Add Whole Numbers — Prealgebra 2e

Use Addition Notation

A college student has a part-time job. Last week he worked $3$ hours on Monday and $4$ hours on Friday. To find the total number of hours he worked last week, he added $3$ and $4 .$

The operation of addition combines numbers to get a sum. The notation we use to find the sum of $3$ and $4$ is:

3 + 4

We read this as three plus four and the result is the sum of three and four. The numbers $3$ and $4$ are called the addends. A math statement that includes numbers and operations is called an expression.

Translate from math notation to words:

ⓐ $7 + 1$
ⓑ $12 + 14$

Solution

ⓐ The expression consists of a plus symbol connecting the addends 7 and 1. We read this as seven plus one. The result is the sum of seven and one.
ⓑ The expression consists of a plus symbol connecting the addends 12 and 14. We read this as twelve plus fourteen. The result is the sum of twelve and fourteen.

Model Addition of Whole Numbers

Addition is really just counting. We will model addition with $base-10$ blocks. Remember, a block represents $1$ and a rod represents $10 .$ Let’s start by modeling the addition expression we just considered, $3 + 4 .$

Each addend is less than $10,$ so we can use ones blocks.

We start by modeling the first number with 3 blocks.
Then we model the second number with 4 blocks.
Count the total number of blocks.

There are $7$ blocks in all. We use an equal sign $(=)$ to show the sum. A math sentence that shows that two expressions are equal is called an equation. We have shown that. $3 + 4 = 7 .$

Model the addition $2 + 6 .$

Solution

$2 + 6$ means the sum of $2$ and $6$

Each addend is less than 10, so we can use ones blocks.

Model the first number with 2 blocks.
Model the second number with 6 blocks.
Count the total number of blocks	There are $8$ blocks in all, so $2 + 6 = 8 .$

When the result is $10$ or more ones blocks, we will exchange the $10$ blocks for one rod.

Model the addition $5 + 8 .$

Solution

$5 + 8$ means the sum of $5$ and $8 .$

Each addend is less than 10, se we can use ones blocks.
Model the first number with 5 blocks.
Model the second number with 8 blocks.
Count the result. There are more than 10 blocks so we exchange 10 ones blocks for 1 tens rod.
Now we have 1 ten and 3 ones, which is 13.	5 + 8 = 13

Notice that we can describe the models as ones blocks and tens rods, or we can simply say ones and tens. From now on, we will use the shorter version but keep in mind that they mean the same thing.

Next we will model adding two digit numbers.

Model the addition: $17 + 26 .$

Solution

$17 + 26$ means the sum of 17 and 26.

Model the 17.	1 ten and 7 ones
Model the 26.	2 tens and 6 ones
Combine.	3 tens and 13 ones
Exchange 10 ones for 1 ten.	4 tens and 3 ones $40 + 3 = 43$
We have shown that $17 + 26 = 43$

Add Whole Numbers Without Models

Now that we have used models to add numbers, we can move on to adding without models. Before we do that, make sure you know all the one digit addition facts. You will need to use these number facts when you add larger numbers.

Imagine filling in Table 6 by adding each row number along the left side to each column number across the top. Make sure that you get each sum shown. If you have trouble, model it. It is important that you memorize any number facts you do not already know so that you can quickly and reliably use the number facts when you add larger numbers.

+	0	1	2	3	4	5	6	7	8	9
0	0	1	2	3	4	5	6	7	8	9
1	1	2	3	4	5	6	7	8	9	10
2	2	3	4	5	6	7	8	9	10	11
3	3	4	5	6	7	8	9	10	11	12
4	4	5	6	7	8	9	10	11	12	13
5	5	6	7	8	9	10	11	12	13	14
6	6	7	8	9	10	11	12	13	14	15
7	7	8	9	10	11	12	13	14	15	16
8	8	9	10	11	12	13	14	15	16	17
9	9	10	11	12	13	14	15	16	17	18

Did you notice what happens when you add zero to a number? The sum of any number and zero is the number itself. We call this the Identity Property of Addition. Zero is called the additive identity.

Find each sum:

ⓐ $0 + 11$
ⓑ $42 + 0$

Solution

ⓐ The first addend is zero. The sum of any number and zero is the number.	$0 + 11 = 11$
ⓑ The second addend is zero. The sum of any number and zero is the number.	$42 + 0 = 42$

Look at the pairs of sums.

Demonstrates the commutative property of addition, where changing the order of operands does not change the sum.
$2 + 3 = 5$	$3 + 2 = 5$
$4 + 7 = 11$	$7 + 4 = 11$
$8 + 9 = 17$	$9 + 8 = 17$

Notice that when the order of the addends is reversed, the sum does not change. This property is called the Commutative Property of Addition, which states that changing the order of the addends does not change their sum.

Add:

ⓐ $8 + 7$
ⓑ $7 + 8$

Solution

This table demonstrates an example of an addition operation, specifically 8 plus 7, yielding 15.

ⓐ

Add. $8 + 7$

$15$
Details for addition problem 'ⓑ', showing the expression '7+8' and its sum '15'.

ⓑ

Add. $7 + 8$

$15$

This table demonstrates an example of an addition operation, specifically 8 plus 7, yielding 15.
ⓐ
Add.	$8 + 7$
	$15$

Details for addition problem 'ⓑ', showing the expression '7+8' and its sum '15'.
ⓑ
Add.	$7 + 8$
	$15$

Did you notice that changing the order of the addends did not change their sum? We could have immediately known the sum from part ⓑ just by recognizing that the addends were the same as in part ⓐ , but in the reverse order. As a result, both sums are the same.

Add: $28 + 61 .$

Solution

To add numbers with more than one digit, it is often easier to write the numbers vertically in columns.

This table illustrates the step-by-step vertical addition of two-digit numbers, showing both the instructions and the corresponding mathematical representation.
Write the numbers so the ones and tens digits line up vertically.	$\begin{matrix} 28 \\ \underset{____}{+ 61} \end{matrix}$
Then add the digits in each place value. Add the ones: $8 + 1 = 9$ Add the tens: $2 + 6 = 8$	$\begin{matrix} 28 \\ \underset{____}{+ 61} \\ 89 \end{matrix}$

In the previous example, the sum of the ones and the sum of the tens were both less than $10 .$ But what happens if the sum is $10$ or more? Let’s use our $base-10$ model to find out. Figure 1 shows the addition of $17$ and $26$ again.

An image containing two groups of items. The left group includes 1 horizontal rod with 10 blocks and 7 individual blocks 2 horizontal rods with 10 blocks each and 6 individual blocks. The label to the left of this group of items is “17 + 26 =”. The right group contains two items. Four horizontal rods containing 10 blocks each. Then, 3 individual blocks. The label for this group is “17 + 26 = 43”.

When we add the ones, $7 + 6,$ we get $13$ ones. Because we have more than $10$ ones, we can exchange $10$ of the ones for $1$ ten. Now we have $4$ tens and $3$ ones. Without using the model, we show this as a small red $1$ above the digits in the tens place.

When the sum in a place value column is greater than $9,$ we carry over to the next column to the left. Carrying is the same as regrouping by exchanging. For example, $10$ ones for $1$ ten or $10$ tens for $1$ hundred.

Add: $43 + 69 .$

Solution

Step-by-step example demonstrating how to add two-digit numbers with carrying, using 43 and 69 as an illustration.
Write the numbers so the digits line up vertically.	$\begin{matrix} 43 \\ \underset{____}{+ 69} \end{matrix}$
Add the digits in each place. Add the ones: $3 + 9 = 12$
Write the $2$ in the ones place in the sum. Add the $1$ ten to the tens place.	$\begin{matrix} \overset{1}{4} 3 \\ \underset{____}{+ 69} \\ 2 \end{matrix}$
Now add the tens: $1 + 4 + 6 = 11$ Write the 11 in the sum.	$\begin{matrix} \overset{1}{4} 3 \\ \underset{____}{+ 69} \\ 112 \end{matrix}$

Add: $324 + 586 .$

Solution

Step-by-step guide to adding multi-digit numbers with visual examples.
Write the numbers so the digits line up vertically.
Add the digits in each place value. Add the ones: $4 + 6 = 10$ Write the $0$ in the ones place in the sum and carry the $1$ ten to the tens place.
Add the tens: $1 + 2 + 8 = 11$ Write the $1$ in the tens place in the sum and carry the $1$ hundred to the hundreds	$A mathematical column addition problem features the number 586. Above the digits, the fractions 1/3 and 1/2 appear alongside the digit 4, placed as if they are carry-over numbers. Below the line, the partial sum '10' is shown.$
Add the hundreds: $1 + 3 + 5 = 9$ Write the $9$ in the hundreds place.	$A column addition problem showing 324 plus 586 equals 910, with the fractions 1/3 and 1/2 written above the hundreds and tens digits of the first operand.$

Add: $1,683 + 479 .$

Solution

This table illustrates the step-by-step process of adding multi-digit numbers using the column addition method, including carrying.
Write the numbers so the digits line up vertically.	$\begin{matrix} 1,683 \\ \underset{______}{+ 479} \end{matrix}$
Add the digits in each place value.
Add the ones: $3 + 9 = 12.$ Write the $2$ in the ones place of the sum and carry the $1$ ten to the tens place.	$\begin{matrix} 1,6 \overset{1}{8} 3 \\ \underset{______}{+ 479} \\ 2 \end{matrix}$
Add the tens: $1 + 7 + 8 = 16$ Write the $6$ in the tens place and carry the $1$ hundred to the hundreds place.	$\begin{matrix} 1, \overset{1}{6} \overset{1}{8} 3 \\ \underset{______}{+ 479} \\ 62 \end{matrix}$
Add the hundreds: $1 + 6 + 4 = 11$ Write the $1$ in the hundreds place and carry the $1$ thousand to the thousands place.	$\begin{matrix} 1, \overset{1}{6} \overset{1}{8} 3 \\ \underset{______}{+ 479} \\ 162 \end{matrix}$
Add the thousands $1 + 1 = 2$ . Write the $2$ in the thousands place of the sum.	$\begin{matrix} \overset{1}{1,} \overset{1}{6} \overset{1}{8} 3 \\ \underset{______}{+ 479} \\ 2,162 \end{matrix}$

When the addends have different numbers of digits, be careful to line up the corresponding place values starting with the ones and moving toward the left.

Add: $21,357 + 861 + 8,596 .$

Solution

Step-by-step illustration of adding multi-digit numbers with carrying, broken down by place value.
Write the numbers so the place values line up vertically.	$\begin{matrix} 21,357 \\ 861 \\ \underset{_______}{+ 8,596} \end{matrix}$
Add the digits in each place value.
Add the ones: $7 + 1 + 6 = 14$ Write the $4$ in the ones place of the sum and carry the $1$ to the tens place.	$\begin{matrix} 21,3 \overset{1}{5} 7 \\ 861 \\ \underset{_______}{+ 8,596} \\ 4 \end{matrix}$
Add the tens: $1 + 5 + 6 + 9 = 21$ Write the $1$ in the tens place and carry the $2$ to the hundreds place.	$\begin{matrix} 21, \overset{2}{3} \overset{1}{5} 7 \\ 861 \\ \underset{_______}{+ 8,596} \\ 14 \end{matrix}$
Add the hundreds: $2 + 3 + 8 + 5 = 18$ Write the $8$ in the hundreds place and carry the $1$ to the thousands place.	$\begin{matrix} 2 \overset{1}{1,} \overset{2}{3} \overset{1}{5} 7 \\ 861 \\ \underset{_______}{+ 8,596} \\ 814 \end{matrix}$
Add the thousands $1 + 1 + 8 = 10$ . Write the $0$ in the thousands place and carry the $1$ to the ten thousands place.	$\begin{matrix} \overset{1}{2} \overset{1}{1,} \overset{2}{3} \overset{1}{5} 7 \\ 861 \\ \underset{_______}{+ 8,596} \\ 0814 \end{matrix}$
Add the ten-thousands $1 + 2 = 3$ . Write the $3$ in the ten thousands place in the sum.	$\begin{matrix} \overset{1}{2} \overset{1}{1,} \overset{2}{3} \overset{1}{5} 7 \\ 861 \\ \underset{_______}{+ 8,596} \\ 30,814 \end{matrix}$

This example had three addends. We can add any number of addends using the same process as long as we are careful to line up the place values correctly.

Translate Word Phrases to Math Notation

Earlier in this section, we translated math notation into words. Now we’ll reverse the process. We’ll translate word phrases into math notation. Some of the word phrases that indicate addition are listed in Table 16.

Operation	Words	Example	Expression
Addition	plus sum increased by more than total of added to	$1$ plus $2$ the sum of $3$ and $4$ $5$ increased by $6$ $8$ more than $7$ the total of $9$ and $5$ $6$ added to $4$	$1 + 2$ $3 + 4$ $5 + 6$ $7 + 8$ $9 + 5$ $4 + 6$

Translate and simplify: the sum of $19$ and $23 .$

Solution

The word sum tells us to add. The words of $19$ and $23$ tell us the addends.

This table demonstrates the step-by-step process of translating a verbal addition problem into a mathematical expression and finding its sum.
	The sum of $19$ and $23$
Translate.	$19 + 23$
Add.	$42$
	The sum of $19$ and $23$ is $42.$

Translate and simplify: $28$ increased by $31 .$

Solution

The words increased by tell us to add. The numbers given are the addends.

Steps demonstrating how to translate a word problem into a mathematical expression and solve it.
	$28$ increased by $31.$
Translate.	$28 + 31$
Add.	$59$
	So $28$ increased by $31$ is $59.$

Add Whole Numbers in Applications

Now that we have practiced adding whole numbers, let’s use what we’ve learned to solve real-world problems. We’ll start by outlining a plan. First, we need to read the problem to determine what we are looking for. Then we write a word phrase that gives the information to find it. Next we translate the word phrase into math notation and then simplify. Finally, we write a sentence to answer the question.

Hao earned grades of $87, 93, 68, 95, and 89$ on the five tests of the semester. What is the total number of points he earned on the five tests?

Solution

We are asked to find the total number of points on the tests.

Step-by-step guide on translating a verbal phrase to a mathematical sum and solving for total points.
Write a phrase.	the sum of points on the tests
Translate to math notation.	$87 + 93 + 68 + 95 + 89$
Then we simplify by adding.
Since there are several numbers, we will write them vertically.	$\begin{matrix} \overset{3}{8} 7 \\ 93 \\ 68 \\ 95 \\ \underset{____}{+ 89} \\ 432 \end{matrix}$
Write a sentence to answer the question.	Hao earned a total of 432 points.

Notice that we added points, so the sum is $432$ points. It is important to include the appropriate units in all answers to applications problems.

Some application problems involve shapes. For example, a person might need to know the distance around a garden to put up a fence or around a picture to frame it. The perimeter is the distance around a geometric figure. The perimeter of a figure is the sum of the lengths of its sides.

Find the perimeter of the patio shown.

This is an image of a perimeter of a patio. There are six sides. The far left side is labeled 4 feet, the top side is labeled 9 feet, the right side is short and labeled 2 feet, then extends across to the left and is labeled 3 feet. From here, the side extends down and is labeled 2 feet. Finally, the base is labeled 6 feet.

Solution

This table illustrates the step-by-step process of calculating the perimeter of an object, from defining the problem to providing the final solution.
We are asked to find the perimeter.
Write a phrase.	the sum of the sides
Translate to math notation.	$4 + 6 + 2 + 3 + 2 + 9$
Simplify by adding.	$26$
Write a sentence to answer the question.
We added feet, so the sum is $26$ feet.	The perimeter of the patio is $26$ feet.

Key Concepts

Addition Notation To describe addition, we can use symbols and words.

Operation Notation Expression Read as Result

Addition $+$ $3 + 4$ three plus four the sum of $3$ and $4$
Identity Property of Addition
- The sum of any number $a$ and $0$ is the number. $a + 0 = a$ $0 + a = a$
Commutative Property of Addition
- Changing the order of the addends $a$ and $b$ does not change their sum. $a + b = b + a$ .
Add whole numbers.
1. Write the numbers so each place value lines up vertically.
2. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.
3. Continue adding each place value from right to left, adding each place value and carrying if needed.

Operation	Notation	Expression	Read as	Result
Addition	$+$	$3 + 4$	three plus four	the sum of $3$ and $4$

Practice Makes Perfect

Use Addition Notation

In the following exercises, translate the following from math expressions to words.

$5 + 2$

Solution

five plus two; the sum of 5 and 2.

$6 + 3$

$13 + 18$

Solution

thirteen plus eighteen; the sum of 13 and 18.

$15 + 16$

$214 + 642$

Solution

two hundred fourteen plus six hundred forty-two; the sum of 214 and 642

$438 + 113$

Model Addition of Whole Numbers

In the following exercises, model the addition.

$2 + 4$

Solution

The image uses blocks to demonstrate addition of whole numbers, in this case 2 + 4.

$2 + 4 = 6$

$5 + 3$

$8 + 4$

Solution

The image uses blocks to demonstrate addition of whole numbers, in this case 8 + 4.

$8 + 4 = 12$

$5 + 9$

$14 + 75$

Solution

The image uses blocks to demonstrate addition of whole numbers, in this case 14 + 75.

$14 + 75 = 89$

$15 + 63$

$16 + 25$

Solution

The image uses blocks to demonstrate addition of whole numbers, in this case 16 + 25.

$16 + 25 = 41$

$14 + 27$

Add Whole Numbers

In the following exercises, fill in the missing values in each chart.

An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values “+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The second column has the values “0; 0; 1; null; 3; 4; 5; 6; null; 8; 9”. The third column has the values “1; 1; 2; 3; null; 5; 6; 7; null; 9; 10”. The fourth column has the values “2; 2; 3; 4; 5; null; 7; 8; 9; null; 11”. The fifth column has the values “3; null; 4; 5; null; null; 8; null; 10; 11; null”. The sixth column has the values “4; 4; null; 6;7; 8; null; 10; null; null; 13”. The seventh column has the values “5; 5; null; null; 8; 9; null; null; 12; null; 14”. The eighth column has the values “6; 6; 7; 8; null; null; 11; null; null; 14; null”. The ninth column has the values “7; 7; 8; null; 10; 11; null; 13; null; null; null”. The tenth column has the values “8; null; 9; null; null; 12; 13; null; 15; 16; 17”. The eleventh column has the values “9; 9; null; 11; 12; null; null; 15; 16; null; null”.

Solution

An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The cells contain numbers and answers to the problem.

An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values “+; 6; 7; 8; 9”. The first row has the values “+; 3; 4; 5; 6; 7; 8; 9”.

Solution

An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells contain numbers and answers to the problem.

An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values “+; 5; 6; 7; 8; 9”. The first column has the values “+; 5; 6; 7; 8; 9”.

Solution

An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells contain numbers and answers to the problem.

An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values “+; 6; 7; 8; 9”. The first column has the values “+; 6; 7; 8; 9”.

In the following exercises, add.

ⓐ $0 + 13$
ⓑ $13 + 0$

Solution

ⓐ 13
ⓑ 13

ⓐ $0 + 5,280$
ⓑ $5,280 + 0$

ⓐ $8 + 3$
ⓑ $3 + 8$

Solution

ⓐ $11$
ⓑ $11$

ⓐ $7 + 5$
ⓑ $5 + 7$

$45 + 33$

Solution

$78$

$37 + 22$

$71 + 28$

Solution

$99$

$43 + 53$

$26 + 59$

Solution

$85$

$38 + 17$

$64 + 78$

Solution

$142$

$92 + 39$

$168 + 325$

Solution

$493$

$247 + 149$

$584 + 277$

Solution

$861$

$175 + 648$

$832 + 199$

Solution

$1,031$

$775 + 369$

$6,358 + 492$

Solution

$6,850$

$9,184 + 578$

$3,740 + 18,593$

Solution

$22,333$

$6,118 + 15,990$

$485,012 + 619,848$

Solution

$1,104,860$

$368,911 + 857,289$

$24,731 + 592 + 3,868$

Solution

$29,191$

$28,925 + 817 + 4,593$

$8,015 + 76,946 + 16,570$

Solution

$101,531$

$6,291 + 54,107 + 28,635$

Translate Word Phrases to Math Notation

In the following exercises, translate each phrase into math notation and then simplify.

the sum of $13$ and $18$

Solution

$13 + 18 = 31$

the sum of $12$ and $19$

the sum of $90$ and $65$

Solution

$90 + 65 = 155$

the sum of $70$ and $38$

$33$ increased by $49$

Solution

$33 + 49 = 82$

$68$ increased by $25$

$250$ more than $599$

Solution

$599 + 250 = 849$

$115$ more than $286$

the total of $628$ and $77$

Solution

$628 + 77 = 705$

the total of $593$ and $79$

$1,482$ added to $915$

Solution

$915 + 1,482 = 2,397$

$2,719$ added to $682$

Add Whole Numbers in Applications

In the following exercises, solve the problem.

Home remodeling Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost $$1,100,$ the microwave cost $$250,$ and the dishwasher cost $$525 .$ What was the total cost of these three appliances?

Solution

The total cost was $1,875.

Sports equipment Aiden bought a baseball bat, helmet, and glove. The bat cost $$299,$ the helmet cost $$35,$ and the glove cost $$68 .$ What was the total cost of Aiden’s sports equipment?

Bike riding Ethan rode his bike $14$ miles on Monday, $19$ miles on Tuesday, $12$ miles on Wednesday, $25$ miles on Friday, and $68$ miles on Saturday. What was the total number of miles Ethan rode?

Solution

Ethan rode 138 miles.

Business Chloe has a flower shop. Last week she made $19$ floral arrangements on Monday, $12$ on Tuesday, $23$ on Wednesday, $29$ on Thursday, and $44$ on Friday. What was the total number of floral arrangements Chloe made?

Apartment size Jackson lives in a $7$ room apartment. The number of square feet in each room is $238, 120, 156, 196, 100, 132,$ and $225 .$ What is the total number of square feet in all $7$ rooms?

Solution

The total square footage in the rooms is 1,167 square feet.

Weight Seven men rented a fishing boat. The weights of the men were $175, 192, 148, 169, 205, 181,$ and $225$ pounds. What was the total weight of the seven men?

Salary Last year Natalie’s salary was $$82,572 .$ Two years ago, her salary was $$79,316,$ and three years ago it was $$75,298 .$ What is the total amount of Natalie’s salary for the past three years?

Solution

Natalie’s total salary is $237,186.

Home sales Emma is a realtor. Last month, she sold three houses. The selling prices of the houses were $$292,540, $505,875,$ and $$423,699 .$ What was the total of the three selling prices?

In the following exercises, find the perimeter of each figure.

An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.

Solution

The perimeter of the figure is 44 inches.

An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.

A rectangle 21 meters wide and 7 meters tall.

Solution

The perimeter of the figure is 56 meters.

A rectangle 19 feet wide and 14 feet tall.

A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.

Solution

The perimeter of the figure is 71 yards.

A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.

This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.

Solution

The perimeter of the figure is 62 feet.

This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.

Everyday Math

Calories Paulette had a grilled chicken salad, ranch dressing, and a $16-ounce$ drink for lunch. On the restaurant’s nutrition chart, she saw that each item had the following number of calories:

Grilled chicken salad – $320$ calories
Ranch dressing – $170$ calories
$16-ounce$ drink – $150$ calories

What was the total number of calories of Paulette’s lunch?

Solution

The total number of calories was 640.

Calories Fred had a grilled chicken sandwich, a small order of fries, and a $12-oz$ chocolate shake for dinner. The restaurant’s nutrition chart lists the following calories for each item:

Grilled chicken sandwich – $420$ calories
Small fries – $230$ calories
$12-oz$ chocolate shake – $580$ calories

What was the total number of calories of Fred’s dinner?

Test scores A student needs a total of $400$ points on five tests to pass a course. The student scored $82, 91, 75, 88, and 70 .$ Did the student pass the course?

Solution

Yes, he scored 406 points.

Elevators The maximum weight capacity of an elevator is $1150$ pounds. Six men are in the elevator. Their weights are $210, 145, 183, 230, 159, and 164$ pounds. Is the total weight below the elevator’s maximum capacity?

Solution

Yes, the total weight is 1091 pounds.

Writing Exercises

How confident do you feel about your knowledge of the addition facts? If you are not fully confident, what will you do to improve your skills?

Solution

Answers will vary.

How have you used models to help you learn the addition facts?

Self Check

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

A self-assessment chart helps students evaluate their addition skills, from using notation to applying whole numbers. Categories include Confidently, With some help, and No-I don't get it!

ⓑ After reviewing this checklist, what will you do to become confident for all objectives?

+	0	1	2	3	4	5	6	7	8	9
0	0	1	2	3	4	5	6	7	8	9
1	1	2	3	4	5	6	7	8	9	10
2	2	3	4	5	6	7	8	9	10	11
3	3	4	5	6	7	8	9	10	11	12
4	4	5	6	7	8	9	10	11	12	13
5	5	6	7	8	9	10	11	12	13	14
6	6	7	8	9	10	11	12	13	14	15
7	7	8	9	10	11	12	13	14	15	16
8	8	9	10	11	12	13	14	15	16	17
9	9	10	11	12	13	14	15	16	17	18

+	0	1	2	3	4	5	6	7	8	9
0	0	1	2	3	4	5	6	7	8	9
1	1	2	3	4	5	6	7	8	9	10
2	2	3	4	5	6	7	8	9	10	11
3	3	4	5	6	7	8	9	10	11	12
4	4	5	6	7	8	9	10	11	12	13
5	5	6	7	8	9	10	11	12	13	14
6	6	7	8	9	10	11	12	13	14	15
7	7	8	9	10	11	12	13	14	15	16
8	8	9	10	11	12	13	14	15	16	17
9	9	10	11	12	13	14	15	16	17	18

+	0	1	2	3	4	5	6	7	8	9
0	0	1	2	3	4	5	6	7	8	9
1	1	2	3	4	5	6	7	8	9	10
2	2	3	4	5	6	7	8	9	10	11
3	3	4	5	6	7	8	9	10	11	12
4	4	5	6	7	8	9	10	11	12	13
5	5	6	7	8	9	10	11	12	13	14
6	6	7	8	9	10	11	12	13	14	15
7	7	8	9	10	11	12	13	14	15	16
8	8	9	10	11	12	13	14	15	16	17
9	9	10	11	12	13	14	15	16	17	18