Ch. 1 Review Exercises - Prealgebra

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.

453.

$0, 2, 99$

454.

$0, 3, 25$

455.

$0, 4, 90$

456.

$0, 1, 75$

Model Whole Numbers

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

457.

258

458.

104

Identify the Place Value of a Digit

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

459.

$472,981$

ⓐ $8$
ⓑ $4$
ⓒ $1$
ⓓ $7$
ⓔ $2$

460.

$12,403,295$

ⓐ $4$
ⓑ $0$
ⓒ $1$
ⓓ $9$
ⓔ $3$

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

461.

$5,280$

462.

$204,614$

463.

$5,012,582$

464.

$31,640,976$

Use Place Value to Write Whole Numbers

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

465.

six hundred two

466.

fifteen thousand, two hundred fifty-three

467.

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

468.

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

Round Whole Numbers

In the following exercises, round to the nearest ten.

469.

$412$

470.

$648$

471.

$3,556$

472.

$2,734$

In the following exercises, round to the nearest hundred.

473.

$38,975$

474.

$26,849$

475.

$81,486$

476.

$75,992$

Add Whole Numbers

Use Addition Notation

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

477.

$4 + 3$

478.

$25 + 18$

479.

$571 + 629$

480.

$10,085 + 3,492$

Model Addition of Whole Numbers

In the following exercises, model the addition.

481.

$6 + 7$

482.

$38 + 14$

Add Whole Numbers

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

483.

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.

484.

This table is 5 rows and 8 columns. The top row is a header row and includes the numbers 3 through 9, one number to each cell. The rows down include 6, 7, 8, and 9. There is a plus sign in the first cell. All cells are null.

In the following exercises, add.

485.

ⓐ $0 + 19$ ⓑ $19 + 0$

486.

ⓐ $0 + 480$ ⓑ $480 + 0$

487.

ⓐ $7 + 6$ ⓑ $6 + 7$

488.

ⓐ $23 + 18$ ⓑ $18 + 23$

489.

$44 + 35$

490.

$63 + 29$

491.

$96 + 58$

492.

$375 + 591$

493.

$7,281 + 12,546$

494.

$5,280 + 16,324 + 9,731$

Translate Word Phrases to Math Notation

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

495.

the sum of $30$ and $12$

496.

$11$ increased by $8$

497.

$25$ more than $39$

498.

total of $15$ and $50$

Add Whole Numbers in Applications

In the following exercises, solve.

499.

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?

500.

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.

501.

An image of a rectangle that is 8 feet tall and 15 feet wide.

502.

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

Subtract Whole Numbers

Use Subtraction Notation

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

503.

$14 - 5$

504.

$40 - 15$

505.

$351 - 249$

506.

$5,724 - 2,918$

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

507.

$18 - 4$

508.

$41 - 29$

Subtract Whole Numbers

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

509.

$8 - 5$

510.

$12 - 7$

511.

$23 - 9$

512.

$46 - 21$

513.

$82 - 59$

514.

$110 - 87$

515.

$539 - 217$

516.

$415 - 296$

517.

$1,020 - 640$

518.

$8,355 - 3,947$

519.

$1 0,000 - 15$

520.

$54,925 - 35,647$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

521.

the difference of nineteen and thirteen

522.

subtract sixty-five from one hundred

523.

seventy-four decreased by eight

524.

twenty-three less than forty-one

Subtract Whole Numbers in Applications

In the following exercises, solve.

525.

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?

526.

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?

Multiply Whole Numbers

Use Multiplication Notation

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

527.

$8 \times 5$

528.

$6 \cdot 14$

529.

$(10) (95)$

530.

$54 (72)$

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

531.

$2 \times 4$

532.

$3 \times 8$

Multiply Whole Numbers

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

533.

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.

534.

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 first row has the values “x; 3; 4; 5; 6; 7; 8; 9”. The first column has the values “x; 6; 7; 8; 9”. All other cells are null.

In the following exercises, multiply.

535.

$0 \cdot 14$

536.

$(256) 0$

537.

$1 \cdot 99$

538.

$(4,789) 1$

539.

ⓐ $7 \cdot 4$ ⓑ $4 \cdot 7$

540.

$(25) (6)$

541.

$9,261 \times 3$

542.

$48 \cdot 76$

543.

$64 \cdot 10$

544.

$1,000 (22)$

545.

$162 \times 493$

546.

$(601) (943)$

547.

$3,624 \times 517$

548.

$10,538 \cdot 22$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

549.

the product of $15$ and $28$

550.

ninety-four times thirty-three

551.

twice $575$

552.

ten times two hundred sixty-four

Multiply Whole Numbers in Applications

In the following exercises, solve.

553.

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

554.

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?

555.

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

556.

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.

557.

$54 \div 9$

558.

$42 / 7$

559.

$\frac{72}{8}$

560.

$648$

Model Division of Whole Numbers

In the following exercises, model.

561.

$8 \div 2$

562.

$312$

Divide Whole Numbers

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

563.

$14 \div 2$

564.

$\frac{32}{8}$

565.

$52 \div 4$

566.

$2626$

567.

$\frac{97}{1}$

568.

$0 \div 52$

569.

$100 \div 0$

570.

$\frac{355}{5}$

571.

$3828 \div 6$

572.

$31 1,519$

573.

$\frac{7505}{25}$

574.

$5,166 \div 42$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

575.

the quotient of $64$ and $16$

576.

the quotient of $572$ and $52$

Divide Whole Numbers in Applications

In the following exercises, solve.

577.

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?

578.

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