Content check — Prealgebra, Chapter 1: Whole Numbers

Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.

Chapter 1: Whole Numbers

453 problems · 77 figures

Try It 1.1 §1.1 source ↗

Which of the following are ⓐ counting numbers ⓑ whole numbers?

$0,$ $\frac{2}{3},$ $2,$ $9,$ $11.8,$ $241,$ $376$

Answer

ⓐ 2, 9, 241, 376

ⓑ 0, 2, 9, 241, 376

Try It 1.2 §1.1 source ↗

Which of the following are ⓐ counting numbers ⓑ whole numbers?

$0,$ $\frac{5}{3},$ $7,$ $8.8,$ $13,$ $201$

Answer

ⓐ 7, 13, 201

ⓑ 0, 7, 13, 201

Try It 1.3 §1.1 source ↗

Use place value notation to find the value of the number modeled by the $base-10$ blocks shown.

An image consisting of three items. The first item is a square of 100, 10 blocks wide and 10 blocks tall. The second item is 7 horizontal rods containing 10 blocks each. The third item is 6 individual blocks.

Answer

176

Try It 1.4 §1.1 source ↗

Use place value notation to find the value of the number modeled by the $base-10$ blocks shown.

Answer

237

Try It 1.5 §1.1 source ↗

For each number, find the place value of digits listed: $27,493,615$

ⓐ $2$

ⓑ $1$

ⓓ $7$

ⓔ $5$

Answer

ⓐ ten millions

ⓑ tens

ⓓ millions

ⓔ ones

Try It 1.6 §1.1 source ↗

For each number, find the place value of digits listed: $519,711,641,328$

ⓐ $9$

ⓑ $4$

ⓓ $6$

ⓔ $7$

Answer

ⓐ billions

ⓑ ten thousands

ⓓ hundred thousands

ⓔ hundred millions

Try It 1.7 §1.1 source ↗

Name each number in words:

9,258,137,904,061

Answer

nine trillion, two hundred fifty-eight billion, one hundred thirty-seven million, nine hundred four thousand, sixty-one

Try It 1.8 §1.1 source ↗

Name each number in words:

17,864,325,619,004

Answer

seventeen trillion, eight hundred sixty-four billion, three hundred twenty-five million, six hundred nineteen thousand, four

Try It 1.9 §1.1 source ↗

The population in a country is

316,128,839 .

Name that number.

Answer

three hundred sixteen million, one hundred twenty-eight thousand, eight hundred thirty-nine

Try It 1.10 §1.1 source ↗

One year is

31,536,000

seconds. Name that number.

Answer

thirty-one million, five hundred thirty-six thousand

Try It 1.11 §1.1 source ↗

Write each number in standard form:

fifty-three million, eight hundred nine thousand, fifty-one.

Answer

53,809,051

Try It 1.12 §1.1 source ↗

Write each number in standard form:

two billion, twenty-two million, seven hundred fourteen thousand, four hundred sixty-six.

Answer

2,022,714,466

Try It 1.13 §1.1 source ↗

Write each number in standard form:

The closest distance from Earth to Mars is about $34$ million miles.

Answer

34,000,000 miles

Try It 1.14 §1.1 source ↗

Write each number in standard form:

The total weight of an aircraft carrier is $204$ million pounds.

Answer

204,000,000 pounds

Try It 1.15 §1.1 source ↗

Round to the nearest ten:

157 .

Answer

160

Try It 1.16 §1.1 source ↗

Round to the nearest ten:

884 .

Answer

880

Try It 1.17 §1.1 source ↗

Round to the nearest hundred:

17,852 .

Answer

17,900

Try It 1.18 §1.1 source ↗

Round to the nearest hundred:

4,951 .

Answer

5,000

Try It 1.19 §1.1 source ↗

Round to the nearest thousand:

63,921 .

Answer

64,000

Try It 1.20 §1.1 source ↗

Round to the nearest thousand:

156,437 .

Answer

156,000

1.1-1 §1.1 source ↗

Identify Counting Numbers and Whole Numbers

In the following exercises, determine which of the following numbers are ⓐ counting numbers ⓑ whole numbers.

$0,$ $\frac{2}{3},$ $5,$ $8.1,$ $125$

Answer

ⓐ 5, 125

ⓑ 0, 5, 125

1.1-3 §1.1 source ↗

Identify Counting Numbers and Whole Numbers

In the following exercises, determine which of the following numbers are ⓐ counting numbers ⓑ whole numbers.

$0,$ $\frac{4}{9},$ $3.9,$ $50,$ $221$

Answer

ⓐ 50, 221

ⓑ 0, 50, 221

1.1-5 §1.1 source ↗

Model Whole Numbers

In the following exercises, use place value notation to find the value of the number modeled by the $base-10$ blocks.

An image consisting of three items. The first item is five squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is six horizontal rods containing 10 blocks each. The third item is 1 individual block.

Answer

561

1.1-7 §1.1 source ↗

Model Whole Numbers

In the following exercises, use place value notation to find the value of the number modeled by the $base-10$ blocks.

An image consisting of two items. The first item is four squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 7 individual blocks.

Answer

407

1.1-9 §1.1 source ↗

Identify the Place Value of a Digit

In the following exercises, find the place value of the given digits.

$579,601$

ⓐ 9

ⓑ 6

ⓒ 0

ⓓ 7

ⓔ 5

Answer

ⓐ thousands

ⓑ hundreds

ⓓ ten thousands

ⓔ hundred thousands

1.1-11 §1.1 source ↗

Identify the Place Value of a Digit

In the following exercises, find the place value of the given digits.

$56,804,379$

ⓐ 8

ⓑ 6

ⓒ 4

ⓓ 7

ⓔ 0

Answer

ⓐ hundred thousands

ⓑ millions

ⓓ tens

ⓔ ten thousands

1.1-13 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$1,078$

Answer

One thousand, seventy-eight

1.1-15 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$364,510$

Answer

Three hundred sixty-four thousand, five hundred ten

1.1-17 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$5,846,103$

Answer

Five million, eight hundred forty-six thousand, one hundred three

1.1-19 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$37,889,005$

Answer

Thirty seven million, eight hundred eighty-nine thousand, five

1.1-21 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

The height of Mount Rainier is $14,410$ feet.

Answer

Fourteen thousand, four hundred ten

1.1-23 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

Seventy years is $613,200$ hours.

Answer

Six hundred thirteen thousand, two hundred

1.1-25 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

The U.S. Census estimate of the population of Miami-Dade county was $2,617,176 .$

Answer

Two million, six hundred seventeen thousand, one hundred seventy-six

1.1-27 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

There are projected to be $23,867,000$ college and university students in the US in five years.

Answer

Twenty three million, eight hundred sixty-seven thousand

1.1-29 §1.1 source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

The population of China is expected to reach $1,377,583,156$ in $2016 .$

Answer

One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six

1.1-31 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

four hundred twelve

Answer

412

1.1-33 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

thirty-five thousand, nine hundred seventy-five

Answer

35,975

1.1-35 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

eleven million, forty-four thousand, one hundred sixty-seven

Answer

11,044,167

1.1-37 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen

Answer

3,226,512,017

1.1-39 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

The population of the world was estimated to be seven billion, one hundred seventy-three million people.

Answer

7,173,000,000

1.1-41 §1.1 source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

Lake Tahoe has a capacity of thirty-nine trillion gallons of water.

Answer

39,000,000,000,000

1.1-43 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Round to the nearest ten:

ⓐ $386$

ⓑ $2,931$

Answer

ⓐ 390

ⓑ 2,930

1.1-45 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Round to the nearest hundred:

ⓐ $13,748$

ⓑ $391,794$

Answer

ⓐ 13,700

ⓑ 391,800

1.1-47 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Round to the nearest ten:

ⓐ $1,492$

ⓑ $1,497$

Answer

ⓐ 1,490

ⓑ 1,500

1.1-49 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Round to the nearest hundred:

ⓐ $63,994$

ⓑ $63,949$

Answer

ⓐ $64,000$

ⓑ $63,900$

1.1-51 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Writing a Check Jorge bought a car for $$24,493 .$ He paid for the car with a check. Write the purchase price in words.

Answer

Twenty four thousand, four hundred ninety-three dollars

1.1-53 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Buying a Car Jorge bought a car for $$24,493 .$ Round the price to the nearest:

ⓐ ten dollars

ⓑ hundred dollars

ⓓ ten-thousand dollars

Answer

ⓐ $24,490

ⓑ $24,500

ⓓ $20,000

1.1-55 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

Population The population of China was $1,355,692,544$ in $2014 .$ Round the population to the nearest:

ⓐ billion people

ⓑ hundred-million people

Answer

ⓐ $1,000,000,000$

ⓑ $1,400,000,000$

1.1-57 §1.1 source ↗

Round Whole Numbers

In the following exercises, round to the indicated place value.

In your own words, explain the difference between the counting numbers and the whole numbers.

Answer

Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.

Be Prepared 1.1 §1.2 source ↗

What is the number modeled by the $base-10$ blocks?

An image consisting of three items. The first item is two squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is one horizontal rod containing 10 blocks. The third item is 5 individual blocks.

If you missed this problem, review Example 1.2.

Example 1.2 in the book ↗

Answer

215

Be Prepared 1.2 §1.2 source ↗

Write the number three hundred forty-two thousand six using digits?
If you missed this problem, review Example 1.7.

Example 1.7 in the book ↗

Answer

342, 006

Try It 1.21 §1.2 source ↗

Translate from math notation to words:

ⓐ $8 + 4$

ⓑ $18 + 11$

Answer

ⓐ eight plus four; the sum of eight and four

ⓑ eighteen plus eleven; the sum of eighteen and eleven

Try It 1.22 §1.2 source ↗

Translate from math notation to words:

ⓐ $21 + 16$

ⓑ $100 + 200$

Answer

ⓐ twenty-one plus sixteen; the sum of twenty-one and sixteen

ⓑ one hundred plus two hundred; the sum of one hundred and two hundred

Try It 1.23 §1.2 source ↗

Model:

3 + 6 .

Answer

Try It 1.24 §1.2 source ↗

Model:

5 + 1 .

Answer

Try It 1.25 §1.2 source ↗

Model the addition:

5 + 7 .

Answer

Try It 1.26 §1.2 source ↗

Model the addition:

6 + 8 .

Answer

Try It 1.27 §1.2 source ↗

Model the addition:

15 + 27 .

Answer

Try It 1.28 §1.2 source ↗

Model the addition:

16 + 29 .

Answer

Try It 1.29 §1.2 source ↗

Find each sum:

ⓐ $0 + 19$

ⓑ $39 + 0$

Answer

ⓐ $0 + 19 = 19$

ⓑ $39 + 0 = 39$

Try It 1.30 §1.2 source ↗

Find each sum:

ⓐ $0 + 24$

ⓑ $57 + 0$

Answer

ⓐ $0 + 24 = 24$

ⓑ $57 + 0 = 57$

Try It 1.31 §1.2 source ↗

Add:

9 + 7

and

7 + 9 .

Answer

9 +

7 =

16;

7 +

9 =

16

Try It 1.32 §1.2 source ↗

Add:

8 + 6

and

6 + 8 .

Answer

8 +

6 =

14;

6 +

8 =

14

Try It 1.33 §1.2 source ↗

Add:

32 + 54 .

Answer

32 + 54 = 86

Try It 1.34 §1.2 source ↗

Add:

25 + 74 .

Answer

25 + 74 = 99

Try It 1.35 §1.2 source ↗

Add:

35 + 98 .

Answer

35 + 98 = 133

Try It 1.36 §1.2 source ↗

Add:

72 + 89 .

Answer

72 + 89 = 161

Try It 1.37 §1.2 source ↗

Add:

456 + 376 .

Answer

456 + 376 = 832

Try It 1.38 §1.2 source ↗

Add:

269 + 578 .

Answer

269 + 578 = 847

Try It 1.39 §1.2 source ↗

Add:

4,597 + 685 .

Answer

4,597 +

685 =

5,282

Try It 1.40 §1.2 source ↗

Add:

5,837 + 695 .

Answer

5,837 +

695 =

6,532

Try It 1.41 §1.2 source ↗

Add:

46,195 +

397 +

6,281 .

Answer

46,195 +

397 +

6,281 =

52,873

Try It 1.42 §1.2 source ↗

Add:

53,762 +

196 +

7,458 .

Answer

53,762 +

196 +

7,458 =

61,416

Try It 1.43 §1.2 source ↗

Translate and simplify: the sum of

17

and

26 .

Answer

Translate:

17 + 26

; Simplify:

43

Try It 1.44 §1.2 source ↗

Translate and simplify: the sum of

28

and

14 .

Answer

Translate:

28 + 14

; Simplify:

42

Try It 1.45 §1.2 source ↗

Translate and simplify:

29

increased by

76 .

Answer

Translate:

29 + 76

; Simplify

105

Try It 1.46 §1.2 source ↗

Translate and simplify:

37

increased by

69 .

Answer

Translate 37 + 69; Simplify 106

Try It 1.47 §1.2 source ↗

Mark is training for a bicycle race. Last week he rode

18

miles on Monday,

15

miles on Wednesday,

26

miles on Friday,

49

miles on Saturday, and

32

miles on Sunday. What is the total number of miles he rode last week?

Answer

He rode 140 miles.

Try It 1.48 §1.2 source ↗

Lincoln Middle School has three grades. The number of students in each grade is

230,

165,

and 325 .

What is the total number of students?

Answer

The total number is 720 students.

Try It 1.49 §1.2 source ↗

Find the perimeter of the figure. All lengths are in inches.

This image includes 8 sides. Side one on the left is labeled 4 inches, side 2 on the top is labeled 9 inches, side 3 on the right is labeled 4 inches, side 4 is labeled 3 inches, side 5 is labeled 2 inches, side 6 is labeled 3 inches, side 7 is labeled 2 inches, and side 8 is labeled 3 inches.

Answer

The perimeter is 30 inches.

Try It 1.50 §1.2 source ↗

Find the perimeter of the figure. All lengths are in inches.

This image includes 8 sides. Moving in a clockwise direction, the first side is labeled 2 inches, side 2 is labeled 12 inches, side 3 is labeled 6 inches, side 4 is labeled 4 inches, side 5 is labeled 2 inches, side 6 is labeled 4 inches, side 7 is labeled 2 inches and side 8 is labeled 4 inches.

Answer

The perimeter is 36 inches.

1.2-59 §1.2 source ↗

Use Addition Notation

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

$5 + 2$

Answer

five plus two; the sum of 5 and 2.

1.2-61 §1.2 source ↗

Use Addition Notation

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

$13 + 18$

Answer

thirteen plus eighteen; the sum of 13 and 18.

1.2-63 §1.2 source ↗

Use Addition Notation

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

$214 + 642$

Answer

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

1.2-65 §1.2 source ↗

Model Addition of Whole Numbers

In the following exercises, model the addition.

$2 + 4$

Answer

$2 + 4 = 6$

1.2-67 §1.2 source ↗

Model Addition of Whole Numbers

In the following exercises, model the addition.

$8 + 4$

Answer

$8 + 4 = 12$

1.2-69 §1.2 source ↗

Model Addition of Whole Numbers

In the following exercises, model the addition.

$14 + 75$

Answer

$14 + 75 = 89$

1.2-71 §1.2 source ↗

Model Addition of Whole Numbers

In the following exercises, model the addition.

$16 + 25$

Answer

$16 + 25 = 41$

1.2-73 §1.2 source ↗

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”.

Answer

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.

1.2-75 §1.2 source ↗

Add Whole Numbers

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

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”.

Answer

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.

1.2-77 §1.2 source ↗

Add Whole Numbers

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

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”.

Answer

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.

1.2-79 §1.2 source ↗

In the following exercises, add.

ⓐ $0 + 13$

ⓑ $13 + 0$

Answer

ⓐ 13

ⓑ 13

1.2-81 §1.2 source ↗

In the following exercises, add.

ⓐ $8 + 3$

ⓑ $3 + 8$

Answer

ⓐ $11$

ⓑ $11$

1.2-83 §1.2 source ↗

In the following exercises, add.

$45 + 33$

Answer

78

1.2-85 §1.2 source ↗

In the following exercises, add.

$71 + 28$

Answer

99

1.2-87 §1.2 source ↗

In the following exercises, add.

$26 + 59$

Answer

85

1.2-89 §1.2 source ↗

In the following exercises, add.

$64 + 78$

Answer

142

1.2-91 §1.2 source ↗

In the following exercises, add.

$168 + 325$

Answer

493

1.2-93 §1.2 source ↗

In the following exercises, add.

$584 + 277$

Answer

861

1.2-95 §1.2 source ↗

In the following exercises, add.

$832 + 199$

Answer

1,031

1.2-97 §1.2 source ↗

In the following exercises, add.

$6,358 + 492$

Answer

6,850

1.2-99 §1.2 source ↗

In the following exercises, add.

$3,740 +$ $18,593$

Answer

22,333

1.2-101 §1.2 source ↗

In the following exercises, add.

$485,012 +$ $619,848$

Answer

1,104,860

1.2-103 §1.2 source ↗

In the following exercises, add.

$24,731 +$ $592 +$ $3,868$

Answer

29,191

1.2-105 §1.2 source ↗

In the following exercises, add.

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

Answer

101,531

1.2-107 §1.2 source ↗

Translate Word Phrases to Math Notation

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

the sum of $13$ and $18$

Answer

13 + 18 = 31

1.2-109 §1.2 source ↗

Translate Word Phrases to Math Notation

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

the sum of $90$ and $65$

Answer

90 + 65 = 155

1.2-111 §1.2 source ↗

Translate Word Phrases to Math Notation

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

$33$ increased by $49$

Answer

33 + 49 = 82

1.2-113 §1.2 source ↗

Translate Word Phrases to Math Notation

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

$250$ more than $599$

Answer

599 + 250 = 849

1.2-115 §1.2 source ↗

Translate Word Phrases to Math Notation

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

the total of $628$ and $77$

Answer

628 + 77 = 705

1.2-117 §1.2 source ↗

Translate Word Phrases to Math Notation

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

$1,482$ added to $915$

Answer

915 +

1,482 =

2,397

1.2-119 §1.2 source ↗

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?

Answer

The total cost was $1,875.

1.2-121 §1.2 source ↗

Add Whole Numbers in Applications

In the following exercises, solve the problem.

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?

Answer

Ethan rode 138 miles.

1.2-123 §1.2 source ↗

Add Whole Numbers in Applications

In the following exercises, solve the problem.

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?

Answer

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

1.2-125 §1.2 source ↗

Add Whole Numbers in Applications

In the following exercises, solve the problem.

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?

Answer

Natalie’s total salary is $237,186.

1.2-127 §1.2 source ↗

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

Answer

The perimeter of the figure is 44 inches.

1.2-129 §1.2 source ↗

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

Answer

The perimeter of the figure is 56 meters.

1.2-131 §1.2 source ↗

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

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.

Answer

The perimeter of the figure is 71 yards.

1.2-133 §1.2 source ↗

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

Answer

The perimeter of the figure is 62 feet.

1.2-135 §1.2 source ↗

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

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?

Answer

The total number of calories was 640.

1.2-137 §1.2 source ↗

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

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?

Answer

Yes, he scored 406 points.

1.2-138 §1.2 source ↗

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

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?

Answer

Yes, the total weight is 1091 pounds.

1.2-139 §1.2 source ↗

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

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?

Answer

Answers will vary.

Be Prepared 1.3 §1.3 source ↗

Model

3 + 4

using base-ten blocks.
If you missed this problem, review Example 1.12.

Example 1.12 in the book ↗

Answer

Be Prepared 1.4 §1.3 source ↗

Add:

324 + 586 .

If you missed this problem, review Example 1.20.

Example 1.20 in the book ↗

Answer

910

Try It 1.51 §1.3 source ↗

Translate from math notation to words:

ⓐ $12 - 4$

ⓑ $29 - 11$

Answer

ⓐ twelve minus four; the difference of twelve and four

ⓑ twenty-nine minus eleven; the difference of twenty-nine and eleven

Try It 1.52 §1.3 source ↗

Translate from math notation to words:

ⓐ $11 - 2$

ⓑ $29 - 12$

Answer

ⓐ eleven minus two; the difference of eleven and two

ⓑ twenty-nine minus twelve; the difference of twenty-nine and twelve

Try It 1.53 §1.3 source ↗

Model:

9 - 6 .

Answer

Try It 1.54 §1.3 source ↗

Model:

6 - 1 .

Answer

Try It 1.55 §1.3 source ↗

Model the subtraction:

12 - 7 .

Answer

Try It 1.56 §1.3 source ↗

Model the subtraction:

14 - 8 .

Answer

Try It 1.57 §1.3 source ↗

Model the subtraction:

42 - 27 .

Answer

This image uses base ten blocks to visually represent the subtraction 42 - 27 = 15. It shows 4 tens and 2 ones as the starting number, and then partitions it into the number being subtracted (27) and the result (15).

Try It 1.58 §1.3 source ↗

Model the subtraction:

45 - 29 .

Answer

An illustration of subtracting 29 from 45 using base-ten blocks. Initially showing 4 tens and 5 units, 2 tens and 9 units are circled and removed, leaving 1 ten and 6 units, demonstrating 45 - 29 = 16.

Try It 1.59 §1.3 source ↗

Subtract and then check by adding:

$7 - 0$

Answer

7 − 0 = 7; 7 + 0 = 7

Try It 1.60 §1.3 source ↗

Subtract and then check by adding:

$6 - 2$

Answer

6 − 2 = 4; 2 + 4 = 6

Try It 1.61 §1.3 source ↗

Subtract and then check by adding:

86 - 54 .

Answer

86 − 54 = 32 because 54 + 32 = 86

Try It 1.62 §1.3 source ↗

Subtract and then check by adding:

99 - 74 .

Answer

99 − 74 = 25 because 74 + 25 = 99

Try It 1.63 §1.3 source ↗

Subtract and then check by adding:

93 - 58 .

Answer

93 − 58 = 35 because 58 + 35 = 93

Try It 1.64 §1.3 source ↗

Subtract and then check by adding:

81 - 39 .

Answer

81 − 39 = 42 because 42 + 39 = 81

Try It 1.65 §1.3 source ↗

Subtract and then check by adding:

439 - 52 .

Answer

439 − 52 = 387 because 387 + 52 = 439

Try It 1.66 §1.3 source ↗

Subtract and then check by adding:

318 - 75 .

Answer

318 − 75 = 243 because 243 + 75 = 318

Try It 1.67 §1.3 source ↗

Subtract and then check by adding:

832 - 376 .

Answer

832 − 376 = 456 because 456 + 376 = 832

Try It 1.68 §1.3 source ↗

Subtract and then check by adding:

847 - 578 .

Answer

847 − 578 = 269 because 269 + 578 = 847

Try It 1.69 §1.3 source ↗

Subtract and then check by adding:

4,585 - 697 .

Answer

4,585 − 697 = 3,888 because 3,888 + 697 = 4,585

Try It 1.70 §1.3 source ↗

Subtract and then check by adding:

5,637 - 899 .

Answer

5,637 − 899 = 4,738 because 4,738 + 899 = 5,637

Try It 1.71 §1.3 source ↗

Translate and simplify:

ⓐ the difference of $14$ and $9$

ⓑ subtract $21$ from $37$

Answer

ⓐ 14 − 9 = 5

ⓑ 37 − 21 = 16

Try It 1.72 §1.3 source ↗

Translate and simplify:

ⓐ $11$ decreased by $6$

ⓑ $18$ less than $67$

Answer

ⓐ 11 − 6 = 5

ⓑ 67 − 18 = 49

Try It 1.73 §1.3 source ↗

The high temperature on

June 1^{st}

in Boston was

77

degrees Fahrenheit, and the low temperature was

58

degrees Fahrenheit. What was the difference between the high and low temperatures?

Answer

The difference is 19 degrees Fahrenheit.

Try It 1.74 §1.3 source ↗

The weather forecast for June

2

in St Louis predicts a high temperature of

90

degrees Fahrenheit and a low of

73

degrees Fahrenheit. What is the difference between the predicted high and low temperatures?

Answer

The difference is 17 degrees Fahrenheit.

Try It 1.75 §1.3 source ↗

A television set is on sale for

$499 .

Its regular price is

$648 .

What is the difference between the regular price and the sale price?

Answer

The difference is $149.

Try It 1.76 §1.3 source ↗

A patio set is on sale for

$149 .

Its regular price is

$285 .

What is the difference between the regular price and the sale price?

Answer

The difference is $136.

1.3-141 §1.3 source ↗

Use Subtraction Notation

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

$15 - 9$

Answer

fifteen minus nine; the difference of fifteen and nine

1.3-143 §1.3 source ↗

Use Subtraction Notation

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

$42 - 35$

Answer

forty-two minus thirty-five; the difference of forty-two and thirty-five

1.3-145 §1.3 source ↗

Use Subtraction Notation

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

$675 - 350$

Answer

six hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty

1.3-147 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$5 - 2$

Answer

1.3-149 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$6 - 3$

Answer

1.3-151 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$18 - 5$

Answer

1.3-153 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$17 - 8$

Answer

1.3-155 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$35 - 13$

Answer

1.3-157 §1.3 source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$61 - 47$

Answer

1.3-159 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$9 - 4$

Answer

1.3-161 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$8 - 0$

Answer

1.3-163 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$38 - 16$

Answer

1.3-165 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$85 - 52$

Answer

1.3-167 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$493 - 370$

Answer

123

1.3-169 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$5,946 - 4,625$

Answer

1,321

1.3-171 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$75 - 47$

Answer

1.3-173 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$461 - 239$

Answer

222

1.3-175 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$525 - 179$

Answer

346

1.3-177 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$6,318 - 2,799$

Answer

3,519

1.3-179 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$2,150 - 964$

Answer

1,186

1.3-181 §1.3 source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$43,650 -$ $8,982$

Answer

34,668

1.3-183 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

The difference of $10$ and $3$

Answer

10 − 3; 7

1.3-185 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

The difference of $15$ and $4$

Answer

15 − 4; 11

1.3-187 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

Subtract $6$ from $9$

Answer

9 − 6; 3

1.3-189 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

Subtract $28$ from $75$

Answer

75 − 28; 47

1.3-191 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

$45$ decreased by $20$

Answer

45 − 20; 25

1.3-193 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

$92$ decreased by $67$

Answer

92 − 67; 25

1.3-195 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

$12$ less than $16$

Answer

16 − 12; 4

1.3-197 §1.3 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

$38$ less than $61$

Answer

61 − 38; 23

1.3-199 §1.3 source ↗

Mixed Practice

In the following exercises, simplify.

$76 - 47$

Answer

1.3-201 §1.3 source ↗

Mixed Practice

In the following exercises, simplify.

$256 - 184$

Answer

1.3-203 §1.3 source ↗

Mixed Practice

In the following exercises, simplify.

$719 + 341$

Answer

1,060

1.3-205 §1.3 source ↗

Mixed Practice

In the following exercises, simplify.

$2,015 - 1,993$

Answer

1.3-207 §1.3 source ↗

In the following exercises, translate and simplify.

Seventy-five more than thirty-five

Answer

75 + 35; 110

1.3-209 §1.3 source ↗

In the following exercises, translate and simplify.

$13$ less than $41$

Answer

41 − 13; 28

1.3-211 §1.3 source ↗

In the following exercises, translate and simplify.

The difference of $100$ and $76$

Answer

100 − 76; 24

1.3-213 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Temperature The high temperature on June $2$ in Las Vegas was $80$ degrees and the low temperature was $63$ degrees. What was the difference between the high and low temperatures?

Answer

The difference between the high and low temperature was 17 degrees

1.3-215 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Class size Olivia’s third grade class has $35$ children. Last year, her second grade class had $22$ children. What is the difference between the number of children in Olivia’s third grade class and her second grade class?

Answer

The difference between the third grade and second grade was 13 children.

1.3-217 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Shopping A mountain bike is on sale for $$399 .$ Its regular price is $$650 .$ What is the difference between the regular price and the sale price?

Answer

The difference between the regular price and sale price is $251.

1.3-219 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Savings John wants to buy a laptop that costs $$840 .$ He has $$685$ in his savings account. How much more does he need to save in order to buy the laptop?

Answer

John needs to save $155 more.

1.3-221 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Road trip Noah was driving from Philadelphia to Cincinnati, a distance of $502$ miles. He drove $115$ miles, stopped for gas, and then drove another $230$ miles before lunch. How many more miles did he have to travel?

Answer

157 miles

1.3-223 §1.3 source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Explain how subtraction and addition are related.

Answer

Answers may vary.

Be Prepared 1.5 §1.4 source ↗

Add:

1,683 + 479 .

If you missed this problem, review Example 1.21.

Example 1.21 in the book ↗

Answer

2, 162

Be Prepared 1.6 §1.4 source ↗

Subtract:

605 - 321 .

If you missed this problem, review Example 1.33.

Example 1.33 in the book ↗

Answer

284

Try It 1.77 §1.4 source ↗

Translate from math notation to words:

ⓐ $8 \times 7$

ⓑ $18 \cdot 11$

Answer

ⓐ eight times seven ; the product of eight and seven

ⓑ eighteen times eleven ; the product of eighteen and eleven

Try It 1.78 §1.4 source ↗

Translate from math notation to words:

ⓐ $(13) (7)$

ⓑ $5 (16)$

Answer

ⓐ thirteen times seven ; the product of thirteen and seven

ⓑ five times sixteen; the product of five and sixteen

Try It 1.79 §1.4 source ↗

Model each multiplication:

4 \times 6 .

Answer

Try It 1.80 §1.4 source ↗

Model each multiplication:

5 \times 7 .

Answer

Try It 1.81 §1.4 source ↗

Find each product:

ⓐ $0 \cdot 19$

ⓑ $(39) 0$

Answer

ⓐ $0$

ⓑ $0$

Try It 1.82 §1.4 source ↗

Find each product:

ⓐ $0 \cdot 24$

ⓑ $(57) 0$

Answer

ⓐ $0$

ⓑ $0$

Try It 1.83 §1.4 source ↗

Find each product:

ⓐ $(19) 1$

ⓑ $1 \cdot 39$

Answer

ⓐ $19$

ⓑ $39$

Try It 1.84 §1.4 source ↗

Find each product:

ⓐ $(24) (1)$

ⓑ $1 \times 57$

Answer

ⓐ $24$

ⓑ $57$

Try It 1.85 §1.4 source ↗

Multiply:

ⓐ $9 \cdot 6$

ⓑ $6 \cdot 9$

Answer

54 and 54; both are the same.

Try It 1.86 §1.4 source ↗

Multiply:

ⓐ $8 \cdot 6$

ⓑ $6 \cdot 8$

Answer

48 and 48; both are the same.

Try It 1.87 §1.4 source ↗

Multiply:

64 \cdot 8 .

Answer

512

Try It 1.88 §1.4 source ↗

Multiply:

57 \cdot 6 .

Answer

342

Try It 1.89 §1.4 source ↗

Multiply:

347 \cdot 5 .

Answer

1,735

Try It 1.90 §1.4 source ↗

Multiply:

462 \cdot 7 .

Answer

3,234

Try It 1.91 §1.4 source ↗

Multiply:

43 (78) .

Answer

3,354

Try It 1.92 §1.4 source ↗

Multiply:

64 (59) .

Answer

3,776

Try It 1.93 §1.4 source ↗

Multiply:

ⓐ $54 \cdot 10$

ⓑ $54 \cdot 100 .$

Answer

ⓐ 540

ⓑ 5,400

Try It 1.94 §1.4 source ↗

Multiply:

ⓐ $75 \cdot 10$

ⓑ $75 \cdot 100 .$

Answer

ⓐ 750

ⓑ 7,500

Try It 1.95 §1.4 source ↗

Multiply:

(265) (483) .

Answer

127,995

Try It 1.96 §1.4 source ↗

Multiply:

(823) (794) .

Answer

653,462

Try It 1.97 §1.4 source ↗

Multiply:

(718) 509 .

Answer

365,462

Try It 1.98 §1.4 source ↗

Multiply:

(627) 804 .

Answer

504,108

Try It 1.99 §1.4 source ↗

Translate and simplify: the product of

13

and

28 .

Answer

13 · 28; 364

Try It 1.100 §1.4 source ↗

Translate and simplify: the product of

47

and

14 .

Answer

47 · 14; 658

Try It 1.101 §1.4 source ↗

Translate and simplify: twice one hundred sixty-seven.

Answer

2(167); 334

Try It 1.102 §1.4 source ↗

Translate and simplify: twice two hundred fifty-eight.

Answer

2(258); 516

Try It 1.103 §1.4 source ↗

Valia donated water for the snack bar at her son’s baseball game. She brought

6

cases of water bottles. Each case had

24

water bottles. How many water bottles did Valia donate?

Answer

Valia donated 144 water bottles.

Try It 1.104 §1.4 source ↗

Vanessa brought

8

packs of hot dogs to a family reunion. Each pack has

10

hot dogs. How many hot dogs did Vanessa bring?

Answer

Vanessa brought 80 hot dogs.

Try It 1.105 §1.4 source ↗

Erin is planning her flower garden. She wants to plant twice as many dahlias as sunflowers. If she plants 14 sunflowers, how many dahlias does she need?

Answer

Erin needs 28 dahlias.

Try It 1.106 §1.4 source ↗

A college choir has twice as many women as men. There are 18 men in the choir. How many women are in the choir?

Answer

There are 36 women in the choir.

Try It 1.107 §1.4 source ↗

Jane is tiling her living room floor. She will need 16 rows of tile, with 20 tiles in each row. How many tiles does she need for the living room floor?

Answer

Jane needs 320 tiles.

Try It 1.108 §1.4 source ↗

Yousef is putting shingles on his garage roof. He will need 24 rows of shingles, with 45 shingles in each row. How many shingles does he need for the garage roof?

Answer

Yousef needs 1,080 tiles.

Try It 1.109 §1.4 source ↗

Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?

Answer

The area of the rug is 40 square feet.

Try It 1.110 §1.4 source ↗

Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?

Answer

The area of the driveway is 900 square feet

1.4-225 §1.4 source ↗

Use Multiplication Notation

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

$4 \times 7$

Answer

four times seven; the product of four and seven

1.4-227 §1.4 source ↗

Use Multiplication Notation

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

$5 \cdot 12$

Answer

five times twelve; the product of five and twelve

1.4-229 §1.4 source ↗

Use Multiplication Notation

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

$(10) (25)$

Answer

ten times twenty-five; the product of ten and twenty-five

1.4-231 §1.4 source ↗

Use Multiplication Notation

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

$42 (33)$

Answer

forty-two times thirty-three; the product of forty-two and thirty-three

1.4-233 §1.4 source ↗

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

$3 \times 6$

Answer

1.4-235 §1.4 source ↗

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

$5 \times 9$

Answer

A rectangular array of 45 grey circles, arranged in 5 rows and 9 columns. Below the array, the multiplication equation '5 x 9 = 45' is displayed, illustrating the product of the rows and columns.

1.4-237 §1.4 source ↗

Multiply Whole Numbers

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

Answer

1.4-239 §1.4 source ↗

Multiply Whole Numbers

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

An image of a table with 8 columns and 7 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 “x; 4; 5; 6; 7; 8; 9”. The first row has the values “x; 3; 4; 5; 6; 7; 8; 9”.

Answer

An image of a table with 8 columns and 7 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.

1.4-241 §1.4 source ↗

Multiply Whole Numbers

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

Answer

1.4-243 §1.4 source ↗

Multiply Whole Numbers

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

PROD: 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 column has the values “x; 5; 6; 7; 8; 9”. The first row has the values “x; 5; 6; 7; 8; 9”.

Answer

A dark teal and grey multiplication table showing the products of numbers 5 through 9. The rows and columns are labeled with these numbers, and the grid displays their respective multiplication results.

1.4-245 §1.4 source ↗

In the following exercises, multiply.

$0 \cdot 15$

Answer

1.4-247 §1.4 source ↗

In the following exercises, multiply.

$(99) 0$

Answer

1.4-249 §1.4 source ↗

In the following exercises, multiply.

$1 \cdot 43$

Answer

1.4-251 §1.4 source ↗

In the following exercises, multiply.

$(28) 1$

Answer

1.4-253 §1.4 source ↗

In the following exercises, multiply.

$1 (240,055)$

Answer

240,055

1.4-255 §1.4 source ↗

In the following exercises, multiply.

ⓐ $7 \cdot 6$

ⓑ $6 \cdot 7$

Answer

ⓐ 42

ⓑ 42

1.4-257 §1.4 source ↗

In the following exercises, multiply.

$(79) (5)$

Answer

395

1.4-259 §1.4 source ↗

In the following exercises, multiply.

$275 \cdot 6$

Answer

1,650

1.4-261 §1.4 source ↗

In the following exercises, multiply.

$3,421 \times 7$

Answer

23,947

1.4-263 §1.4 source ↗

In the following exercises, multiply.

$52 (38)$

Answer

1,976

1.4-265 §1.4 source ↗

In the following exercises, multiply.

$96 \cdot 73$

Answer

7,008

1.4-267 §1.4 source ↗

In the following exercises, multiply.

$27 \times 85$

Answer

2,295

1.4-269 §1.4 source ↗

In the following exercises, multiply.

$23 \cdot 10$

Answer

230

1.4-271 §1.4 source ↗

In the following exercises, multiply.

$(100) (36)$

Answer

3,600

1.4-273 §1.4 source ↗

In the following exercises, multiply.

$1,000 (88)$

Answer

88,000

1.4-275 §1.4 source ↗

In the following exercises, multiply.

$50 \times 1,000,000$

Answer

50,000,000

1.4-277 §1.4 source ↗

In the following exercises, multiply.

$247 \times 139$

Answer

34,333

1.4-279 §1.4 source ↗

In the following exercises, multiply.

$586 (721)$

Answer

422,506

1.4-281 §1.4 source ↗

In the following exercises, multiply.

$915 \cdot 879$

Answer

804,285

1.4-283 §1.4 source ↗

In the following exercises, multiply.

$(104) (256)$

Answer

26,624

1.4-285 §1.4 source ↗

In the following exercises, multiply.

$348 (705)$

Answer

245,340

1.4-287 §1.4 source ↗

In the following exercises, multiply.

$2,719 \times 543$

Answer

1,476,417

1.4-289 §1.4 source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

the product of $18$ and $33$

Answer

18 · 33; 594

1.4-291 §1.4 source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

fifty-one times sixty-seven

Answer

51(67); 3,417

1.4-293 §1.4 source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

twice $249$

Answer

2(249); 498

1.4-295 §1.4 source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

ten times three hundred seventy-five

Answer

10(375); 3,750

1.4-297 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$38 \times 37$

Answer

1,406

1.4-299 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$415 - 267$

Answer

148

1.4-301 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$6,251 + 4,749$

Answer

11,000

1.4-303 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$(56) (204)$

Answer

11,424

1.4-305 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$947 \cdot 0$

Answer

1.4-307 §1.4 source ↗

Mixed Practice

In the following exercises, simplify.

$15,382 + 1$

Answer

15,383

1.4-309 §1.4 source ↗

In the following exercises, translate and simplify.

the difference of 50 and 18

Answer

50 − 18; 32

1.4-311 §1.4 source ↗

In the following exercises, translate and simplify.

twice 35

Answer

2(35); 70

1.4-313 §1.4 source ↗

In the following exercises, translate and simplify.

20 more than 980

Answer

20 + 980; 1,000

1.4-315 §1.4 source ↗

In the following exercises, translate and simplify.

the product of 12 and 875

Answer

12(875); 10,500

1.4-317 §1.4 source ↗

In the following exercises, translate and simplify.

subtract 74 from 89

Answer

89 − 74; 15

1.4-319 §1.4 source ↗

In the following exercises, translate and simplify.

the sum of 3,075 and 95

Answer

3,075 + 95; 3,170

1.4-321 §1.4 source ↗

In the following exercises, translate and simplify.

366 less than 814

Answer

814 − 366; 448

1.4-323 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Party supplies Tim brought 9 six-packs of soda to a club party. How many cans of soda did Tim bring?

Answer

Tim brought 54 cans of soda to the party.

1.4-325 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Field trip Seven school busses let off their students in front of a museum in Washington, DC. Each school bus had 44 students. How many students were there?

Answer

There were 308 students.

1.4-327 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Charity Rey donated 15 twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?

Answer

Rey donated 180 t-shirts.

1.4-329 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Recipe Stephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses 10 cups of club soda, how much fruit juice should she use?

Answer

Stephanie should use 20 cups of fruit juice.

1.4-331 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Government The United States Senate has twice as many senators as there are states in the United States. There are 50 states. How many senators are there in the United States Senate?

Answer

There are 100 senators in the U.S. senate.

1.4-333 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Painting Jane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area of the wall?

Answer

The area of the wall is 117 square feet.

1.4-335 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Room size The meeting room in a senior center is rectangular, with length 42 feet and width 34 feet. What is the area of the meeting room?

Answer

The area of the room is 1,428 square feet.

1.4-337 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

NCAA basketball According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?

Answer

The area of the court is 4,700 square feet.

1.4-339 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Stock market Javier owns 300 shares of stock in one company. On Tuesday, the stock price rose $$ 12$ per share. How much money did Javier’s portfolio gain?

Answer

Javier’s portfolio gained $3,600.

1.4-341 §1.4 source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

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

Answer

Answers will vary.

Be Prepared 1.7 §1.5 source ↗

Multiply:

27 \cdot 3 .

If you missed this problem, review Example 1.44.

Example 1.44 in the book ↗

Answer

81

Be Prepared 1.8 §1.5 source ↗

Subtract:

43 - 26 .

If you missed this problem, review Example 1.32

Example 1.32 in the book ↗

Answer

17

Be Prepared 1.9 §1.5 source ↗

Multiply:

62 (87) .

If you missed this problem, review Example 1.45.

Example 1.45 in the book ↗

Answer

5, 394

Try It 1.111 §1.5 source ↗

Translate from math notation to words:

ⓐ $84 \div 7$ ⓑ $\frac{18}{6}$ ⓒ $824$

Answer

ⓐ eighty-four divided by seven; the quotient of eighty-four and seven

ⓑ eighteen divided by six; the quotient of eighteen and six.

Try It 1.112 §1.5 source ↗

Translate from math notation to words:

ⓐ $72 \div 9$ ⓑ $\frac{21}{3}$ ⓒ $654$

Answer

ⓐ seventy-two divided by nine; the quotient of seventy-two and nine

ⓑ twenty-one divided by three; the quotient of twenty-one and three

Try It 1.113 §1.5 source ↗

Model:

24 \div 6 .

Answer

Four irregular shapes, each containing seven gray circles, arranged in a grid pattern.

Try It 1.114 §1.5 source ↗

Model:

42 \div 7 .

Answer

An illustration of six irregular shapes, each containing several smaller grey circles, arranged in a scattered pattern.

Try It 1.115 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $54 \div 6$ ⓑ $\frac{27}{9}$

Answer

ⓐ 9 ⓑ 3

Try It 1.116 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $\frac{36}{9}$ ⓑ $840$

Answer

ⓐ 4 ⓑ 5

Try It 1.117 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $14 \div 14$ ⓑ $\frac{27}{1}$

Answer

ⓐ 1

ⓑ 27

Try It 1.118 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $\frac{16}{1}$ ⓑ $14$

Answer

ⓐ 16

ⓑ 4

Try It 1.119 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $0 \div 2$ ⓑ $17 / 0$

Answer

ⓐ 0 ⓑ undefined

Try It 1.120 §1.5 source ↗

Divide. Then check by multiplying:

ⓐ $0 \div 6$ ⓑ $13 / 0$

Answer

ⓐ 0 ⓑ undefined

Try It 1.121 §1.5 source ↗

Divide. Then check by multiplying:

2,636 \div 4

Answer

659

Try It 1.122 §1.5 source ↗

Divide. Then check by multiplying:

2,716 \div 4

Answer

679

Try It 1.123 §1.5 source ↗

Divide. Then check by multiplying:

4,305 \div 5 .

Answer

861

Try It 1.124 §1.5 source ↗

Divide. Then check by multiplying:

3,906 \div 6 .

Answer

651

Try It 1.125 §1.5 source ↗

Divide. Then check by multiplying:

4,928 \div 7 .

Answer

704

Try It 1.126 §1.5 source ↗

Divide. Then check by multiplying:

5,663 \div 7 .

Answer

809

Try It 1.127 §1.5 source ↗

Divide. Then check by multiplying:

3,812 \div 8 .

Answer

476 with a remainder of 4

Try It 1.128 §1.5 source ↗

Divide. Then check by multiplying:

4,319 \div 8 .

Answer

539 with a remainder of 7

Try It 1.129 §1.5 source ↗

Divide. Then check by multiplying:

1,493 \div 13 .

Answer

114 R11

Try It 1.130 §1.5 source ↗

Divide. Then check by multiplying:

1,461 \div 12 .

Answer

121 R9

Try It 1.131 §1.5 source ↗

Divide. Then check by multiplying:

78,641 \div 256 .

Answer

307 R49

Try It 1.132 §1.5 source ↗

Divide. Then check by multiplying:

76,461 \div 248 .

Answer

308 R77

Try It 1.133 §1.5 source ↗

Translate and simplify: the quotient of

91

and

13 .

Answer

91 ÷ 13; 7

Try It 1.134 §1.5 source ↗

Translate and simplify: the quotient of

52

and

13 .

Answer

52 ÷ 13; 4

Try It 1.135 §1.5 source ↗

Marcus is setting out animal crackers for snacks at the preschool. He wants to put

9

crackers in each cup. One box of animal crackers contains

135

crackers. How many cups can he fill from one box of crackers?

Answer

Marcus can fill 15 cups.

Try It 1.136 §1.5 source ↗

Andrea is making bows for the girls in her dance class to wear at the recital. Each bow takes

4

feet of ribbon, and

36

feet of ribbon are on one spool. How many bows can Andrea make from one spool of ribbon?

Answer

Andrea can make 9 bows.

1.5-343 §1.5 source ↗

Use Division Notation

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

$54 \div 9$

Answer

fifty-four divided by nine; the quotient of fifty-four and nine

1.5-345 §1.5 source ↗

Use Division Notation

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

$\frac{32}{8}$

Answer

thirty-two divided by eight; the quotient of thirty-two and eight

1.5-347 §1.5 source ↗

Use Division Notation

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

$48 \div 6$

Answer

forty-eight divided by six; the quotient of forty-eight and six

1.5-349 §1.5 source ↗

Use Division Notation

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

$763$

Answer

sixty-three divided by seven; the quotient of sixty-three and seven

1.5-351 §1.5 source ↗

Model Division of Whole Numbers

In the following exercises, model the division.

$15 \div 5$

Answer

1.5-353 §1.5 source ↗

Model Division of Whole Numbers

In the following exercises, model the division.

$\frac{14}{7}$

Answer

1.5-355 §1.5 source ↗

Model Division of Whole Numbers

In the following exercises, model the division.

$420$

Answer

An illustration showing multiple clusters of gray circles, with each group enclosed by an irregular outline, representing data grouping or segmentation.

1.5-357 §1.5 source ↗

Model Division of Whole Numbers

In the following exercises, model the division.

$24 \div 6$

Answer

An illustration showing clusters of gray circles, with each group enclosed by an irregular outline, representing data grouping or segmentation.

1.5-359 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$18 \div 2$

Answer

1.5-361 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{27}{3}$

Answer

1.5-363 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$428$

Answer

1.5-365 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{45}{5}$

Answer

1.5-367 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$72 / 8$

Answer

1.5-369 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{35}{7}$

Answer

1.5-371 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$1515$

Answer

1.5-373 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$43 \div 43$

Answer

1.5-375 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{23}{1}$

Answer

1.5-377 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$19 \div 1$

Answer

1.5-379 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$0 \div 4$

Answer

1.5-381 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{5}{0}$

Answer

undefined

1.5-383 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{26}{0}$

Answer

undefined

1.5-385 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$120$

Answer

1.5-387 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$72 \div 3$

Answer

1.5-389 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{96}{8}$

Answer

1.5-391 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$5465$

Answer

1.5-393 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$924 \div 7$

Answer

132

1.5-395 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{5,226}{6}$

Answer

871

1.5-397 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$4 31,324$

Answer

7,831

1.5-399 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$7,209 \div 3$

Answer

2,403

1.5-401 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$5,406 \div 6$

Answer

901

1.5-403 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$4 2,816$

Answer

704

1.5-405 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{91,881}{9}$

Answer

10,209

1.5-407 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$2,470 \div 7$

Answer

352 R6

1.5-409 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$8 55,305$

Answer

6,913 R1

1.5-411 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{431,174}{5}$

Answer

86,234 R4

1.5-413 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$130,016 \div 3$

Answer

43,338 R2

1.5-415 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$15 5,735$

Answer

382 R5

1.5-417 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$56,883 \div 67$

Answer

849

1.5-419 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{30,144}{314}$

Answer

1.5-421 §1.5 source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$273 542,195$

Answer

1,986 R17

1.5-423 §1.5 source ↗

Mixed Practice

In the following exercises, simplify.

$15 (204)$

Answer

3,060

1.5-425 §1.5 source ↗

Mixed Practice

In the following exercises, simplify.

$256 - 184$

Answer

1.5-427 §1.5 source ↗

Mixed Practice

In the following exercises, simplify.

$719 + 341$

Answer

1,060

1.5-429 §1.5 source ↗

Mixed Practice

In the following exercises, simplify.

$25875$

Answer

1.5-431 §1.5 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

the quotient of $45$ and $15$

Answer

45 ÷ 15; 3

1.5-433 §1.5 source ↗

Translate Word Phrases to Algebraic Expressions

In the following exercises, translate and simplify.

the quotient of $288$ and $24$

Answer

288 ÷ 24; 12

1.5-435 §1.5 source ↗

Divide Whole Numbers in Applications

In the following exercises, solve.

Trail mix Ric bought $64$ ounces of trail mix. He wants to divide it into small bags, with $2$ ounces of trail mix in each bag. How many bags can Ric fill?

Answer

Ric can fill 32 bags.

1.5-437 §1.5 source ↗

Divide Whole Numbers in Applications

In the following exercises, solve.

Astronomy class There are $125$ students in an astronomy class. The professor assigns them into groups of $5 .$ How many groups of students are there?

Answer

There are 25 groups.

1.5-439 §1.5 source ↗

Divide Whole Numbers in Applications

In the following exercises, solve.

Baking One roll of plastic wrap is $48$ feet long. Marta uses $3$ feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?

Answer

Marta can wrap 16 cakes from 1 roll.

1.5-441 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Miles per gallon Susana’s hybrid car gets $45$ miles per gallon. Her son’s truck gets $17$ miles per gallon. What is the difference in miles per gallon between Susana’s car and her son’s truck?

Answer

The difference is 28 miles per gallon.

1.5-443 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Field trip The $45$ students in a Geology class will go on a field trip, using the college’s vans. Each van can hold $9$ students. How many vans will they need for the field trip?

Answer

They will need 5 vans for the field trip

1.5-445 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Hiking Bill hiked $8$ miles on the first day of his backpacking trip, $14$ miles the second day, $11$ miles the third day, and $17$ miles the fourth day. What is the total number of miles Bill hiked?

Answer

Bill hiked 50 miles

1.5-447 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Patients LaVonne treats $12$ patients each day in her dental office. Last week she worked $4$ days. How many patients did she treat last week?

Answer

LaVonne treated 48 patients last week.

1.5-449 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Contact lenses Jenna puts in a new pair of contact lenses every $14$ days. How many pairs of contact lenses does she need for $365$ days?

Answer

Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days.

1.5-451 §1.5 source ↗

Mixed Practice

In the following exercises, solve.

Explain how you use the multiplication facts to help with division.

Answer

Answers may vary. Using multiplication facts can help you check your answers once you’ve finished division.

1.R-453 §1.R source ↗

Identify Counting Numbers and Whole Numbers

In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.

$0, 2, 99$

Answer

ⓐ 2, 99

ⓑ 0, 2, 99

1.R-455 §1.R source ↗

Identify Counting Numbers and Whole Numbers

In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.

$0, 4, 90$

Answer

ⓐ 4, 90

ⓑ 0, 4, 90

1.R-457 §1.R source ↗

Model Whole Numbers

In the following exercises, model each number using $base-10$ blocks and then show its value using place value notation.

258

Answer

The image shows sets of hundred blocks, sets of blocks of 10, and single blocks. Below, the types of blocks and their total values are organized in a table with a total block values.

1.R-459 §1.R source ↗

Identify the Place Value of a Digit

In the following exercises, find the place value of the given digits.

$472,981$

ⓐ $8$

ⓑ $4$

ⓓ $7$

ⓔ $2$

Answer

ⓐ tens

ⓑ hundred thousands

ⓓ ten thousands

ⓔ thousands

1.R-461 §1.R source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$5,280$

Answer

Five thousand, two hundred eighty

1.R-463 §1.R source ↗

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

$5,012,582$

Answer

Five million, twelve thousand, five hundred eighty-two

1.R-466 §1.R source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write as a whole number using digits.

fifteen thousand, two hundred fifty-three

Answer

15,253

1.R-467 §1.R source ↗

Use Place Value to Write Whole Numbers

In the following exercises, write as a whole number using digits.

three hundred forty million, nine hundred twelve thousand, sixty-one

Answer

340,912,061

1.R-469 §1.R source ↗

Round Whole Numbers

In the following exercises, round to the nearest ten.

$412$

Answer

410

1.R-471 §1.R source ↗

Round Whole Numbers

In the following exercises, round to the nearest ten.

$3,556$

Answer

3,560

1.R-473 §1.R source ↗

In the following exercises, round to the nearest hundred.

$38,975$

Answer

39,000

1.R-475 §1.R source ↗

In the following exercises, round to the nearest hundred.

$81,486$

Answer

81,500

1.R-477 §1.R source ↗

Use Addition Notation

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

$4 + 3$

Answer

four plus three; the sum of four and three

1.R-479 §1.R source ↗

Use Addition Notation

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

$571 + 629$

Answer

five hundred seventy-one plus six hundred twenty-nine; the sum of five hundred seventy-one and six hundred twenty-nine

1.R-481 §1.R source ↗

Model Addition of Whole Numbers

In the following exercises, model the addition.

$6 + 7$

Answer

1.R-483 §1.R source ↗

Add Whole Numbers

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

A table with 11 rows down and 11 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0,0, 1, null, 3, 4, null, 6, 7, null, 9. The numbers across in the third row down appear as follows: 1, 1, 2, 3, 4, null, null, 7, 8, 9, null. The numbers in the fourth row down appear across as follows: 2, null, 3,4,5,6,7,8, null, 10, 11. The numbers across in the fifth row down appear as follows: 3, 3, null, 5, null, 7, 8, null, 10, null 12. The numbers across in the sixth row down appear as follows: 4, 4, 5, null, null, 8, 9,null, null, 12, null. The numbers across in the seventh row down appear as follows: 5, 5, null, 7, 8, null null, 11, null, 13, null. The numbers across in the eighth row down appear as follows:6, 6, 7, 8, null, 10, null, null, 13, null, 15. The numbers across in the ninth row down appear as follows: null, null, 9, null, null, 12, 13, null, 15, 16. The numbers across in the tenth row down appear as follows: 8,8,9,null, 11, null, null, 14, null, eleventh row down appear as follows: 9, 9, 10, 11, null, 13, 14, null, null, 17, null.

Answer

A clear and simple addition table showing the sums of numbers from 0 to 9. It's a fundamental tool for understanding basic arithmetic and number relationships in a grid format.

1.R-485 §1.R source ↗

In the following exercises, add.

ⓐ $0 + 19$ ⓑ $19 + 0$

Answer

ⓐ 19

ⓑ 19

1.R-487 §1.R source ↗

In the following exercises, add.

ⓐ $7 + 6$ ⓑ $6 + 7$

Answer

ⓐ 13

ⓑ 13

1.R-489 §1.R source ↗

In the following exercises, add.

$44 + 35$

Answer

1.R-491 §1.R source ↗

In the following exercises, add.

$96 + 58$

Answer

154

1.R-493 §1.R source ↗

In the following exercises, add.

$7,281 +$ $12,546$

Answer

19,827

1.R-495 §1.R source ↗

Translate Word Phrases to Math Notation

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

the sum of $30$ and $12$

Answer

30 + 12; 42

1.R-497 §1.R source ↗

Translate Word Phrases to Math Notation

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

$25$ more than $39$

Answer

39 + 25; 64

1.R-499 §1.R source ↗

Add Whole Numbers in Applications

In the following exercises, solve.

Shopping for an interview Nathan bought a new shirt, tie, and slacks to wear to a job interview. The shirt cost $$24,$ the tie cost $$14,$ and the slacks cost $$38.$ What was Nathan’s total cost?

Answer

$76

1.R-501 §1.R source ↗

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

Answer

46 feet

1.R-503 §1.R source ↗

Use Subtraction Notation

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

$14 - 5$

Answer

fourteen minus five; the difference of fourteen and five

1.R-505 §1.R source ↗

Use Subtraction Notation

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

$351 - 249$

Answer

three hundred fifty-one minus two hundred forty-nine; the difference between three hundred fifty-one and two hundred forty-nine

1.R-507 §1.R source ↗

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

$18 - 4$

Answer

1.R-509 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$8 - 5$

Answer

1.R-511 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$23 - 9$

Answer

1.R-513 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$82 - 59$

Answer

1.R-515 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$539 - 217$

Answer

322

1.R-517 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$1,020 - 640$

Answer

380

1.R-519 §1.R source ↗

Subtract Whole Numbers

In the following exercises, subtract and then check by adding.

$1 0,000 - 15$

Answer

9,985

1.R-521 §1.R source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

the difference of nineteen and thirteen

Answer

19 − 13; 6

1.R-523 §1.R source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

seventy-four decreased by eight

Answer

74 − 8; 66

1.R-525 §1.R source ↗

Subtract Whole Numbers in Applications

In the following exercises, solve.

Temperature The high temperature in Peoria one day was $86$ degrees Fahrenheit and the low temperature was $28$ degrees Fahrenheit. What was the difference between the high and low temperatures?

Answer

58 degrees Fahrenheit

1.R-527 §1.R source ↗

Use Multiplication Notation

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

$8 \times 5$

Answer

eight times five; the product of eight and five

1.R-529 §1.R source ↗

Use Multiplication Notation

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

$(10) (95)$

Answer

ten times ninety-five; the product of ten and ninety-five

1.R-531 §1.R source ↗

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

$2 \times 4$

Answer

1.R-533 §1.R source ↗

Multiply Whole Numbers

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

A table with 10 rows down and 10 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0, 0, 0, 0, 0, 0, null, 0, null, 0,0. The numbers across in the third row down appear as follows: 1, 0, 1, 2, null, 4, 5, 6, 7, null, 9. The numbers across in the fourth row down appear as follows: 2, 0, null, 4, null, 8, 10, null, 14, 16, null. The numbers across in the fifth row down appear as follows: 3, null, 3, null, 9, null, null, 18, null, 24, null. The numbers across in the sixth row down appear as follows: 4, 0, 4, 0, 12, null, null, 24, null, null, 36. The numbers across in the seventh row down appear as follows:5, 0, 5, 10, null, 20, null, 30, 35, 40, 45. The numbers across in the eighth row down appear as follows: 6, null, null, 12, 18, null, null, 36, 42, null, 54. The numbers across in the ninth row down appear as follows: 7, 0, 7, null, 21, null, 35, null, null, 56, 63. The numbers in the tenth row down appear as follows: 8, 0, 8, 16, null, 32, null, 48, null, 64, null. The numbers in the eleventh row down appear across as follows: 9, null, null, 18, 27, 36, null, null, 63, 72, null.

Answer

A multiplication table from 0x0 to 9x9, displaying the product of each row and column intersection. The table is shaded with alternating light and dark grey rows for readability. Perfect for learning basic math.

1.R-535 §1.R source ↗

In the following exercises, multiply.

$0 \cdot 14$

Answer

1.R-537 §1.R source ↗

In the following exercises, multiply.

$1 \cdot 99$

Answer

1.R-539 §1.R source ↗

In the following exercises, multiply.

ⓐ $7 \cdot 4$ ⓑ $4 \cdot 7$

Answer

ⓐ 28

ⓑ 28

1.R-541 §1.R source ↗

In the following exercises, multiply.

$9,261 \times 3$

Answer

27,783

1.R-543 §1.R source ↗

In the following exercises, multiply.

$64 \cdot 10$

Answer

640

1.R-545 §1.R source ↗

In the following exercises, multiply.

$162 \times 493$

Answer

79,866

1.R-547 §1.R source ↗

In the following exercises, multiply.

$3,624 \times 517$

Answer

1,873,608

1.R-549 §1.R source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

the product of $15$ and $28$

Answer

15(28); 420

1.R-551 §1.R source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

twice $575$

Answer

2(575); 1,150

1.R-553 §1.R source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Gardening Geniece bought $8$ packs of marigolds to plant in her yard. Each pack has $6$ flowers. How many marigolds did Geniece buy?

Answer

48 marigolds

1.R-555 §1.R source ↗

Multiply Whole Numbers in Applications

In the following exercises, solve.

Multiplex There are twelve theaters at the multiplex and each theater has $150$ seats. What is the total number of seats at the multiplex?

Answer

1,800 seats

1.R-557 §1.R source ↗

Use Division Notation

Translate from math notation to words.

$54 \div 9$

Answer

fifty-four divided by nine; the quotient of fifty-four and nine

1.R-559 §1.R source ↗

Use Division Notation

Translate from math notation to words.

$\frac{72}{8}$

Answer

seventy-two divided by eight; the quotient of seventy-two and eight

1.R-561 §1.R source ↗

Model Division of Whole Numbers

In the following exercises, model.

$8 \div 2$

Answer

1.R-563 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$14 \div 2$

Answer

1.R-565 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$52 \div 4$

Answer

1.R-567 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{97}{1}$

Answer

1.R-569 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$100 \div 0$

Answer

undefined

1.R-571 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$3828 \div 6$

Answer

638

1.R-573 §1.R source ↗

Divide Whole Numbers

In the following exercises, divide. Then check by multiplying.

$\frac{7505}{25}$

Answer

300 R5

1.R-575 §1.R source ↗

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

the quotient of $64$ and $16$

Answer

64 ÷ 16; 4

1.R-577 §1.R source ↗

Divide Whole Numbers in Applications

In the following exercises, solve.

Ribbon One spool of ribbon is $27$ feet. Lizbeth uses $3$ feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?

Answer

9 baskets

1.T-579 §1.T source ↗

Determine which of the following numbers are

ⓐ counting numbers

ⓑ whole numbers.

$0, 4, 87$

Answer

ⓐ 4, 87

ⓑ 0, 4, 87

1.T-581 §1.T source ↗

Write each number as a whole number using digits.

ⓐ six hundred thirteen

ⓑ fifty-five thousand two hundred eight

Answer

ⓐ 613

ⓑ 55,208

1.T-583 §1.T source ↗

Simplify.

$45 + 23$

Answer

1.T-585 §1.T source ↗

Simplify.

$85 \div 5$

Answer

1.T-587 §1.T source ↗

Simplify.

$90 - 58$

Answer

1.T-589 §1.T source ↗

Simplify.

$(0) (12,675)$

Answer

1.T-591 §1.T source ↗

Simplify.

$\frac{0}{9}$

Answer

1.T-593 §1.T source ↗

Simplify.

$145 - 79$

Answer

1.T-595 §1.T source ↗

Simplify.

$7 \cdot 475$

Answer

3,325

1.T-597 §1.T source ↗

Simplify.

$35 (14)$

Answer

490

1.T-599 §1.T source ↗

Simplify.

$733 - 291$

Answer

442

1.T-601 §1.T source ↗

Simplify.

$495 \div 45$

Answer

1.T-603 §1.T source ↗

Translate each phrase to math notation and then simplify.

The sum of $16$ and $58$

Answer

16 + 58; 74

1.T-605 §1.T source ↗

Translate each phrase to math notation and then simplify.

The difference of $32$ and $18$

Answer

32 − 18; 14

1.T-607 §1.T source ↗

Translate each phrase to math notation and then simplify.

Twice $524$

Answer

2(524); 1,048

1.T-609 §1.T source ↗

Translate each phrase to math notation and then simplify.

$50$ less than $300$

Answer

300 − 50; 250

1.T-611 §1.T source ↗

In the following exercises, solve.

Last month, Stan’s take-home pay was $$3,816$ and his expenses were $$3,472.$ How much of his take-home pay did Stan have left after he paid his expenses?

Answer

Stan had $344 left.

1.T-613 §1.T source ↗

In the following exercises, solve.

Clayton walked $12$ blocks to his mother’s house, $6$ blocks to the gym, and $9$ blocks to the grocery store before walking the last $3$ blocks home. What was the total number of blocks that Clayton walked?

Answer

Clayton walked 30 blocks.

Loading chapter 2…

Problems and answers are adapted from Prealgebra 2e by Lynn Marecek, MaryAnne Anthony-Smith and Andrea Honeycutt Mathis, OpenStax, and are used under the CC BY-NC-SA 4.0 licence. Access for free at https://openstax.org/books/prealgebra-2e/pages/1-introduction. Illustrations: Copyright Rice University, OpenStax, under CC BY-NC-SA 4.0 license. This adaptation is released under the same licence, is non-commercial, and is neither affiliated with nor endorsed by OpenStax or Rice University.