### Review Exercises

## Introduction to Whole Numbers

**Identify Counting Numbers and Whole Numbers**

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

$0,3,25$

$0,1,75$

**Model Whole Numbers**

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

104

**Identify the Place Value of a Digit**

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

$\mathrm{12,403,295}$

- ⓐ $4$
- ⓑ $0$
- ⓒ $1$
- ⓓ $9$
- ⓔ $3$

**Use Place Value to Name Whole Numbers**

In the following exercises, name each number in words.

$\mathrm{204,614}$

$\mathrm{31,640,976}$

**Use Place Value to Write Whole Numbers**

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

six hundred two

two billion, four hundred ninety-two million, seven hundred eleven thousand, two

**Round Whole Numbers**

In the following exercises, round to the nearest ten.

$648$

$\mathrm{2,734}$

In the following exercises, round to the nearest hundred.

$\mathrm{26,849}$

$\mathrm{75,992}$

## Add Whole Numbers

**Use Addition Notation**

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

$25+18$

$\mathrm{10,085}+\mathrm{3,492}$

**Model Addition of Whole Numbers**

In the following exercises, model the addition.

$38+14$

**Add Whole Numbers**

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

In the following exercises, add.

ⓐ $0+480$ ⓑ $480+0$

ⓐ $23+18$ ⓑ $18+23$

$63+29$

$375+591$

$\mathrm{5,280}+\mathrm{16,324}+\mathrm{9,731}$

**Translate Word Phrases to Math Notation**

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

$11$ increased by $8$

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 $\text{\$24,}$ the tie cost $\text{\$14,}$ and the slacks cost $\text{\$38.}$ 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.

## Subtract Whole Numbers

**Use Subtraction Notation**

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

$40-15$

$\mathrm{5,724}-\mathrm{2,918}$

**Model Subtraction of Whole Numbers**

In the following exercises, model the subtraction.

$41-29$

**Subtract Whole Numbers**

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

$12-7$

$46-21$

$110-87$

$415-296$

$\mathrm{8,355}-\mathrm{3,947}$

$\mathrm{54,925}-\mathrm{35,647}$

**Translate Word Phrases to Math Notation**

In the following exercises, translate and simplify.

subtract sixty-five from one hundred

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 $\text{\$2,485.}$ She has $\text{\$948}$ in her vacation savings account. How much more does she need to save in order to pay for the cruise?

## Multiply Whole Numbers

**Use Multiplication Notation**

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

$6\xb714$

$54\left(72\right)$

**Model Multiplication of Whole Numbers**

In the following exercises, model the multiplication.

$3\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}8$

**Multiply Whole Numbers**

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

In the following exercises, multiply.

$\left(256\right)0$

$\left(\mathrm{4,789}\right)1$

$\left(25\right)\left(6\right)$

$48\xb776$

$\mathrm{1,000}\left(22\right)$

$\left(601\right)\left(943\right)$

$\mathrm{10,538}\xb722$

**Translate Word Phrases to Math Notation**

In the following exercises, translate and simplify.

ninety-four times thirty-three

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?

## Divide Whole Numbers

**Use Division Notation**

Translate from math notation to words.

$42/7$

$6\overline{)48}$

**Model Division of Whole Numbers**

In the following exercises, model.

$3\overline{)12}$

**Divide Whole Numbers**

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

$\frac{32}{8}$

$26\overline{)26}$

$0\xf752$

$\frac{355}{5}$

$31\overline{)\mathrm{1,519}}$

$\mathrm{5,166}\xf742$

**Translate Word Phrases to Math Notation**

In the following exercises, translate and simplify.

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?