Program: English — B10 · Bahasa Indonesia — B10 · Mathematics Program home · Beranda Program Matematika · Original source — Original author’s reader — Discrete Mathematics: An Open Introduction, 4th edition · Open related page · Open related page Mathematics program — English Program — Bahasa Indonesia Original author’s website ↗ Book contents Original English by Oscar Levin. This unofficial mirror includes local math and search assets and frozen exercise statements. Remote computation, live checking and external websites still need internet access. Use the original website for its live services.
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Contents Index Embed Dark Mode Prev Up Next \(\usepackage{cancel}
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Worksheet Preview Activity
1. Suppose that
\(6^{472}\) had a 2 for its unit digit. That is, suppose
\(6^{472} = 19,381,6\ldots\ldots 2\text{.}\) What would the unit digit of
\(6^{473}\) be?
Hint .
\(6^{473} = 6 \cdot 6^{472}\text{.}\)
2. What is the unit digit of
\(6^{2}\text{,}\) of
\(6^3\text{,}\) and of
\(6^4\text{?}\)
The unit’s digit of
\(6^2\) is
.
The unit’s digit of
\(6^3\) is
.
The unit’s digit of
\(6^4\) is
.
3.
Which of the following are true? Select all that apply.
If the unit’s digit of
\(6^k\) is a 6, then the unit’s digit of
\(6^{k+1}\) is a 6.
If the unit’s digit of
\(6^k\) is a 2, then the unit’s digit of
\(6^{k+1}\) is a 2.
The unit’s digit of
\(6^{472}\) is a 2.
The unit’s digit of
\(6^{472}\) is a 6.
Source-provided solution — read without completing the interaction
Correct.
Correct.
Incorrect.
Correct.
4. Explain your answer to the previous question.
Mathematics program — English Program — Bahasa Indonesia Original author’s website ↗ Book contents Program: English — B10 · Bahasa Indonesia — B10 · Mathematics Program home · Beranda Program Matematika · Original source — Original author’s reader — Discrete Mathematics: An Open Introduction, 4th edition · Open related page · Open related page 
