# 1.11: Whole Numbers (Exercises)

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## 1.1 - Introduction to Whole Numbers

### Identify Counting Numbers and Whole Numbers

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

- 0, 2, 99
- 0, 3, 25
- 0, 4, 90
- 0, 1, 75

### Model Whole Numbers

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

- 258
- 104

### Identify the Place Value of a Digit

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

- 472,981

(a) 8 (b) 4 (c) 1 (d) 7 (e) 2

- 12,403,295

(a) 4 (b) 0 (c) 1 (d) 9 (e) 3

### Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

- 5,280
- 204,614
- 5,012,582
- 31,640,976

### Use Place Value to Write Whole Numbers

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

- six hundred two
- fifteen thousand, two hundred fifty-three
- three hundred forty million, nine hundred twelve thousand, sixty-one
- two billion, four hundred ninety-two million, seven hundred eleven thousand, two

### Round Whole Numbers

In the following exercises, round to the nearest ten.

- 412
- 648
- 3,556
- 2,734

In the following exercises, round to the nearest hundred.

- 38,975
- 26,849
- 81,486
- 75,992

## 1.2 - Add Whole Numbers

### Use Addition Notation

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

- 4 + 3
- 25 + 18
- 571 + 629
- 10,085 + 3,492

### Model Addition of Whole Numbers

In the following exercises, model the addition.

- 6 + 7
- 38 + 14

### Add Whole Numbers

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

In the following exercises, add.

- (a) 0 + 19 (b) 19 + 0
- (a) 0 + 480 (b) 480 + 0
- (a) 7 + 6 (b) 6 + 7
- (a) 23 + 18 (b) 18 + 23
- 44 + 35
- 63 + 29
- 96 + 58
- 375 + 591
- 7,281 + 12,546
- 5,280 + 16,324 + 9,731

### 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
- 11 increased by 8
- 25 more than 39
- total of 15 and 50

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?**Running**Jackson ran 4 miles on Monday, 12 miles on Tuesday, 1 mile on Wednesday, 8 miles on Thursday, and 5 miles on Friday. What was the total number of miles Jackson ran?

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

## 1.3 - Subtract Whole Numbers

### Use Subtraction Notation

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

- 14 − 5
- 40 − 15
- 351 − 249
- 5,724 − 2,918

### Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

- 18 − 4
- 41 − 29

### Subtract Whole Numbers

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

- 8 − 5
- 12 − 7
- 23 − 9
- . 46 − 21
- 82 − 59
- 110 − 87
- 539 − 217
- 415 − 296
- 1,020 − 640
- 8,355 − 3,947
- 10,000 − 15
- 54,925 − 35,647

### Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

- the difference of nineteen and thirteen
- subtract sixty-five from one hundred
- seventy-four decreased by eight
- twenty-three less than forty-one

### 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?**Savings**Lynn wants to go on a cruise that costs $2,485. She has $948 in her vacation savings account. How much more does she need to save in order to pay for the cruise?

## 1.4 - Multiply Whole Numbers

### Use Multiplication Notation

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

- 8 × 5
- 6 • 14
- (10)(95)
- 54(72)

### Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

- 2 × 4
- 3 × 8

### Multiply Whole Numbers

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

In the following exercises, multiply.

- 0 • 14
- (256)0
- 1 • 99
- (4,789)1
- (a) 7 • 4 (b) 4 • 7
- (25)(6)
- 9,261 × 3
- 48 • 76
- 64 • 10
- 1,000(22)
- 162 × 493
- (601)(943)
- 3,624 × 517
- 10,538 • 22

### Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

- the product of 15 and 28
- ninety-four times thirty-three
- twice 575
- ten times two hundred sixty-four

### 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?**Cooking**Ratika is making rice for a dinner party. The number of cups of water is twice the number of cups of rice. If Ratika plans to use 4 cups of rice, how many cups of water does she need?**Multiplex**There are twelve theaters at the multiplex and each theater has 150 seats. What is the total number of seats at the multiplex?**Roofing**Lewis needs to put new shingles on his roof. The roof is a rectangle, 30 feet by 24 feet. What is the area of the roof?

## 1.5 - Divide Whole Numbers

### Use Division Notation

Translate from math notation to words.

- 54 ÷ 9
- 42 / 7
- \(\dfrac{72}{8}\)
- \(6 \overline{\smash{)}48}\)

### Model Division of Whole Numbers

In the following exercises, model.

- 8 ÷ 2
- \(3 \overline{\smash{)}12}\)

### Divide Whole Numbers

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

- 14 ÷ 2
- \(\dfrac{32}{8}\)
- 52 ÷ 4
- \(26 \overline{\smash{)}26}\)
- \(\dfrac{97}{1}\)
- 0 ÷ 52
- 100 ÷ 0
- \(\dfrac{355}{5}\)
- 3828 ÷ 6
- \(31 \overline{\smash{)}1,519}\)
- \(\dfrac{7505}{25}\)
- 5,166 ÷ 42

### Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

- the quotient of 64 and 16
- the quotient of 572 and 52

### 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?**Juice**One carton of fruit juice is 128 ounces. How many 4 ounce cups can Shayla fill from one carton of juice?

## PRACTICE TEST

- Determine which of the following numbers are (a) counting numbers (b) whole numbers. $$0, 4, 87$$
- Find the place value of the given digits in the number 549,362.

(a) 9 (b) 6 (c) 2 (d) 5

- Write each number as a whole number using digits.

(a) six hundred thirteen (b) fifty-five thousand two hundred eight

- Round 25,849 to the nearest hundred.

Simplify.

- 45 + 23
- 65 − 42
- 85 ÷ 5
- 1,000 × 8
- 90 − 58
- 73 + 89
- (0)(12,675)
- 634 + 255
- \(\dfrac{0}{9}\)
- \(8 \overline{\smash{)}128}\)
- 145 − 79
- 299 + 836
- 7 • 475
- 8,528 + 704
- 35(14)
- \(\dfrac{26}{0}\)
- 733 − 291
- 4,916 − 1,538
- 495 ÷ 45
- 52 × 983

Translate each phrase to math notation and then simplify.

- The sum of 16 and 58
- The product of 9 and 15
- The difference of 32 and 18
- The quotient of 63 and 21
- Twice 524
- 29 more than 32
- 50 less than 300

In the following exercises, solve.

- LaVelle buys a jumbo bag of 84 candies to make favor bags for her son’s party. If she wants to make 12 bags, how many candies should she put in each bag?
- 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?
- Each class at Greenville School has 22 children enrolled. The school has 24 classes. How many children are enrolled at Greenville School?
- 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?