan cacah. Perhatikan baik-baik contoh perkalian bilangan dua digit berikut.",
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            "variant": "digit",
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      {
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            "excerpt": "uan. Ketika melakukannya tanpa model, kita mengatakan bahwa kita meminjam dari tempat puluhan dan menambahkan ke tempat satuan.",
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            "excerpt": "an puluhannya. Kita tidak dapat mengurangkan 6 dari 0, jadi kita meminjam 1 ratusan dan menambahkan 10 puluhan ke 0 puluhan yang kita mili",
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            "excerpt": "ⓐ Sifat Identitas Perkalianⓑ Sifat Identitas Penjumlahan",
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            "excerpt": "Tuliskan setiap bilangan sebagai bilangan cacah menggunakan angka.",
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            "excerpt": "ivitas Lembar Kerja Matematika Manipulatif “Memodelkan Pembagian Bilangan Cacah” akan membantu Anda memahami pembagian bilangan cacah dengan leb",
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            "excerpt": " Pembagian Bilangan Cacah” akan membantu Anda memahami pembagian bilangan cacah dengan lebih baik.",
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            "excerpt": " simbol. Ada beberapa jenis simbol yang akan kita gunakan. Dalam Bilangan Cacah, kita telah memperkenalkan simbol untuk empat operasi aritmetika",
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            "excerpt": "il uji keterbagian dengan melihat apakah hasil baginya merupakan bilangan cacah.",
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            "excerpt": "gan setiap bilangan asli mulai dari Jika hasil baginya merupakan bilangan cacah, pembagi dan hasil bagi membentuk pasangan faktor.",
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            "excerpt": "an. Ingatlah bahwa garis bilangan yang dibuat dalam Menjumlahkan Bilangan Cacah dimulai dari dan menunjukkan bilangan asli yang nilainya semakin",
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            "excerpt": "n tersebut. Dalam bagian itu, kita menemukan penyelesaian berupa bilangan cacah. Setelah mempelajari bilangan bulat, sekarang kita akan menemuka",
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            "excerpt": "merupakan penyelesaian persamaan sama saja, baik penyelesaiannya bilangan cacah maupun bilangan bulat.",
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            "excerpt": "Bilangan disebut pecahan campuran. Pecahan campuran terdiri atas bilangan cacah dan pecahan.",
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            "excerpt": "Pecahan campuran terdiri atas bilangan cacah dan pecahan dengan Pecahan ini ditulis sebagai berikut.",
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            "excerpt": "Pecahan CampuranSebuah pecahan campuran terdiri atas bilangan cacah dan pecahan , dengan . Pecahan tersebut ditulis sebagai berikut:",
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            "excerpt": "pecahan tidak sejati pada garis bilangan yang hanya diberi tanda bilangan cacah dari hingga .",
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            "excerpt": "o sering digunakan untuk menjelaskan pecahan. Dalam Mengurangkan Bilangan Cacah, kita mendefinisikan hasil bagi sebagai hasil pembagian. Hasil b",
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            "excerpt": "Jumlahkan bagian bilangan cacah, lalu jumlahkan bagian pecahannya.",
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            "excerpt": "i. Satu hal yang tetap sama adalah bahwa harganya biasanya bukan bilangan cacah. Pada papan harga AS, harga ditampilkan dengan titik desimal unt",
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            "excerpt": "an nilai tempat yang didasarkan pada perpangkatan sepuluh. Dalam Bilangan Cacah, kita belajar membaca sebagai sepuluh ribu. Demikian pula, nama ",
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            "excerpt": "alam uraian menurut nilai tempat ini, kata dan memisahkan bagian bilangan cacah dari bagian pecahan; letakkan tanda desimal pada batas tersebut.",
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            "excerpt": "Ubah kata-kata sebelum “dan” menjadi bagian bilangan cacah, lalu letakkan di sebelah kiri tanda desimal.",
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            "excerpt": "elah kanannya. Pada uraian menurut nilai tempat, tuliskan bagian bilangan cacah di sebelah kiri tanda desimal. Jika tidak ada bagian bilangan ca",
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            "excerpt": "kan untuk uraian menurut nilai tempat yang tidak memiliki bagian bilangan cacah, seperti “sembilan perseribu”. Uraian seperti ini dikenali dari ",
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            "excerpt": "ian pecahannya bernilai nol, bilangan desimal tersebut merupakan bilangan cacah. Jika bagian pecahannya tidak nol dan bilangan di sebelah kiri t",
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            "excerpt": "Bandingkan tanda dan bagian bilangan cacah terlebih dahulu. Bilangan nonnegatif lebih besar daripada bilang",
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            "excerpt": "a, bandingkan digit-digit di sebelah kanan tanda desimal seperti bilangan cacah.",
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            "excerpt": "membayar karena harga akhirnya dibulatkan ke sen terdekat. Dalam Bilangan Cacah, kita telah melihat bahwa bilangan dibulatkan untuk memperoleh n",
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            "excerpt": "lihat bahwa lebih dekat ke daripada ke Jadi, hasil pembulatan ke bilangan cacah terdekat adalah ⓑ Kita melihat bahwa lebih dekat ke daripada ke ",
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            "start": 91,
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            "excerpt": "ubah rasio menjadi pecahan yang pembilang dan penyebutnya berupa bilangan cacah.",
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            "start": 281,
            "variant": "bilangan cacah",
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            "variant": "bilangan cacah",
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            "excerpt": "gan disebut kuadrat sempurna karena merupakan kuadrat dari suatu bilangan cacah.",
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            "excerpt": "Kuadrat sempurna adalah kuadrat dari suatu bilangan cacah.",
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            "excerpt": " dari kuadrat sempurna. Akar kuadrat dari bilangan lain bukanlah bilangan cacah.",
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            "excerpt": "i bilangan-bilangan di antara dan berada di antara dan dan bukan bilangan cacah. Berdasarkan pola pada tabel di atas, kita dapat mengatakan bahw",
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            "excerpt": "Taksirlah di antara dua bilangan cacah berurutan.",
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            "excerpt": "Taksirlah di antara dua bilangan cacah berurutan.",
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            "excerpt": "lam latihan berikut, taksirlah setiap akar kuadrat di antara dua bilangan cacah berurutan.",
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            "excerpt": "p bilangan ke: ⓐ perseratusan terdekat ⓑ persepuluhan terdekat ⓒ bilangan cacah terdekat.",
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            "variant": "bilangan cacah",
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            "excerpt": "lam latihan berikut, taksirlah setiap akar kuadrat di antara dua bilangan cacah berurutan.",
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            "excerpt": "Taksirlah dengan menentukan dua bilangan cacah yang mengapitnya.",
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            "excerpt": "ak pada bilangan persen, tetapi sebagaimana kita dapat memandang bilangan cacah sebagai kita juga dapat memandang sebagai ) Perhatikan bahwa kit",
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            "excerpt": "inan hasil yang tak terbatas. Kita telah membahas bilangan asli, bilangan cacah, dan bilangan bulat. Dalam bab ini, kita akan mempelajari jenis ",
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            "excerpt": "elah belajar menjumlahkan, mengurangkan, mengalikan, dan membagi bilangan cacah, pecahan, bilangan bulat, dan desimal. Anda telah mengenal bahas",
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            "excerpt": "an bersifat rasional. Sekarang kita akan meninjau bilangan asli, bilangan cacah, bilangan bulat, dan desimal untuk memastikan bahwa semuanya ras",
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            "excerpt": "merupakan bilangan rasional. Ingat bahwa semua bilangan asli dan bilangan cacah juga merupakan bilangan bulat sehingga semuanya juga rasional.",
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            "excerpt": "kar kuadrat. Akar kuadrat dari kuadrat sempurna selalu merupakan bilangan cacah, sehingga merupakan bilangan rasional. Namun, bentuk desimal dar",
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            "excerpt": "Kita telah melihat bahwa semua bilangan asli merupakan bilangan cacah, semua bilangan cacah merupakan bilangan bulat, dan semua bilang",
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            "excerpt": "elihat bahwa semua bilangan asli merupakan bilangan cacah, semua bilangan cacah merupakan bilangan bulat, dan semua bilangan bulat merupakan bil",
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            "excerpt": "Tentukan apakah setiap bilangan dalam daftar berikut merupakan ⓐ bilangan cacah, ⓑ bilangan bulat, ⓒ bilangan rasional, ⓓ bilangan irasional, da",
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            "excerpt": "ⓐ Bilangan cacah adalah Bilangan adalah satu-satunya bilangan cacah yang diberika",
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            "excerpt": "ⓐ Bilangan cacah adalah Bilangan adalah satu-satunya bilangan cacah yang diberikan.",
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            "excerpt": "Tentukan apakah setiap bilangan merupakan ⓐ bilangan cacah, ⓑ bilangan bulat, ⓒ bilangan rasional, ⓓ bilangan irasional, da",
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            "excerpt": "ng telah kita kembangkan sebelumnya dalam bab ini untuk eksponen bilangan cacah juga berlaku bagi eksponen bilangan bulat. Sifat-sifat tersebut ",
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            "excerpt": "Bab 1 Bilangan Cacah",
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            "excerpt": "18.38 adalah hasil pembulatan 18.379 ke perseratusan terdekat.",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[7]/cnxml:entry[2]"
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            "excerpt": "Jadi, hasil pembulatan 18.379 ke bilangan cacah terdekat adalah 18.",
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            "excerpt": "Pembulatan Bilangan Desimal (video eksternal berbahasa Inggris)",
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            "start": 0,
            "variant": "pembulatan",
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            "excerpt": "latkan hasil bagi. Banyaknya tempat desimal yang digunakan untuk pembulatan bergantung pada situasi. Jika bilangan desimal menyangkut uang, ",
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            "excerpt": "ⓐ 4ⓑ Guru tidak dapat dibagi menjadi bagian-bagianⓒ Pembulatan biasa akan menghasilkan jumlah yang lebih kecil.",
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            "excerpt": "hasilnya adalah jumlah tiga dan empat. Bilangan dan disebut suku-suku penjumlahan. Pernyataan matematika yang memuat bilangan dan operasi disebut ",
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            "excerpt": "Setiap suku penjumlahan kurang dari 10 sehingga kita dapat menggunakan blok satuan.",
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            "excerpt": "Setiap suku penjumlahan kurang dari 10 sehingga kita dapat menggunakan blok satuan.",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[1]/cnxml:entry[1]"
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            "excerpt": "ⓐ Suku penjumlahan pertama adalah nol. Jumlah bilangan apa pun dan nol adalah bilan",
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            "excerpt": "Dalam latihan berikut, tentukan bilangan mana yang merupakan ⓐ bilangan asli dan ⓑ bilangan cacah.",
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            "excerpt": " Manipulatif Garis Bilangan—Bagian 1 akan membantu Anda memahami bilangan asli dan bilangan cacah dengan lebih baik.",
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            "excerpt": "sebut kelipatan Kelipatan dapat ditulis sebagai hasil kali suatu bilangan asli dengan Enam kelipatan pertama dari diberikan di bawah ini.",
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            "excerpt": " suatu bilangan asli. Jadi, kelipatan merupakan hasil kali suatu bilangan asli dengan Di bawah ini diberikan enam kelipatan pertama dari",
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            "excerpt": "pecahan yang penyebutnya merupakan perpangkatan sepuluh. Seperti bilangan asli, bilangan desimal juga didasarkan pada perpangkatan sepuluh. men",
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            "excerpt": "Gunakan sifat komutatif untuk menuliskan kembali bentuk berikut: ⓐ ⓑ",
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            "excerpt": "ma dan ketiga saling berlawanan, sehingga kita dapat menggunakan Sifat Komutatif Penjumlahan untuk mengubah urutan suku.",
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            "excerpt": " dan ketiga saling berkebalikan, sehingga kita dapat menggunakan Sifat Komutatif Perkalian untuk mengubah urutan faktor.",
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            "excerpt": "fSifat Komutatif Penjumlahan:Jika dan adalah bilangan real, maka Sifat Komutatif Perkalian:Jika dan adalah bilangan real, maka",
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            "excerpt": "Dengan kata-kata Anda sendiri, nyatakan Sifat Komutatif Penjumlahan dan jelaskan kegunaannya.",
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            "excerpt": "Dalam latihan berikut, gunakan sifat komutatif untuk menuliskan kembali bentuk yang diberikan.",
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            "excerpt": "Dalam latihan berikut, sederhanakan dengan menggunakan sifat komutatif dan asosiatif.",
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            "excerpt": "Tulis ulang dengan menggunakan sifat komutatif:",
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            "variant": "sifat komutatif",
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            "excerpt": "Susun ulang suku-suku menggunakan Sifat Komutatif Penjumlahan.",
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            "module_id": "m81320",
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            "start": 34,
            "variant": "sifat komutatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[2]/cnxml:entry[1]"
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            "excerpt": "Gunakan Sifat Komutatif Penjumlahan untuk menyusun ulang suku-suku.",
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            "module_id": "m81320",
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            "excerpt": "Gunakan Sifat Komutatif Penjumlahan.",
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            "module_id": "m81320",
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            "start": 8,
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            "excerpt": "a Anda belum berhasil menyelesaikan soal ini, tinjau Menggunakan Sifat Komutatif dan Asosiatif.",
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            "variant": "sifat komutatif",
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            "excerpt": " sejenis, yaitu suku-suku dengan variabel dan pangkat yang sama. Sifat Komutatif memungkinkan kita menyusun ulang suku-suku agar suku-suku sejeni",
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            "start": 196,
            "variant": "sifat komutatif",
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            "excerpt": "Gunakan Sifat Komutatif.",
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            "module_id": "m81335",
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            "start": 8,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[1]"
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            "excerpt": "Gunakan Sifat Komutatif.",
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            "module_id": "m81335",
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            "start": 8,
            "variant": "sifat komutatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[1]"
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            "excerpt": "Gunakan Sifat Komutatif untuk menyusun ulang faktor-faktornya.",
            "excerpt_start": 0,
            "module_id": "m81335",
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            "start": 8,
            "variant": "sifat komutatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[2]/cnxml:entry[1]"
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            "excerpt": "Gunakan Sifat Komutatif untuk menyusun ulang faktor-faktornya.",
            "excerpt_start": 0,
            "module_id": "m81335",
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            "start": 8,
            "variant": "sifat komutatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[2]/cnxml:entry[1]"
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            "variant": "sifat komutatif",
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            "excerpt": "Gunakan Sifat Komutatif untuk mengelompokkan basis-basis sejenis.",
            "excerpt_start": 0,
            "module_id": "m81342",
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            "start": 8,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[2]/cnxml:entry[1]"
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            "excerpt": "Gunakan Sifat Komutatif untuk menyusun ulang faktor-faktornya.",
            "excerpt_start": 0,
            "module_id": "m81342",
            "path": "modules/m81342/index.cnxml",
            "start": 8,
            "variant": "sifat komutatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[2]/cnxml:entry[1]"
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            "end": 23,
            "excerpt": "Gunakan Sifat Komutatif untuk menuliskannya dalam bentuk",
            "excerpt_start": 0,
            "module_id": "m81340",
            "path": "modules/m81340/index.cnxml",
            "start": 8,
            "variant": "sifat komutatif",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[1]"
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            "excerpt": "mpokan bilangan tidak mengubah hasilnya. Hal ini dikenal sebagai Sifat Asosiatif Penjumlahan.",
            "excerpt_start": 51,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 116,
            "variant": "sifat asosiatif",
            "xml_id": "eip-607",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[16]"
          },
          {
            "block_characters": 140,
            "block_text_sha256": "3d243ba2a97f74e89809c8b789d44b752744190f7b0bee60389fd9f18652707a",
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            "excerpt": "mpokan bilangan tidak mengubah hasilnya. Hal ini dikenal sebagai Sifat Asosiatif Perkalian.",
            "excerpt_start": 49,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 114,
            "variant": "sifat asosiatif",
            "xml_id": "eip-498",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[19]"
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          {
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            "excerpt": "tilahnya mungkin baru bagi Anda. Contoh-contoh ini menggambarkan Sifat Asosiatif.",
            "excerpt_start": 48,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 113,
            "variant": "sifat asosiatif",
            "xml_id": "eip-7",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[21]"
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            "path": "modules/m81316/index.cnxml",
            "start": 0,
            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[4]/cnxml:title[1]"
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          {
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            "excerpt": "Sifat Asosiatif Penjumlahan: jika dan adalah bilangan real, maka",
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            "start": 0,
            "variant": "sifat asosiatif",
            "xml_id": "fs-id1496318",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[4]/cnxml:para[1]"
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            "excerpt": "Sifat Asosiatif Perkalian: jika dan adalah bilangan real, maka",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 0,
            "variant": "sifat asosiatif",
            "xml_id": "fs-id1166490872746",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[4]/cnxml:para[2]"
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            "excerpt": "Gunakan sifat asosiatif untuk menuliskan kembali bentuk berikut:",
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            "module_id": "m81316",
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            "start": 8,
            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Gunakan sifat asosiatif untuk menuliskan kembali bentuk berikut: ⓐ ⓑ",
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            "path": "modules/m81316/index.cnxml",
            "start": 8,
            "variant": "sifat asosiatif",
            "xml_id": "fs-id1475950",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[5]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Gunakan sifat asosiatif untuk menuliskan kembali bentuk berikut: ⓐ ⓑ",
            "excerpt_start": 0,
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            "path": "modules/m81316/index.cnxml",
            "start": 8,
            "variant": "sifat asosiatif",
            "xml_id": "fs-id1230781",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[6]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Selain menggunakan sifat-sifat asosiatif untuk mempermudah perhitungan, kita juga sering menggunakannya u",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 25,
            "variant": "sifat asosiatif",
            "xml_id": "fs-id1166491412360",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[22]"
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          {
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            "excerpt": "Gunakan Sifat Asosiatif Perkalian untuk menyederhanakan:",
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            "start": 8,
            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Gunakan Sifat Asosiatif Perkalian untuk menyederhanakan bentuk berikut:",
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            "module_id": "m81316",
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            "start": 8,
            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[7]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Gunakan Sifat Asosiatif Perkalian untuk menyederhanakan bentuk berikut:",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 8,
            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[8]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "gian ⓑ di sini? Hanya pengelompokannya yang berubah. Berdasarkan Sifat Asosiatif Perkalian, Dengan memilih pengelompokan faktor secara cermat, ki",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
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            "variant": "sifat asosiatif",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "kah yang akan Anda lakukan. Contoh berikut menunjukkan bagaimana Sifat Asosiatif Perkalian dapat mempermudah pekerjaan jika Anda merencanakannya ",
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            "variant": "sifat asosiatif",
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            "excerpt": "Gunakan sifat asosiatif perkalian untuk mengelompokkan kembali faktor-faktornya.",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
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            "variant": "sifat asosiatif",
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            "excerpt": "atifSifat Asosiatif Penjumlahan: Jika adalah bilangan real, maka Sifat Asosiatif Perkalian: Jika adalah bilangan real, maka",
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            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 76,
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            "excerpt": "Dalam latihan berikut, gunakan sifat-sifat asosiatif untuk menulis ulang bentuk yang diberikan.",
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            "path": "modules/m81316/index.cnxml",
            "start": 37,
            "variant": "sifat asosiatif",
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            "variant": "sifat asosiatif",
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            "excerpt": "Kelompokkan kembali dengan menggunakan sifat asosiatif.",
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            "start": 39,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[3]/cnxml:entry[1]"
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            "excerpt": "ⓐ 8 jamⓑ 8ⓒ sifat asosiatif perkalian",
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            "start": 12,
            "variant": "sifat asosiatif",
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            "excerpt": "Dalam latihan berikut, gunakan sifat asosiatif untuk menuliskan kembali bentuk yang diberikan.",
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            "variant": "sifat asosiatif",
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        ],
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        "preferred_term": "sifat komutatif / sifat asosiatif",
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        "variants": [
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      },
      {
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            "excerpt": "Seorang siswa melakukan penelitian dan menemukan bahwa jumlah pengguna ponsel di Amerika Serikat selama satu bulan di adalah S",
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            "excerpt": "Jadi jumlah pengguna telepon seluler di Amerika Serikat pada bulan April ada",
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            "excerpt": "novasi dapur Marissa Dia menulis cek kepada kontraktor. Tuliskan jumlah yang dibayarkan dengan kata-kata.",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "elama jam pada hari Senin dan jam pada hari Jumat. Untuk mencari jumlah seluruh jam kerjanya pada pekan lalu, ia menjumlahkan dan",
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            "excerpt": "njumlahan menggabungkan bilangan-bilangan untuk memperoleh suatu jumlah. Notasi yang kita gunakan untuk mencari jumlah dan adalah:",
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            "excerpt": " memperoleh suatu jumlah. Notasi yang kita gunakan untuk mencari jumlah dan adalah:",
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            "excerpt": "Kita membacanya sebagai tiga ditambah empat, dan hasilnya adalah jumlah tiga dan empat. Bilangan dan disebut suku-suku penjumlahan. Pern",
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            "excerpt": "jumlah dan",
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            "excerpt": " 1. Kita membacanya sebagai tujuh ditambah satu. Hasilnya adalah jumlah tujuh dan satu.",
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            "excerpt": "mbacanya sebagai dua belas ditambah empat belas. Hasilnya adalah jumlah dua belas dan empat belas.",
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            "excerpt": "ⓐ delapan ditambah empat; jumlah delapan dan empat",
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            "excerpt": "ⓑ delapan belas ditambah sebelas; jumlah delapan belas dan sebelas",
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            "excerpt": "ⓐ dua puluh satu ditambah enam belas; jumlah dua puluh satu dan enam belas",
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            "excerpt": "ⓑ seratus ditambah dua ratus; jumlah seratus dan dua ratus",
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            "start": 30,
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            "excerpt": "Hitung jumlah seluruh blok.",
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            "excerpt": "dapat blok. Kita menggunakan tanda sama dengan untuk menunjukkan jumlah. Kalimat matematika yang menyatakan bahwa dua ekspresi bernilai ",
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            "excerpt": "berarti jumlah dan .",
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            "excerpt": "Hitung jumlah seluruh blok.",
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            "start": 7,
            "variant": "jumlah",
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            "excerpt": "berarti jumlah dan",
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            "end": 14,
            "excerpt": "berarti jumlah 17 dan 26.",
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            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "p bilangan kolom di bagian atas. Pastikan Anda memperoleh setiap jumlah yang ditampilkan. Jika mengalami kesulitan, buatlah modelnya. Pe",
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            "excerpt": "kan apa yang terjadi ketika nol ditambahkan pada suatu bilangan? Jumlah bilangan apa pun dan nol adalah bilangan itu sendiri. Sifat ini ",
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            "excerpt": "Jumlah bilangan apa pun dan adalah bilangan tersebut.",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "ⓐ Suku penjumlahan pertama adalah nol. Jumlah bilangan apa pun dan nol adalah bilangan tersebut.",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "Tentukan setiap jumlah berikut: ⓐ ⓑ",
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            "excerpt": "Pada contoh sebelumnya, jumlah satuan dan jumlah puluhan keduanya kurang dari Namun, apa yang t",
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            "excerpt": "Pada contoh sebelumnya, jumlah satuan dan jumlah puluhan keduanya kurang dari Namun, apa yang terjadi jika jumlah",
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            "excerpt": "t. Kerjakan dari kanan ke kiri, dimulai dari tempat satuan. Jika jumlah pada suatu nilai tempat lebih dari simpan ke nilai tempat beriku",
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            "excerpt": "ditambah jumlah bertambah sebesar lebih banyak dari jumlah dari ditambahkan pada",
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            "excerpt": "al tiga rumah. Harga jual rumah-rumah tersebut adalah dan Berapa jumlah ketiga harga jual tersebut?",
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            "excerpt": "Berapa jumlah seluruh kalori dalam makan siang Paulette?",
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            "excerpt": "Jumlah seluruh kalorinya adalah 640.",
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            "excerpt": "Berapa jumlah seluruh kalori dalam makan malam Fred?",
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            "excerpt": " Enam pria berada di dalam lift. Berat mereka adalah pon. Apakah jumlah berat mereka berada di bawah kapasitas maksimum lift?",
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            "excerpt": "Ya, jumlah beratnya adalah 1091 pon.",
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            "excerpt": "Jumlah siswa Kelas tiga Olivia terdiri atas anak. Tahun lalu, kelas dua",
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            "excerpt": "k. Tahun lalu, kelas duanya terdiri atas anak. Berapakah selisih jumlah anak di kelas tiga dan kelas dua Olivia?",
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            "excerpt": "Jumlah siswa Terdapat siswa dalam grup musik sekolah dan siswa dalam or",
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            "excerpt": "usik sekolah dan siswa dalam orkestra sekolah. Berapakah selisih jumlah siswa dalam grup musik dan orkestra?",
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            "excerpt": "Ketika kita mengalikan dua bilangan dengan jumlah digit yang berbeda, biasanya lebih mudah menulis bilangan yang l",
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            "excerpt": "Kita diminta menentukan jumlah seluruh perangko.",
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            "excerpt": "Tulis frasa untuk jumlah seluruhnya.",
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            "excerpt": "Ketika memasak nasi, Rena menggunakan air sebanyak dua kali jumlah beras. Berapa cangkir air yang diperlukan untuk memasak cangkir ",
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            "excerpt": "Anna C. Scott. Setiap ruang kelas memiliki 26 meja siswa. Berapa jumlah seluruh meja siswa?",
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            "excerpt": "uah untuk pesta. Resepnya memerlukan sari buah sebanyak dua kali jumlah air soda. Jika ia menggunakan 10 cangkir air soda, berapa cangki",
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            "excerpt": " kebun sayur. Ia ingin memiliki tanaman selada sebanyak dua kali jumlah tanaman tomat. Jika ia membeli 12 tanaman tomat, berapa banyak t",
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            "excerpt": "Pemerintahan Jumlah senator di Senat Amerika Serikat sebanyak dua kali jumlah negara",
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            "excerpt": "ntahan Jumlah senator di Senat Amerika Serikat sebanyak dua kali jumlah negara bagian di Amerika Serikat. Ada 50 negara bagian. Berapa b",
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            "excerpt": "alad kentang untuk makan siang prasmanan. Resep menyatakan bahwa jumlah porsi salad kentang adalah dua kali banyaknya pon kentang. Jika ",
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            "excerpt": "alaman buku Psikologinya, dan halaman buku Matematikanya. Berapa jumlah seluruh halaman yang dibaca Emily?",
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            "excerpt": "an musim panas, setiap anak memperoleh lencana kecakapan. Berapa jumlah seluruh lencana kecakapan yang diperoleh regu pramuka Dave di pe",
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            "excerpt": "empat ditambah tiga; jumlah empat dan tiga",
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            "excerpt": "a ratus tujuh puluh satu ditambah enam ratus dua puluh sembilan; jumlah lima ratus tujuh puluh satu dan enam ratus dua puluh sembilan",
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            "end": 153,
            "excerpt": " hari Rabu, mil pada hari Kamis, dan mil pada hari Jumat. Berapa jumlah keseluruhan mil yang ditempuh Jackson?",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[2]/cnxml:exercise[24]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "kop di kompleks tersebut dan setiap ruang memiliki kursi. Berapa jumlah seluruh kursi di kompleks bioskop itu?",
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            "start": 106,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[4]/cnxml:exercise[29]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan",
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            "start": 0,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[9]/cnxml:exercise[25]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ko kelontong sebelum berjalan blok terakhir untuk pulang. Berapa jumlah seluruh blok yang ditempuh Clayton?",
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            "excerpt": "jumlah dan",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:table[2]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[1]/cnxml:entry[4]"
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            "excerpt": "Jumlah dari dan berarti menjumlahkan dengan yang kita tulis sebagai",
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            "excerpt": "jumlah dua belas dan empat belas",
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            "excerpt": "ⓐ 18 ditambah 11; jumlah delapan belas dan sebelas",
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            "excerpt": "ⓒ m ditambah n; jumlah m dan n",
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            "excerpt": "jumlah tiga dan lima",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[1]/cnxml:entry[3]"
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            "excerpt": "jumlah dan",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[1]/cnxml:entry[4]"
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            "excerpt": "x ditambah 8; jumlah x dan delapan",
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            "start": 14,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[7]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": " dijumlahkan. menyajikan beberapa contoh ekspresi aljabar dengan jumlah suku yang berbeda-beda. Perhatikan bahwa tanda operasi yang mend",
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            "excerpt": "ditambah jumlah dan bertambah sebesar lebih banyak daripada total dan ditambahka",
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            "excerpt": "jumlah antara dan",
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            "excerpt": "ⓐ jumlah dan ⓑ hasil kali dan",
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            "excerpt": "ⓐ lima kali jumlah dan ⓑ jumlah lima kali dan",
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            "excerpt": "ⓐ lima kali jumlah dan ⓑ jumlah lima kali dan",
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            "excerpt": "alian dan jumlah menunjukkan penjumlahan. Karena kita mengalikan jumlah tersebut dengan , jumlah dan harus diapit tanda kurung.",
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            "excerpt": "kan penjumlahan. Karena kita mengalikan jumlah tersebut dengan , jumlah dan harus diapit tanda kurung.",
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            "excerpt": "lima kali jumlah dan",
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            "excerpt": "una melihat unsur-unsur yang dijumlahkan. Di sini kita membentuk jumlah dari lima kali dan",
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            "excerpt": "Greg memiliki uang logam lima sen dan satu sen di sakunya. Jumlah uang logam satu sen adalah tujuh lebih sedikit daripada dua kali",
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            "excerpt": "Jika Ron memiliki dolar dan koin 25 sen AS, jumlah uangnya adalah dolar.",
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            "excerpt": "Jika Don memiliki dolar dan koin 25 sen AS, jumlah uangnya adalah dolar.",
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            "excerpt": "Dalam latihan berikut, gunakan model untuk menentukan jumlah. Buat gambar untuk menggambarkan model Anda.",
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            "excerpt": " dapat menukarkan uang kertas sebelum berangkat agar ia memiliki jumlah uang yang tepat.",
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            "excerpt": "Apakah jumlah tiga per delapan dan sama dengan tiga setengah?",
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            "excerpt": "tuk makan siang. Jika harga roti lapis , harga sebotol air , dan jumlah pajak penjualan , berapakah seluruh biaya makan siang Anda?",
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            "excerpt": "adi kata-kata. Seperti ditunjukkan dalam , pada cek kita menulis jumlah uang dengan angka sekaligus kata-kata.",
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            "excerpt": "”, tuliskan “0” dengan titik desimal di sebelah kanannya. Tandai jumlah tempat desimal yang diperlukan di sebelah kanan titik desimal be",
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            "excerpt": "aktor-faktornya—dalam hal ini dua ditambah tiga—untuk memperoleh jumlah tempat desimal pada hasil kali—dalam hal ini lima.",
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            "excerpt": "a dan sebuah tas tangan seharga Pajak penjualannya adalah Berapa jumlah yang dibelanjakan Amber?",
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            "excerpt": "da desimal. Banyaknya tempat desimal pada hasil kali sama dengan jumlah banyaknya tempat desimal pada faktor-faktornya. Gunakan nol seba",
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            "excerpt": "desimal dengan pangkat 10. Geser tanda desimal ke kanan sebanyak jumlah nol pada pangkat 10 tersebut. Tambahkan nol di akhir bilangan se",
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            "excerpt": "aus seharga dan buku seharga . Pajak penjualannya sebesar Berapa jumlah yang dibelanjakan Adam?",
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            "excerpt": "ngan utama dan untuk minuman. Ia memberikan tip sebesar . Berapa jumlah yang dibelanjakan Roberto?",
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            "excerpt": "an rekan-rekan kerjanya. Harga setiap cangkir kopi adalah Berapa jumlah yang ia bayarkan untuk semua kopi itu?",
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            "module_id": "m81295",
            "path": "modules/m81295/index.cnxml",
            "start": 113,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[91]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "anah. Minggu lalu ia naik kereta bawah tanah selama hari. Berapa jumlah yang ia belanjakan untuk ongkos kereta bawah tanah?",
            "excerpt_start": 83,
            "module_id": "m81295",
            "path": "modules/m81295/index.cnxml",
            "start": 148,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[92]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "lnya adalah Berapa yang harus dibayar setiap anak perempuan jika jumlah orang yang berbagi mud pie adalah",
            "excerpt_start": 160,
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            "start": 225,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[97]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "biaya piza sebesar . Berapa yang harus dibayar setiap orang jika jumlah orang yang berbagi piza adalah",
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            "start": 170,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[98]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "ngan bilangan desimal penting dalam kehidupan sehari-hari karena jumlah uang biasanya ditulis sebagai bilangan desimal. Jika suatu soal ",
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            "path": "modules/m81300/index.cnxml",
            "start": 91,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[1]"
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          {
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
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            "module_id": "m81300",
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            "start": 39,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[4]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 13,
            "excerpt": "Apakah jumlah dan sama dengan ?",
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            "start": 7,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[2]"
          },
          {
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            "end": 13,
            "excerpt": "Apakah jumlah dan sama dengan ?",
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            "path": "modules/m81300/index.cnxml",
            "start": 7,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[5]/cnxml:entry[2]"
          },
          {
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81300",
            "path": "modules/m81300/index.cnxml",
            "start": 39,
            "variant": "jumlah",
            "xml_id": "fs-id2419762",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:note[7]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "Ubah menjadi persamaan dan selesaikan: Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81300",
            "path": "modules/m81300/index.cnxml",
            "start": 39,
            "variant": "jumlah",
            "xml_id": "fs-id2171369",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:note[8]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "Jumlah dan adalah .",
            "excerpt_start": 0,
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            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id2940391",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[67]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81300",
            "path": "modules/m81300/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1360131",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[68]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "excerpt": " disebut rata-rata aritmetika. Nilai ini dihitung dengan membagi jumlah seluruh nilai dengan banyaknya nilai. Siswa ingin mengetahui rat",
            "excerpt_start": 23,
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            "path": "modules/m81302/index.cnxml",
            "start": 88,
            "variant": "jumlah",
            "xml_id": "fs-id2137944",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[1]"
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          {
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            "excerpt": "Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pemb",
            "excerpt_start": 0,
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            "path": "modules/m81302/index.cnxml",
            "start": 9,
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[2]/cnxml:list[1]/cnxml:item[2]"
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          {
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            "excerpt": "Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pembilang.",
            "excerpt_start": 0,
            "module_id": "m81302",
            "path": "modules/m81302/index.cnxml",
            "start": 55,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[2]/cnxml:list[1]/cnxml:item[2]"
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          {
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            "excerpt": "Tuliskan jumlah bilangan pada pembilang.",
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            "variant": "jumlah",
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            "excerpt": "Tuliskan rumus rata-rata hitung: Tuliskan jumlah bilangan pada pembilang. Hitung banyaknya bilangan dalam himpuna",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "Yen menghitung jumlah surel yang diterimanya minggu lalu. Jumlahnya adalah Carilah rat",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[6]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "terimanya minggu lalu. Jumlahnya adalah Carilah rata-rata hitung jumlah surel.",
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            "start": 100,
            "variant": "jumlah",
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            "excerpt": "ilangan asal. Dalam contoh berikutnya, semua bilangan menyatakan jumlah uang sehingga masuk akal untuk melaporkan rata-rata hitung dalam",
            "excerpt_start": 264,
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            "excerpt": "takan banyaknya ini dengan lalu tuliskan pada penyebut. Tuliskan jumlah seluruh bilangan pada pembilang. Sederhanakan pecahan.",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "excerpt": "Minggu lalu, Ray mencatat jumlah uang yang dibelanjakannya untuk makan siang pada setiap hari ker",
            "excerpt_start": 0,
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            "path": "modules/m81302/index.cnxml",
            "start": 26,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[7]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "a ke stasiun pengisian bahan bakar. Tanda terima itu menunjukkan jumlah berikut: Carilah rata-rata hitungnya.",
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            "start": 124,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:note[8]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 30,
            "excerpt": "Perhatikan bahwa ketika jumlah gadis adalah median merupakan tinggi badan ketiga, tetapi ketika",
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            "start": 24,
            "variant": "jumlah",
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          {
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            "excerpt": "gadis adalah median merupakan tinggi badan ketiga, tetapi ketika jumlah gadis adalah median merupakan rata-rata hitung dari tinggi badan",
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            "path": "modules/m81302/index.cnxml",
            "start": 96,
            "variant": "jumlah",
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          {
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            "excerpt": "Jumlah hari cuti sakit yang diambil para karyawan tahun lalu: Tentukan ",
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            "start": 0,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:note[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": " lima buah tersebut adalah pisang. Peluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "excerpt": "eluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
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            "start": 268,
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            "end": 36,
            "excerpt": "Peluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
            "excerpt_start": 0,
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            "path": "modules/m81302/index.cnxml",
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            "variant": "jumlah",
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            "excerpt": "eluang suatu kejadian adalah jumlah hasil yang diinginkan dibagi jumlah seluruh hasil yang mungkin.",
            "excerpt_start": 1,
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            "variant": "jumlah",
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            "excerpt": "Berapa jumlah hasil yang diinginkan?",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[3]/cnxml:entry[1]"
          },
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            "block_text_sha256": "02e52db3f0ccdbdf7bfa3380649f393c7ae597b906d3d5a8a3461589bab83f37",
            "end": 13,
            "excerpt": "Berapa jumlah hasil yang diinginkan?",
            "excerpt_start": 0,
            "module_id": "m81302",
            "path": "modules/m81302/index.cnxml",
            "start": 7,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[3]/cnxml:entry[1]"
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            "end": 13,
            "excerpt": "Berapa jumlah seluruh hasil yang mungkin?",
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            "excerpt": "ri sekumpulan bilangan. Tuliskan rumus rata-rata hitung Tentukan jumlah seluruh nilai dalam himpunan. Tuliskan jumlah tersebut pada pemb",
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            "excerpt": "lanjakan. Jumlahnya adalah , , , dan . Tentukan rata-rata hitung jumlah uang yang dibelanjakan.",
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            "excerpt": "Minggu lalu, Ray mencatat jumlah uang yang ia belanjakan untuk makan siang setiap hari kerja. Ia ",
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            "excerpt": "Sal mencatat jumlah uang yang ia belanjakan untuk bensin setiap minggu selama minggu",
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            "excerpt": "ggu selama minggu terakhir. Jumlahnya adalah dan Tentukan median jumlah tersebut.",
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            "excerpt": " perpangkatan sepuluh. Selama kedua tanda desimal digeser dengan jumlah tempat yang sama, rasionya akan tetap sama.",
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            "excerpt": "adalah tarif upah per jam. Tarif ini biasanya dinyatakan sebagai jumlah uang yang diperoleh untuk satu jam kerja. Misalnya, jika Anda di",
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            "excerpt": "Mulailah dengan laju perubahan antara jumlah dolar dan jumlah jam. Kemudian lakukan pembagian. Tuliskan sebag",
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            "excerpt": "atuan. Untuk menentukan harga satuan, bagilah harga total dengan jumlah barang. Harga satuan adalah laju perubahan satuan untuk satu bar",
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            "excerpt": "ta menyusun sebuah persegi dengan tiga ubin pada setiap sisinya, jumlah seluruh ubin adalah sembilan.",
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            "excerpt": "dengan galon AS bensin. Harga satu galon AS bensin adalah Berapa jumlah yang harus dibayar Jessie untuk seluruh bensin itu?",
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            "excerpt": "Jumlah saudara kandung sekelompok siswa: , , , , , , , , , , ,",
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            "excerpt": "Menurut data pemerintah, pada jumlah telepon seluler di India mencapai dari jumlah penduduk.",
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            "variant": "jumlah",
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            "excerpt": "a pemerintah, pada jumlah telepon seluler di India mencapai dari jumlah penduduk.",
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            "excerpt": " sebagai pecahan. ⓑ Gunakan jawaban Anda dari ⓐ untuk menentukan jumlah yang masuk ke tabungan dari gaji Ryan sebesar .",
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            "excerpt": "a satu porsi sereal menyediakan miligram (mg) kalium, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total kalium harian yang d",
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            "excerpt": "Satu porsi sereal beras mengandung mg natrium, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang ",
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            "excerpt": "ung mg natrium, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang dianjurkan?",
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            "excerpt": " mentraktir orang tuanya makan malam di restoran favorit mereka. Jumlah tagihannya adalah Ia ingin memberikan tip sebesar dari total tag",
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            "start": 71,
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            "excerpt": "ka Hiro dan rekan-rekan kerjanya makan siang di sebuah restoran, jumlah tagihannya adalah Mereka ingin memberikan tip sebesar dari total",
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            "excerpt": "Seporsi havermut mengandung gram serat, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang di",
            "excerpt_start": 0,
            "module_id": "m81313",
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            "start": 60,
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            "excerpt": "serat, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang dianjurkan? (Bulatkan jawaban ke persepu",
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            "module_id": "m81313",
            "path": "modules/m81313/index.cnxml",
            "start": 98,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[29]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "dan buah kering mengandung gram karbohidrat, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total karbohidrat harian y",
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            "module_id": "m81313",
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            "start": 89,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[30]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "idrat, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total karbohidrat harian yang dianjurkan?",
            "excerpt_start": 62,
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            "path": "modules/m81313/index.cnxml",
            "start": 127,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[30]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 129,
            "excerpt": "ji populer mengandung miligram (mg) natrium, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang ",
            "excerpt_start": 58,
            "module_id": "m81313",
            "path": "modules/m81313/index.cnxml",
            "start": 123,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[31]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "trium, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang dianjurkan? (Bulatkan jawaban ke milig",
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            "module_id": "m81313",
            "path": "modules/m81313/index.cnxml",
            "start": 161,
            "variant": "jumlah",
            "xml_id": "fs-id1166492351890",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[1]/cnxml:exercise[31]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ji populer mengandung miligram (mg) natrium, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang ",
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            "module_id": "m81313",
            "path": "modules/m81313/index.cnxml",
            "start": 113,
            "variant": "jumlah",
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            "excerpt": "trium, yang merupakan dari jumlah harian yang dianjurkan. Berapa jumlah total natrium harian yang dianjurkan?",
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            "path": "modules/m81313/index.cnxml",
            "start": 151,
            "variant": "jumlah",
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            "excerpt": "Alex seharusnya membawa separuh jumlah celana pendek dan tiga kali jumlah kemeja yang dibawanya.",
            "excerpt_start": 0,
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            "start": 32,
            "variant": "jumlah",
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            "excerpt": "ex seharusnya membawa separuh jumlah celana pendek dan tiga kali jumlah kemeja yang dibawanya.",
            "excerpt_start": 2,
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            "start": 67,
            "variant": "jumlah",
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            "excerpt": "mbahkan pada harga pembelian. Hasilnya adalah total biaya, yaitu jumlah yang dibayar pelanggan.",
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            "path": "modules/m81307/index.cnxml",
            "start": 282,
            "variant": "jumlah",
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            "excerpt": " berikut, tentukan ⓐ pajak penjualan dan ⓑ total biaya. Bulatkan jumlah uang ke sen terdekat jika diperlukan.",
            "excerpt_start": 13,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 78,
            "variant": "jumlah",
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            "excerpt": "ut, tentukan ⓐ besar diskon dan ⓑ harga setelah diskon. Bulatkan jumlah uang ke sen terdekat jika diperlukan.",
            "excerpt_start": 19,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 84,
            "variant": "jumlah",
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            "excerpt": "ihan berikut, tentukan ⓐ besar markup dan ⓑ harga jual. Bulatkan jumlah uang ke sen terdekat jika diperlukan.",
            "excerpt_start": 9,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 74,
            "variant": "jumlah",
            "xml_id": "eip-297",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:para[12]"
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            "excerpt": "akan bahwa harga yang dibayarnya untuk syal tersebut sama dengan jumlah yang dihematnya. Apakah Roxy benar? Jelaskan.",
            "excerpt_start": 92,
            "module_id": "m81307",
            "path": "modules/m81307/index.cnxml",
            "start": 157,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[3]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "n suku bunga ia akan membayar bunga sebesar selama tahun. Berapa jumlah yang dipinjamnya untuk membayar mobil tersebut?",
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            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 146,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Periksa jawaban Anda. Apakah $17,590 merupakan jumlah pinjaman yang masuk akal untuk membeli mobil?",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 47,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[6]/cnxml:entry[1]"
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            "excerpt": "Jumlah yang dipinjam adalah $17,590.",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[3]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[10]/cnxml:entry[2]"
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            "excerpt": "an membayar bunga sebesar dengan suku bunga selama tahun. Berapa jumlah yang dipinjamnya untuk membeli mobil baru tersebut?",
            "excerpt_start": 55,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 120,
            "variant": "jumlah",
            "xml_id": "fs-id1166498099782",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[5]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 94,
            "excerpt": "abungan Gloria memperoleh bunga sebesar dengan suku bunga Berapa jumlah yang telah disetorkannya ke rekening tersebut?",
            "excerpt_start": 23,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 88,
            "variant": "jumlah",
            "xml_id": "fs-id1166491410163",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[6]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Periksa jawaban Anda. Apakah bunga sebesar $15.75 merupakan jumlah yang masuk akal?",
            "excerpt_start": 0,
            "module_id": "m81308",
            "path": "modules/m81308/index.cnxml",
            "start": 60,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[4]/cnxml:entry[1]"
          },
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            "excerpt": "annya tepat. Sebagai contoh, dalam proporsi , kita membandingkan jumlah siswa dengan jumlah guru. Siswa ditempatkan pada pembilang dan g",
            "excerpt_start": 88,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 153,
            "variant": "jumlah",
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            "excerpt": " contoh, dalam proporsi , kita membandingkan jumlah siswa dengan jumlah guru. Siswa ditempatkan pada pembilang dan guru pada penyebut.",
            "excerpt_start": 108,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 173,
            "variant": "jumlah",
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            "excerpt": "Ya. Karena 3.5 berada di antara 3 dan 4, jumlah kalorinya seharusnya berada di antara 360 (3⋅120) dan 480 (4⋅120",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 41,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[2]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:table[1]/cnxml:tgroup[1]/cnxml:tbody[1]/cnxml:row[9]/cnxml:entry[1]"
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            "excerpt": "Ketika sebuah dadu dilempar, peluang sisi atasnya menunjukkan jumlah titik genap adalah",
            "excerpt_start": 0,
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            "path": "modules/m81311/index.cnxml",
            "start": 62,
            "variant": "jumlah",
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          {
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            "end": 60,
            "excerpt": "Satu batang granola mengandung gram serat, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang di",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 54,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "ung gram serat, yaitu dari jumlah harian yang dianjurkan. Berapa jumlah total serat harian yang dianjurkan?",
            "excerpt_start": 27,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 92,
            "variant": "jumlah",
            "xml_id": "fs-id1166490839309",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah kendaraan di sebuah jalan bebas hambatan turun dari menjadi Tent",
            "excerpt_start": 0,
            "module_id": "m81311",
            "path": "modules/m81311/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1166493761344",
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            "excerpt": "dibagi menjadi bagian-bagianⓒ Pembulatan biasa akan menghasilkan jumlah yang lebih kecil.",
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            "module_id": "m81315",
            "path": "modules/m81315/index.cnxml",
            "start": 87,
            "variant": "jumlah",
            "xml_id": "fs-id1356578",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[2]/cnxml:exercise[2]/cnxml:solution[1]/cnxml:para[1]"
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            "end": 23,
            "excerpt": "Perhatikan bahwa jumlah koefisien kedua dan ketiga merupakan bilangan cacah.",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 17,
            "variant": "jumlah",
            "xml_id": "fs-id1495597",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[3]/cnxml:example[4]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[1]"
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            "end": 15,
            "excerpt": "ⓐ Berapa jumlah uang dalam amplop pertama?",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 9,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[1]"
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            "end": 15,
            "excerpt": "ⓑ Berapa jumlah uang dalam amplop kedua?",
            "excerpt_start": 0,
            "module_id": "m81316",
            "path": "modules/m81316/index.cnxml",
            "start": 9,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[2]"
          },
          {
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            "end": 120,
            "excerpt": "sing memerlukan yaitu dolar dan keping uang logam 25 sen. Berapa jumlah uang yang mereka perlukan? Anda dapat menghitung bagian dolar se",
            "excerpt_start": 49,
            "module_id": "m81317",
            "path": "modules/m81317/index.cnxml",
            "start": 114,
            "variant": "jumlah",
            "xml_id": "fs-id1763920",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[1]"
          },
          {
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            "excerpt": "on film, kita dapat menunjukkan langkah-langkah untuk menentukan jumlah uang yang mereka perlukan sebagai berikut:",
            "excerpt_start": 38,
            "module_id": "m81317",
            "path": "modules/m81317/index.cnxml",
            "start": 103,
            "variant": "jumlah",
            "xml_id": "fs-id1517853",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[1]/cnxml:para[4]"
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          {
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            "excerpt": "lukan untuk memanggang kalkun dengan mengalikan untuk memperoleh jumlah menit, lalu kalikan hasilnya dengan untuk mengubah menit menjadi",
            "excerpt_start": 30,
            "module_id": "m81318",
            "path": "modules/m81318/index.cnxml",
            "start": 95,
            "variant": "jumlah",
            "xml_id": null,
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:list[1]/cnxml:item[1]"
          },
          {
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            "end": 85,
            "excerpt": "menggandakan larutan sebanyak galon AS kuart AS. Berapa galon AS jumlah seluruh larutan yang akan ia miliki?",
            "excerpt_start": 14,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 79,
            "variant": "jumlah",
            "xml_id": "fs-id1166491232728",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[2]/cnxml:note[4]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "end": 120,
            "excerpt": "alam ons cair AS, berapa volume air di dalam botol itu? Bulatkan jumlah ons ke persepuluhan terdekat.",
            "excerpt_start": 49,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 114,
            "variant": "jumlah",
            "xml_id": "fs-id1687286",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:example[1]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "block_text_sha256": "c938817899a81bc0b2277d7eb778a5e1152d36bd3bd429bb0e36b4155abfa384",
            "end": 142,
            "excerpt": "cukup dekat untuk keperluan sehari-hari. Pada , kita membulatkan jumlah ons cair AS ke persepuluhan terdekat.",
            "excerpt_start": 71,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 136,
            "variant": "jumlah",
            "xml_id": "fs-id1166483686028",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[5]/cnxml:para[4]"
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            "excerpt": "Pada suatu hari, Anya mencatat jumlah menit yang ia habiskan untuk mengemudi. Ia mencatat perjalanan s",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 31,
            "variant": "jumlah",
            "xml_id": "fs-id1452474",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[29]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "end": 65,
            "excerpt": "Multivitamin June mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 59,
            "variant": "jumlah",
            "xml_id": "fs-id1797481",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[41]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 61,
            "excerpt": "Satu batang mentega mengandung gram lemak. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 55,
            "variant": "jumlah",
            "xml_id": "fs-id1310403",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[43]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Satu porsi es krim gourmet mengandung gram lemak. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 62,
            "variant": "jumlah",
            "xml_id": "fs-id1725244",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[7]/cnxml:section[1]/cnxml:exercise[44]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 67,
            "excerpt": "Satu cangkir yogurt mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 61,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[5]/cnxml:exercise[17]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 63,
            "excerpt": "Satu cangkir yogurt mengandung gram protein. Konversikan jumlah tersebut ke miligram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 57,
            "variant": "jumlah",
            "xml_id": "fs-id1166497163441",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[8]/cnxml:section[5]/cnxml:exercise[18]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Satu cangkir susu mengandung miligram kalsium. Konversikan jumlah tersebut ke gram.",
            "excerpt_start": 0,
            "module_id": "m81330",
            "path": "modules/m81330/index.cnxml",
            "start": 59,
            "variant": "jumlah",
            "xml_id": "fs-id1166491221129",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[9]/cnxml:exercise[26]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan adalah",
            "excerpt_start": 0,
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            "path": "modules/m81320/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1949381",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[43]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81320",
            "path": "modules/m81320/index.cnxml",
            "start": 0,
            "variant": "jumlah",
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            "excerpt": "Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81320",
            "path": "modules/m81320/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1376729",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[52]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Jumlah dan adalah",
            "excerpt_start": 0,
            "module_id": "m81320",
            "path": "modules/m81320/index.cnxml",
            "start": 0,
            "variant": "jumlah",
            "xml_id": "fs-id1502680",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[53]/cnxml:problem[1]/cnxml:para[1]"
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            "end": 28,
            "excerpt": "Misalkan p menyatakan jumlah halaman yang dibaca dalam buku Psikologi. 41 + p = 54. Jeff memb",
            "excerpt_start": 0,
            "module_id": "m81320",
            "path": "modules/m81320/index.cnxml",
            "start": 22,
            "variant": "jumlah",
            "xml_id": "fs-id1166493276412",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[1]/cnxml:exercise[55]/cnxml:solution[1]/cnxml:para[1]"
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          {
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            "excerpt": " ingin membagi mereka menjadi kelompok yang sama besar. Tentukan jumlah anak dalam setiap kelompok, dengan menyelesaikan persamaan",
            "excerpt_start": 61,
            "module_id": "m81321",
            "path": "modules/m81321/index.cnxml",
            "start": 126,
            "variant": "jumlah",
            "xml_id": "fs-id1166475094218",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "excerpt": "lah Tiket pelajar dijual seharga dan tiket dewasa dijual seharga Jumlah tiket dewasa yang terjual adalah lebih sedikit daripada kali jum",
            "excerpt_start": 72,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 137,
            "variant": "jumlah",
            "xml_id": "fs-id1166492771602",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
          },
          {
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            "excerpt": "lah tiket dewasa yang terjual adalah lebih sedikit daripada kali jumlah tiket pelajar. Tentukan jumlah tiket pelajar yang terjual, denga",
            "excerpt_start": 140,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 205,
            "variant": "jumlah",
            "xml_id": "fs-id1166492771602",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "dalah lebih sedikit daripada kali jumlah tiket pelajar. Tentukan jumlah tiket pelajar yang terjual, dengan menyelesaikan persamaan",
            "excerpt_start": 171,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 236,
            "variant": "jumlah",
            "xml_id": "fs-id1166492771602",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[2]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Rhonda memiliki dalam bentuk koin lima sen dan koin sepuluh sen. Jumlah koin sepuluh sen satu lebih sedikit daripada dua kali jumlah koi",
            "excerpt_start": 5,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 70,
            "variant": "jumlah",
            "xml_id": "fs-id1333710",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[3]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "en. Jumlah koin sepuluh sen satu lebih sedikit daripada dua kali jumlah koin lima sen. Tentukan jumlah koin lima sen, dengan menyelesaik",
            "excerpt_start": 66,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 131,
            "variant": "jumlah",
            "xml_id": "fs-id1333710",
            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[3]/cnxml:problem[1]/cnxml:para[1]"
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          {
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            "excerpt": "u lebih sedikit daripada dua kali jumlah koin lima sen. Tentukan jumlah koin lima sen, dengan menyelesaikan persamaan",
            "excerpt_start": 97,
            "module_id": "m81322",
            "path": "modules/m81322/index.cnxml",
            "start": 162,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:section[2]/cnxml:exercise[3]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "Koin Taylor memiliki dalam bentuk koin sepuluh sen dan satu sen. Jumlah koin satu sen adalah lebih banyak daripada jumlah koin sepuluh s",
            "excerpt_start": 0,
            "module_id": "m81323",
            "path": "modules/m81323/index.cnxml",
            "start": 65,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": " dan satu sen. Jumlah koin satu sen adalah lebih banyak daripada jumlah koin sepuluh sen. Selesaikan persamaan untuk yaitu jumlah koin s",
            "excerpt_start": 50,
            "module_id": "m81323",
            "path": "modules/m81323/index.cnxml",
            "start": 115,
            "variant": "jumlah",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[4]/cnxml:section[2]/cnxml:exercise[1]/cnxml:problem[1]/cnxml:para[1]"
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            "excerpt": "ripada jumlah koin sepuluh sen. Selesaikan persamaan untuk yaitu jumlah koin sepuluh sen.",
            "excerpt_start": 108,
            "module_id": "m81323",
            "path": "modules/m81323/index.cnxml",
            "start": 173,
            "variant": "jumlah",
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            "excerpt": "ngko Travis membeli prangko senilai berupa prangko dan prangko . Jumlah prangko adalah lebih sedikit daripada jumlah prangko . Selesaika",
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            "excerpt": "pada jumlah prangko . Selesaikan persamaan untuk guna menentukan jumlah prangko yang dibeli Travis.",
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            "excerpt": "an pusat warga lansia adalah pria. Jika terdapat pria, berapakah jumlah seluruh orang di ruang makan tersebut?",
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            "excerpt": " sebuah piknik tampak masuk akal. Soal tersebut menyatakan bahwa jumlah apel tiga lebih banyak daripada dua kali jumlah pisang. Jika ter",
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            "excerpt": " lainnya? Apakah tiga belas 5 lebih besar daripada 8? Ya. Apakah jumlah kedua bilangan tersebut 21?",
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            "excerpt": "Apakah −9 empat lebih kecil daripada −5? Apakah jumlah keduanya −14?",
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            "excerpt": "Apakah 4 sepuluh lebih besar daripada dua kali −3? Apakah jumlah keduanya 1?",
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            "start": 58,
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            "excerpt": "bilangan delapan lebih besar daripada dua kali bilangan lainnya. Jumlah keduanya adalah negatif empat. Tentukan kedua bilangan tersebut.",
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            "excerpt": "u bilangan tiga lebih besar daripada tiga kali bilangan lainnya. Jumlah keduanya adalah negatif lima. Tentukan kedua bilangan tersebut.",
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan kedua bilangan ters",
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan kedua bilangan ters",
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            "excerpt": "Jumlah dua bilangan bulat berurutan adalah Tentukan kedua bilangan ters",
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            "start": 0,
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            "excerpt": "las empat adalah perempuan. Jika terdapat anak perempuan, berapa jumlah seluruh anak di kelas tersebut?",
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            "excerpt": " suara sekolah adalah perempuan. Jika terdapat perempuan, berapa jumlah seluruh anggota paduan suara?",
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            "excerpt": "Terdapat anak perempuan di sebuah klub sekolah. Jumlah anak perempuan adalah lebih banyak daripada dua kali jumlah anak",
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            "excerpt": "lah. Jumlah anak perempuan adalah lebih banyak daripada dua kali jumlah anak laki-laki. Tentukan jumlah anak laki-laki di klub tersebut.",
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            "excerpt": "h lebih banyak daripada dua kali jumlah anak laki-laki. Tentukan jumlah anak laki-laki di klub tersebut.",
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            "excerpt": "Terdapat anggota Pramuka Siaga di Pasukan Jumlah anggota pramuka adalah lebih banyak daripada lima kali jumlah pe",
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            "excerpt": "an Jumlah anggota pramuka adalah lebih banyak daripada lima kali jumlah pembina dewasa. Tentukan jumlah pembina dewasa.",
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            "excerpt": " lebih banyak daripada lima kali jumlah pembina dewasa. Tentukan jumlah pembina dewasa.",
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            "excerpt": " sedang mengeluarkan piring dan gelas dari mesin pencuci piring. Jumlah piring lebih sedikit daripada jumlah gelas. Jika terdapat piring",
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            "excerpt": " dari mesin pencuci piring. Jumlah piring lebih sedikit daripada jumlah gelas. Jika terdapat piring, berapa jumlah gelas?",
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            "excerpt": "ebih sedikit daripada jumlah gelas. Jika terdapat piring, berapa jumlah gelas?",
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            "excerpt": "Jumlah anak anjing di etalase toko hewan peliharaan adalah dua belas le",
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            "excerpt": "se toko hewan peliharaan adalah dua belas lebih sedikit daripada jumlah anjing di toko tersebut. Jika terdapat anak anjing di etalase, b",
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            "excerpt": "g di toko tersebut. Jika terdapat anak anjing di etalase, berapa jumlah anjing di toko tersebut?",
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            "excerpt": "Jumlah suatu bilangan dan delapan adalah Tentukan bilangan tersebut.",
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            "excerpt": "Jumlah dua kali suatu bilangan dan enam adalah Tentukan bilangan terseb",
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            "excerpt": "Tiga kali jumlah suatu bilangan dan sembilan adalah Tentukan bilangan tersebut.",
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            "excerpt": "Enam kali jumlah suatu bilangan dan delapan adalah Tentukan bilangan tersebut.",
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            "excerpt": "h tabel untuk menata informasi. Beri judul kolom-kolomnya jenis, jumlah, nilai, dan nilai total. Cantumkan jenis-jenis koin. Tuliskan ni",
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            "excerpt": "Langkah 3. Nyatakan: Nyatakan jumlah koin 25 sen dan koin 1 sen dengan menggunakan variabel.",
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            "excerpt": "iki koin 1 sen dan koin 5 sen dengan nilai total di celengannya. Jumlah koin 5 sen dua lebih banyak daripada sepuluh kali jumlah koin 1 ",
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            "excerpt": " memiliki koin 10 sen dan koin 5 sen senilai di stoples koinnya. Jumlah koin 10 sen yang dimiliki Elaine tujuh lebih sedikit daripada ti",
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            "excerpt": "Tentukan jumlah prangko 49 sen yang dibelinya dengan mengevaluasi bentuk berikut",
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            "excerpt": "at mengirim kartu ucapan terima kasih atas hadiah pernikahannya. Jumlah prangko delapan lebih banyak daripada dua kali jumlah prangko . ",
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            "excerpt": "ikahannya. Jumlah prangko delapan lebih banyak daripada dua kali jumlah prangko . Berapa prangko dan prangko yang dibeli Eric?",
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            "module_id": "m81325",
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            "start": 155,
            "variant": "jumlah",
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            "excerpt": "Kailee membayar untuk prangko. Jumlah prangko empat lebih sedikit daripada tiga kali jumlah prangko . ",
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            "excerpt": "k prangko. Jumlah prangko empat lebih sedikit daripada tiga kali jumlah prangko . Berapa prangko dan prangko yang dibeli Kailee?",
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            "start": 85,
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            "excerpt": " yang sama, nilai total dapat ditentukan sebagai berikut: dengan jumlah adalah banyaknya koin, nilai adalah nilai setiap koin, dan nilai",
            "excerpt_start": 74,
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            "excerpt": "akan besaran tersebut.Gunakan ekspresi variabel untuk menyatakan jumlah setiap jenis koin dan tuliskan ekspresi tersebut dalam tabel. Ka",
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            "start": 309,
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            "excerpt": "p jenis koin dan tuliskan ekspresi tersebut dalam tabel. Kalikan jumlah koin dengan nilainya untuk memperoleh nilai total setiap jenis k",
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            "excerpt": "Jaime memiliki dalam bentuk koin 10 sen dan koin 5 sen. Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 5 sen. Bera",
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            "excerpt": " dan koin 5 sen. Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 5 sen. Berapa banyak masing-masing jenis koin yang ia milik",
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            "start": 104,
            "variant": "jumlah",
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            "excerpt": "Lee memiliki dalam bentuk koin 10 sen dan koin 5 sen. Jumlah koin 5 sen adalah lebih banyak daripada jumlah koin 10 sen. Bera",
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            "path": "modules/m81325/index.cnxml",
            "start": 54,
            "variant": "jumlah",
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            "excerpt": "n dan koin 5 sen. Jumlah koin 5 sen adalah lebih banyak daripada jumlah koin 10 sen. Berapa banyak masing-masing jenis koin yang ia mili",
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            "module_id": "m81325",
            "path": "modules/m81325/index.cnxml",
            "start": 101,
            "variant": "jumlah",
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            "excerpt": " memiliki koleksi koin 10 sen dan koin 25 sen dengan nilai total Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 25 sen. Ber",
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            "module_id": "m81325",
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            "excerpt": "ngan nilai total Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 25 sen. Berapa banyak masing-masing jenis koin yang ia mili",
            "excerpt_start": 51,
            "module_id": "m81325",
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            "start": 116,
            "variant": "jumlah",
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            "excerpt": " memiliki koleksi koin 10 sen dan koin 25 sen dengan nilai total Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 25 sen. Ber",
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            "module_id": "m81325",
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            "excerpt": "ngan nilai total Jumlah koin 10 sen adalah lebih banyak daripada jumlah koin 25 sen. Berapa banyak masing-masing jenis koin yang ia mili",
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            "excerpt": "n memiliki dalam bentuk koin 5 sen dan koin 10 sen di dompetnya. Jumlah koin 5 sen adalah lebih sedikit daripada tiga kali jumlah koin 1",
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            "excerpt": "etnya. Jumlah koin 5 sen adalah lebih sedikit daripada tiga kali jumlah koin 10 sen. Tentukan jumlah setiap jenis koin.",
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            "excerpt": "ah lebih sedikit daripada tiga kali jumlah koin 10 sen. Tentukan jumlah setiap jenis koin.",
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            "start": 158,
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            "excerpt": "lio memiliki dalam bentuk koin 5 sen dan koin 10 sen di sakunya. Jumlah koin 10 sen adalah lebih sedikit daripada dua kali jumlah koin 5",
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            "excerpt": "alah lebih sedikit daripada dua kali jumlah koin 5 sen. Tentukan jumlah setiap jenis koin.",
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            "excerpt": "5 sen. Jumlah koin 10 sen adalah lebih banyak daripada tiga kali jumlah koin 25 sen. Berapa banyak koin 10 sen dan koin 25 sen yang dimi",
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            "excerpt": "Dompet Joe berisi lembar uang dan dengan nilai total Jumlah lembar uang adalah lebih banyak daripada jumlah lembar uang . Be",
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            "excerpt": "i dalam sebuah laci uang terdapat dalam bentuk lembar uang dan . Jumlah lembar uang adalah dua kali jumlah lembar uang . Berapa banyak l",
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            "excerpt": "Pada suatu malam, sebuah pertunjukan memperoleh pemasukan . Jumlah tiket dewasa seharga $8 adalah lebih sedikit daripada dua kali j",
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            "excerpt": "h tiket dewasa seharga $8 adalah lebih sedikit daripada dua kali jumlah tiket anak seharga . Berapa banyak tiket dari masing-masing jeni",
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            "excerpt": "Jika jumlah tiket anak seharga adalah tujuh belas lebih sedikit daripada tig",
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            "excerpt": "anak seharga adalah tujuh belas lebih sedikit daripada tiga kali jumlah tiket dewasa seharga dan teater memperoleh pemasukan berapa bany",
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            "excerpt": "Pada suatu Senin malam, bioskop memperoleh pemasukan . Jumlah tiket anak seharga adalah sepuluh lebih banyak daripada dua kali",
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            "excerpt": "tiket anak seharga adalah sepuluh lebih banyak daripada dua kali jumlah tiket dewasa seharga . Berapa banyak tiket dari masing-masing je",
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            "excerpt": "ada suatu Sabtu, sebuah pertandingan bola memperoleh pemasukan . Jumlah tiket dewasa seharga adalah lebih banyak daripada dua kali jumla",
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            "excerpt": "umlah tiket dewasa seharga adalah lebih banyak daripada dua kali jumlah tiket anak seharga . Berapa banyak tiket dari masing-masing jeni",
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            "excerpt": "serta kartu pos seharga untuk tagihan kantornya. Ia menghabiskan Jumlah prangko adalah lebih banyak daripada dua kali jumlah kartu pos. ",
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            "excerpt": "an di kantor pos. Ia membeli prangko seharga sebanyak empat kali jumlah prangko seharga . Berapa banyak prangko dari masing-masing harga",
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            "excerpt": "Hilda memiliki dalam bentuk lembar saham senilai dan . Jumlah lembar saham senilai adalah lebih banyak daripada dua kali jumla",
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            "excerpt": " Setiap anak perempuan membayar dan setiap orang dewasa membayar Jumlah uang yang terkumpul untuk perkemahan adalah Jika jumlah anak per",
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            "excerpt": "membayar Jumlah uang yang terkumpul untuk perkemahan adalah Jika jumlah anak perempuan adalah tiga kali jumlah orang dewasa, berapa bany",
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            "excerpt": "uk perkemahan adalah Jika jumlah anak perempuan adalah tiga kali jumlah orang dewasa, berapa banyak anak perempuan dan orang dewasa yang",
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            "excerpt": "embayar biaya pendaftaran sebagian tahun sebesar . Ia tahu bahwa jumlah anak laki-laki yang membayar untuk setahun penuh adalah sepuluh ",
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            "excerpt": "embayar untuk setahun penuh adalah sepuluh lebih banyak daripada jumlah yang membayar untuk sebagian tahun. Jika terkumpul dari seluruh ",
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            "excerpt": " untuk menyelesaikan soal tentang koin, satu kolom diberi label “jumlah” dan kolom lainnya diberi label “nilai”. Apa perbedaan antara ju",
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            "excerpt": "ah” dan kolom lainnya diberi label “nilai”. Apa perbedaan antara jumlah dan nilai?",
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            "excerpt": "Jika jumlah besar dua sudut adalah kedua sudut tersebut disebut sudut suplem",
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            "excerpt": "Ketiga sudut sebuah segitiga memiliki hubungan khusus. Jumlah besar ketiganya adalah",
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            "excerpt": "Untuk setiap jumlah besar sudut-sudutnya adalah",
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            "excerpt": "ku. Teorema ini menyatakan bahwa pada setiap segitiga siku-siku, jumlah kuadrat panjang kedua sisi siku-sikunya sama dengan kuadrat panj",
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            "excerpt": "Sudut Pelurus dan Sudut PenyikuJika jumlah besar dua sudut adalah 180°, kedua sudut tersebut saling berpelu",
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            "excerpt": "sebut saling berpelurus. Jika dan saling berpelurus, maka . Jika jumlah besar dua sudut adalah 90°, kedua sudut tersebut saling berpenyi",
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            "excerpt": "Jumlah Besar Sudut-Sudut Segitiga Untuk setiap jumlah besar ketiga sudutnya adalah 180°",
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            "excerpt": "Keliling, sebuah persegi panjang adalah jumlah dua kali panjang dan dua kali lebar. Lihat .",
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            "excerpt": "Untuk setiap segitiga jumlah besar sudut-sudutnya adalah",
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            "excerpt": "pat membantu kita memahami rumus tersebut. Luas trapesium adalah jumlah luas kedua segitiga. Lihat .",
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            "excerpt": "si-sisi yang berhadapan sama. Keliling persegi panjang, , adalah jumlah dua kali panjang dan dua kali lebar. Luas persegi panjang, , ada",
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            "excerpt": "Sifat-sifat Segitiga Untuk setiap segitiga , jumlah besar ketiga sudutnya adalah 180°. Keliling segitiga adalah juml",
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            "excerpt": "mlah besar ketiga sudutnya adalah 180°. Keliling segitiga adalah jumlah panjang semua sisinya. Luas segitiga adalah satu per dua dikali ",
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            "excerpt": "jumlah air di dalam akuarium",
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            "excerpt": "agi menjadi dua persegi panjang. Luas daerah yang diarsir adalah jumlah luas kedua persegi panjang tersebut.",
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            "excerpt": "r tetapi panjangnya tidak diberi label. Sisi kanan bangun adalah jumlah panjang persegi panjang merah dan panjang persegi panjang biru. ",
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            "excerpt": "i sebuah segitiga dan sebuah persegi panjang. Luas bangun adalah jumlah luas segitiga dan persegi panjang tersebut.",
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            "excerpt": "atuan, lebar satuan, dan tinggi satuan. Dapatkah Anda menentukan jumlah seluruh satuan kubiknya? Mari kita amati lapis demi lapis.",
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            "excerpt": "di sebuah konser adalah anak-anak. Jika terdapat anak, berapakah jumlah seluruh orang di konser tersebut?",
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            "excerpt": "Terdapat pemain saksofon dalam sebuah grup musik. Jumlah pemain saksofon adalah satu kurangnya dari dua kali jumlah pemai",
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            "excerpt": "Menurut www.cleanair.org, jumlah sampah yang dihasilkan di AS dalam satu tahun rata-rata mencapai",
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            "excerpt": "p tempat dalam suatu bilangan memiliki nilai yang berbeda. Tabel nilai tempat berguna untuk merangkum informasi ini. Nilai tempat dibagi menja",
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            "excerpt": "rbeda. Tabel nilai tempat berguna untuk merangkum informasi ini. Nilai tempat dibagi menjadi kelompok yang masing-masing terdiri atas tiga tem",
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            "excerpt": "i batang puluhan. Demikian pula, nilai setiap tempat dalam tabel nilai tempat adalah sepuluh kali nilai tempat di sebelah kanannya.",
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            "excerpt": " nama periodenya. Mulailah dari digit paling kiri, yang memiliki nilai tempat terbesar. Koma memisahkan periode; karena itu, setiap koma pada ",
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            "excerpt": "latkan ke tempat puluh ribuan, hasilnya adalah , dan seterusnya. Nilai tempat tujuan pembulatan bergantung pada cara bilangan itu akan digunak",
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            "excerpt": "ngan ke nilai tempat tertentu, perhatikan digit di sebelah kanan nilai tempat tersebut. Jika digit itu kurang dari bulatkan ke bawah. Jika dig",
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            "excerpt": "emukan nilai tempat yang ditentukan. Semua digit di sebelah kiri nilai tempat itu tidak berubah, kecuali jika digit pada nilai tempat tersebut",
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            "excerpt": "lah kiri nilai tempat itu tidak berubah, kecuali jika digit pada nilai tempat tersebut adalah 9; dalam hal itu digitnya mungkin berubah. (Liha",
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            "excerpt": "Gunakan nilai tempat untuk menulis bilangan cacah. Identifikasi kata-kata yang menunj",
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            "excerpt": "disebutkan.) Buat tiga tempat kosong untuk menunjukkan banyaknya nilai tempat yang diperlukan dalam setiap periode. Sebutkan bilangan pada set",
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            "excerpt": "n pada setiap periode, lalu tempatkan digit-digitnya pada posisi nilai tempat yang benar.",
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            "excerpt": "dengan digit puluhan, dan seterusnya. Jika hasil kali pada suatu nilai tempat lebih dari simpan ke nilai tempat berikutnya. Tulis hasil kali p",
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            "excerpt": "an menggunakan blok , lalu tunjukkan nilainya menggunakan notasi nilai tempat.",
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            "excerpt": "an negatif dapat digambarkan pada garis bilangan. Ingatlah bahwa garis bilangan yang dibuat dalam Menjumlahkan Bilangan Cacah dimulai dari dan m",
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            "excerpt": "r ke kanan, seperti ditunjukkan dalam . Semua bilangan asli pada garis bilangan bernilai positif. Kita dapat menuliskan tanda plus, di depan bil",
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            "excerpt": "Sekarang kita perlu memperpanjang garis bilangan agar mencakup bilangan negatif. Kita memberi beberapa tanda satu",
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            "excerpt": "Pada garis bilangan, bilangan positif berada di sebelah kanan nol. Bilangan negatif ",
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            "excerpt": "Anak panah pada kedua ujung garis menunjukkan bahwa garis bilangan memanjang tanpa batas ke kedua arah. Tidak ada bilangan positif ",
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            "excerpt": "Kegiatan Matematika dengan Alat Peraga “Garis Bilangan—bagian 2” akan membantu Anda memahami bilangan bulat dengan lebi",
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            "excerpt": "Gambarkan bilangan-bilangan berikut pada garis bilangan: ⓐ ⓑ ⓒ",
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            "excerpt": "Gambarkan bilangan-bilangan berikut pada garis bilangan. ⓐ ⓑ ⓒ",
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            "excerpt": "Gambarkan bilangan-bilangan berikut pada garis bilangan. ⓐ ⓑ ⓒ",
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            "excerpt": "Kita dapat menggunakan garis bilangan untuk membandingkan dan mengurutkan bilangan positif dan negatif",
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            "excerpt": "an notasi (dibaca kurang dari ) jika berada di sebelah kiri pada garis bilangan. Kita menulis (dibaca lebih dari ) jika berada di sebelah kanan ",
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            "module_id": "m81275",
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            "variant": "garis bilangan",
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            "excerpt": "a menulis (dibaca lebih dari ) jika berada di sebelah kanan pada garis bilangan. Hal ini ditunjukkan untuk bilangan dan dalam .",
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            "excerpt": "Bilangan berada di sebelah kiri pada garis bilangan. Jadi, kurang dari dan lebih dari",
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            "excerpt": "berada di sebelah kiri pada garis bilangan, sehingga",
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            "excerpt": "berada di sebelah kanan pada garis bilangan, sehingga",
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            "module_id": "m81275",
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            "variant": "garis bilangan",
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            "excerpt": "Pada garis bilangan, bilangan negatif merupakan cerminan bilangan positif dengan nol",
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            "excerpt": "Menempatkan Bilangan Positif dan Negatif pada Garis Bilangan",
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            "excerpt": "n, lalu tempatkan dan beri label titik-titik yang diberikan pada garis bilangan tersebut.",
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            "variant": "garis bilangan",
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            "excerpt": "Mengurutkan Bilangan Positif dan Negatif pada Garis Bilangan",
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            "excerpt": "Setelah menempatkan bilangan positif dan negatif pada garis bilangan, kini kita akan membahas operasi aritmetika dengan bilangan bula",
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            "module_id": "m81276",
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            "excerpt": "bih sedikit. Guru matematika memakai berbagai pendekatan—seperti garis bilangan, perbankan, dan suhu—untuk membuat konsep-konsep ini terasa nyat",
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            "excerpt": "Contoh jawaban: Pada garis bilangan, jarak antara 9 dan −6 adalah 15 satuan.",
            "excerpt_start": 0,
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            "excerpt": "Menempatkan Bilangan Positif dan Negatif pada Garis Bilangan",
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            "start": 46,
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            "excerpt": "n berikut, tempatkan dan beri label bilangan bulat tersebut pada garis bilangan.",
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            "variant": "garis bilangan",
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            "excerpt": "Tempatkan dan beri label dan pada garis bilangan.",
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            "excerpt": "Menempatkan Pecahan dan Pecahan Campuran pada Garis Bilangan",
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            "excerpt": "Sekarang kita siap menempatkan pecahan pada garis bilangan. Hal ini akan membantu kita memvisualisasikan pecahan dan memaha",
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            "excerpt": "Mari tempatkan dan pada garis bilangan.",
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            "excerpt": "ah dan Kedua penyebutnya adalah sehingga kita perlu membagi ruas garis bilangan antara dan menjadi lima bagian sama panjang. Caranya adalah meng",
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            "excerpt": "ng. Caranya adalah menggambar empat tanda dengan jarak sama pada garis bilangan, lalu memberi label dan",
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            "excerpt": "tu satuan utuh, terletak di antara dan Kita perlu membagi bagian garis bilangan antara dan menjadi tiga bagian sama panjang (pertigaan), lalu me",
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            "start": 316,
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            "excerpt": "Berikut adalah garis bilangan dengan semua titik yang telah ditempatkan.",
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            "excerpt": "Tempatkan dan beri label bilangan-bilangan berikut pada garis bilangan: dan",
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            "excerpt": "mpatkan pecahan campuran Pecahan ini terletak di antara dan pada garis bilangan. Bagi garis bilangan antara dan menjadi lima bagian sama panjang",
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            "excerpt": "ran Pecahan ini terletak di antara dan pada garis bilangan. Bagi garis bilangan antara dan menjadi lima bagian sama panjang, lalu tempatkan sepe",
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            "xpath": "/cnxml:document[1]/cnxml:content[1]/cnxml:section[6]/cnxml:example[1]/cnxml:exercise[1]/cnxml:solution[1]/cnxml:para[2]"
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            "excerpt": "Garis bilangan berikut menampilkan semua bilangan yang telah ditempatkan.",
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            "excerpt": "Tempatkan dan beri label bilangan-bilangan berikut pada garis bilangan:",
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            "excerpt": "Tempatkan dan beri label bilangan-bilangan berikut pada garis bilangan:",
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            "excerpt": "bilangan. Lawan adalah bilangan yang berjarak sama dari nol pada garis bilangan, tetapi berada di sisi nol yang berlawanan. Sebagai contoh, kita",
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            "excerpt": "miliki lawan. Lawan dari adalah Keduanya berjarak sama dari pada garis bilangan, tetapi berada di sisi yang berlawanan dari",
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            "excerpt": "lawan pecahan positif, kita akan lebih mudah menempatkannya pada garis bilangan. Untuk menempatkan pada garis bilangan, pertama-tama tentukan le",
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            "excerpt": "mudah menempatkannya pada garis bilangan. Untuk menempatkan pada garis bilangan, pertama-tama tentukan letak . Bilangan ini merupakan pecahan ti",
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            "excerpt": "i pecahan campuran dan melihat bahwa letaknya di antara dan pada garis bilangan. Oleh karena itu, lawannya, terletak di antara dan pada garis bi",
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            "excerpt": "bilangan. Oleh karena itu, lawannya, terletak di antara dan pada garis bilangan.",
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            "excerpt": "Tempatkan dan beri label bilangan-bilangan berikut pada garis bilangan: dan",
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            "excerpt": "Tempatkan dan beri label setiap pecahan berikut pada garis bilangan:",
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            "excerpt": "Tempatkan dan beri label setiap pecahan berikut pada garis bilangan:",
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            "excerpt": "kan pecahan. Ingatlah bahwa berarti berada di sebelah kanan pada garis bilangan. Ketika bergerak dari kiri ke kanan pada garis bilangan, nilainy",
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            "excerpt": "nan pada garis bilangan. Ketika bergerak dari kiri ke kanan pada garis bilangan, nilainya bertambah.",
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            "excerpt": "Dalam latihan berikut, tempatkan bilangan-bilangan tersebut pada garis bilangan.",
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            "excerpt": "ipatan sepuluh sen terdekat; apakah nilainya lebih dekat ke atau Garis bilangan pada dapat membantu kita menjawab pertanyaan tersebut.",
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            "excerpt": "lah bahwa bilangan yang lebih besar terletak lebih ke kanan pada garis bilangan dan setiap bilangan positif lebih besar daripada setiap bilangan",
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      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Avoid angka when the source specifically contrasts a digit and its place.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0006",
      "source_record_id": "OSPA-TERM-0006",
      "source_term": "digit",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Established Indonesian school-arithmetic register",
      "id": "urn:uuid:4ea9e03e-85a8-5c98-a21f-8a2cfacac728",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "meminjam / peminjaman",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Describe the place-value exchange explicitly before introducing the procedural term.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81245+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0021",
      "source_record_id": "OSPA-TERM-0021",
      "source_term": "borrow / borrowing in column subtraction",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "concept_id": "urn:uuid:70932c39-6de9-5149-923f-c4920eeadd99",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:592491eb-05b4-5bff-9da3-1147889fbb0a",
      "locale": "id-ID",
      "localized_definition": "Menggunakan sifat komutatif, asosiatif, distributif, identitas, invers, dan nol.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Sifat-Sifat Aritmetika",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "concept_id": "urn:uuid:d6a235cb-1263-5926-b961-c8039ff8fa64",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:5a5dd598-98c2-561e-962c-055f8ed22814",
      "locale": "id-ID",
      "localized_definition": "Menggunakan ukuran panjang dan persegi, keliling, serta luas pada bangun datar umum.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Pengukuran Bidang, Keliling, dan Luas",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "concept_id": "urn:uuid:82dc7517-bd99-5918-827d-bd06ad7e21c5",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:66e6db0d-51f6-5000-b462-d932efa106a5",
      "locale": "id-ID",
      "localized_definition": "Menyelesaikan persamaan linear dengan penyederhanaan, koefisien nonbilangan bulat, dan variabel pada kedua ruas.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Persamaan Linear Umum",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Established Indonesian school-algebra usage and internal module consistency",
      "id": "urn:uuid:7050e105-6858-577b-ba5a-94ca2ec72623",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "sifat identitas / sifat invers / sifat-sifat nol",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Use identitas penjumlahan/perkalian; explain additive inverse as lawan and multiplicative inverse as kebalikan; use tidak terdefinisi consistently.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81318+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0033",
      "source_record_id": "OSPA-TERM-0033",
      "source_term": "identity / inverse / zero properties",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "concept_id": "urn:uuid:e432204e-2177-5e1b-9b07-5e0f52d6e86c",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:70914272-f824-5a7b-98cb-6241218b1fde",
      "locale": "id-ID",
      "localized_definition": "Menyelesaikan rumus terhadap variabel tertentu dan menerapkannya pada model geometri.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Manipulasi Rumus",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Established Indonesian school-algebra usage and adjacent-module consistency",
      "id": "urn:uuid:78288c34-7e00-5609-9367-87da8e6cdc51",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "sifat distributif / distribusikan atau terapkan sifat distributif",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Use bentuk for expression suku-suku sejenis for like terms and lawan rather than kebalikan for additive opposites.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81317+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0032",
      "source_record_id": "OSPA-TERM-0032",
      "source_term": "distributive property / distribute",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Indonesian elementary-arithmetic register and procedural context",
      "id": "urn:uuid:798c86f2-0360-52b1-975c-68fad82e58fd",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "menyimpan / proses menyimpan",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Do not use the literal physical senses membawa/mengangkut.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0013",
      "source_record_id": "OSPA-TERM-0013",
      "source_term": "carry in column addition",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "UI/UT comparator shelf; UT Logika Dasar uses bilangan cacah",
      "id": "urn:uuid:7f0724fb-fcf3-58a7-ade0-c30f0b4c6b9b",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "bilangan cacah",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Includes 0; never render mechanically as bilangan bulat.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0002",
      "source_record_id": "OSPA-TERM-0002",
      "source_term": "whole numbers",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "concept_id": "urn:uuid:8c70a457-38b1-58a3-889c-f8f48cc25804",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:82713214-5e04-5ff4-86a5-a7288142a08b",
      "locale": "id-ID",
      "localized_definition": "Mengklasifikasikan bilangan rasional, irasional, dan real serta menempatkannya dalam sistem bilangan real.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Klasifikasi Bilangan Real",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "concept_id": "urn:uuid:601730fc-d83e-5b76-ac91-69cc202ee37a",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:833143f6-83de-5981-ad5a-c4f5bfac696e",
      "locale": "id-ID",
      "localized_definition": "Mengalikan dan membagi pecahan serta menyederhanakan pecahan kompleks.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Perkalian dan Pembagian Pecahan",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "concept_id": "urn:uuid:415bc47f-b2db-5e03-9cec-a4ecae6c72fc",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:88603ba3-09d3-578d-9e48-622979fb5a52",
      "locale": "id-ID",
      "localized_definition": "Menerapkan aturan eksponen, operasi polinomial, hasil kali khusus, dan pola pemfaktoran elementer.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Eksponen, Polinomial, dan Pemfaktoran",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Standard Indonesian mathematical usage",
      "id": "urn:uuid:911bfed8-46dc-5e5b-b797-cea938114f9a",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "pembulatan",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Use membulatkan for the operation; avoid machine-draft mengumpulkan.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0008",
      "source_record_id": "OSPA-TERM-0008",
      "source_term": "rounding",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "concept_id": "urn:uuid:ec08b972-19a4-5403-a6aa-adeb257ab961",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:938d0b97-2ec3-5d46-bfdc-78a4b1a4bb2c",
      "locale": "id-ID",
      "localized_definition": "Menyelesaikan dan memeriksa persamaan satu langkah pada bilangan bulat.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Persamaan Bilangan Bulat",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "concept_id": "urn:uuid:41c1bda4-a944-5570-8df0-d8b1ad8d1353",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:95b38105-6b97-5af9-bf7b-dda1be9f364a",
      "locale": "id-ID",
      "localized_definition": "Menyelesaikan dan memeriksa persamaan satu langkah dengan koefisien atau konstanta pecahan.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Persamaan Pecahan",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Transparent Indonesian mathematical compound consistent with jumlah/penjumlahan",
      "id": "urn:uuid:962bbca9-ce56-599b-af40-6b6eac420a6e",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "suku penjumlahan",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Avoid summand loanword in introductory register.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81244+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0011",
      "source_record_id": "OSPA-TERM-0011",
      "source_term": "addend",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "UI Himpunan 1 (2020), UT Kalkulus 1, and the official 2017 Kemdikbud Grade VII mathematics text independently use bilangan asli for positive integers 1,2,3,...",
      "id": "urn:uuid:9cdfb6b4-30bc-5363-9443-2008c6fb836a",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "bilangan asli",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Do not collapse with bilangan cacah. The 2026-08-22 field-usage audit also corrected the former bilangan hitung rendering throughout m81272.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0001",
      "source_record_id": "OSPA-TERM-0001",
      "source_term": "counting numbers",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "concept_id": "urn:uuid:31502453-a546-5e6b-bcef-5bc13e60fdfb",
      "event_time": "2026-08-20T18:20:00Z",
      "id": "urn:uuid:a0766e3e-a3af-5c88-8cdf-c13d559a8cf4",
      "locale": "id-ID",
      "localized_definition": "Menempatkan dan mengurutkan bilangan bulat, mengenali lawan, dan mengevaluasi nilai mutlak.",
      "overlay_source_bytes": 8807,
      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
      "overlay_source_sha256": "sha256:0a3adf325286cd848eb69860e3197bf534a5d21aed57c1a1c3ef91988cd724cd",
      "preferred_term": "Urutan, Lawan, dan Nilai Mutlak Bilangan Bulat",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "term_kind": "concept_label",
      "translation_state": "mathematically_reviewed"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "UT Kalkulus 1 calls point 0 titik awal",
      "id": "urn:uuid:a4c5d9aa-95f6-51e1-a8d0-823fcc36eb56",
      "ledger_kind": "terminology",
      "ledger_sha256": "sha256:889aa072ac4c8ca5cbc7499a6a8c8001c06a98dc3ca3f1a404306a0d7a320519",
      "ledger_status": "admitted",
      "locale": "id-ID",
      "preferred_term": "titik awal",
      "record_type": "term",
      "responsible_workflow": "01a01f53-prealgebra2e-volume-backend",
      "risk_or_adverse_detail": "Titik asal is also used in coordinate geometry but comparator evidence supports titik awal for this elementary number-line definition.",
      "schema_name": "openstax-foundations-modular-backend",
      "schema_version": "0.2.5",
      "scope": "m81243+",
      "source_locator": "TERMINOLOGY_AND_ADVERSE_LEDGER.id-ID.csv#OSPA-TERM-0004",
      "source_record_id": "OSPA-TERM-0004",
      "source_term": "origin",
      "status": "mathematically_reviewed",
      "supersedes": null,
      "translation_state": "admitted"
    },
    {
      "event_time": "2026-08-20T18:20:00Z",
      "evidence_basis": "Reasoned transparent target; comparator evidence does not supply a stronger fixed term",
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      "locale": "id-ID",
      "localized_definition": "Memplot titik dan persamaan linear serta menafsirkan titik potong, gradien, dan hubungan grafik.",
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      "overlay_source_path": "curation/a00-concept-terms.id-ID.v1.json",
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      "preferred_term": "Grafik Koordinat dan Gradien",
      "record_type": "term",
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    },
    {
      "event_time": "2026-08-20T18:20:00Z",
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      "localized_definition": "Menghitung dan menafsirkan volume serta luas permukaan bangun ruang umum.",
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      "localized_definition": "Menjumlahkan, mengurangkan, mengalikan, dan membagi desimal, termasuk penerapan uang.",
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      "event_time": "2026-08-20T18:20:00Z",
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      "locale": "id-ID",
      "preferred_term": "jumlah",
      "record_type": "term",
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      "risk_or_adverse_detail": "In m:mtext localize Sum = to Jumlah = while preserving surrounding MathML.",
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    {
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      "localized_definition": "Menjumlahkan dan mengurangkan pecahan serta bilangan campuran dengan penyebut sama atau berbeda.",
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    {
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