Prealgebra

# Review Exercises

PrealgebraReview 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.

$0 , 2 , 99 0 , 2 , 99$

454.

$0 , 3 , 25 0 , 3 , 25$

455.

$0 , 4 , 90 0 , 4 , 90$

456.

$0 , 1 , 75 0 , 1 , 75$

Model Whole Numbers

In the following exercises, model each number using $base-10base-10$ 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.

$472,981 472,981$

1. $88$
2. $44$
3. $11$
4. $77$
5. $22$
460.

$12,403,295 12,403,295$

1. $44$
2. $00$
3. $11$
4. $99$
5. $33$

Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

461.

$5,280 5,280$

462.

$204,614 204,614$

463.

$5,012,582 5,012,582$

464.

$31,640,976 31,640,976$

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.

$412 412$

470.

$648 648$

471.

$3,556 3,556$

472.

$2,734 2,734$

In the following exercises, round to the nearest hundred.

473.

$38,975 38,975$

474.

$26,849 26,849$

475.

$81,486 81,486$

476.

$75,992 75,992$

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

477.

$4 + 3 4 + 3$

478.

$25 + 18 25 + 18$

479.

$571 + 629 571 + 629$

480.

$10,085 + 3,492 10,085 + 3,492$

In the following exercises, model the addition.

481.

$6 + 7 6 + 7$

482.

$38 + 14 38 + 14$

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

483.
484.

485.

$0+190+19$ $19+019+0$

486.

$0+4800+480$ $480+0480+0$

487.

$7+67+6$ $6+76+7$

488.

$23+1823+18$ $18+2318+23$

489.

$44 + 35 44 + 35$

490.

$63 + 29 63 + 29$

491.

$96 + 58 96 + 58$

492.

$375 + 591 375 + 591$

493.

$7,281 + 12,546 7,281 + 12,546$

494.

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

Translate Word Phrases to Math Notation

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

495.

the sum of $3030$ and $1212$

496.

$1111$ increased by $88$

497.

$2525$ more than $3939$

498.

total of $1515$ and $5050$

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 $24,24,$ the tie cost $14,14,$ and the slacks cost $38.38.$ What was Nathan’s total cost?

500.

Running Jackson ran $44$ miles on Monday, $1212$ miles on Tuesday, $11$ mile on Wednesday, $88$ miles on Thursday, and $55$ miles on Friday. What was the total number of miles Jackson ran?

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

501.
502.

## Subtract Whole Numbers

Use Subtraction Notation

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

503.

$14 − 5 14 − 5$

504.

$40 − 15 40 − 15$

505.

$351 − 249 351 − 249$

506.

$5,724 − 2,918 5,724 − 2,918$

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

507.

$18 − 4 18 − 4$

508.

$41 − 29 41 − 29$

Subtract Whole Numbers

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

509.

$8 − 5 8 − 5$

510.

$12 − 7 12 − 7$

511.

$23 − 9 23 − 9$

512.

$46 − 21 46 − 21$

513.

$82 − 59 82 − 59$

514.

$110 − 87 110 − 87$

515.

$539 − 217 539 − 217$

516.

$415 − 296 415 − 296$

517.

$1,020 − 640 1,020 − 640$

518.

$8,355 − 3,947 8,355 − 3,947$

519.

$1 0,000 − 15 1 0,000 − 15$

520.

$54,925 − 35,647 54,925 − 35,647$

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 $8686$ degrees Fahrenheit and the low temperature was $2828$ degrees Fahrenheit. What was the difference between the high and low temperatures?

526.

Savings Lynn wants to go on a cruise that costs $2,485.2,485.$ She has $948948$ 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.

$8 × 5 8 × 5$

528.

$6 · 14 6 · 14$

529.

$( 10 ) ( 95 ) ( 10 ) ( 95 )$

530.

$54 ( 72 ) 54 ( 72 )$

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

531.

$2 × 4 2 × 4$

532.

$3 × 8 3 × 8$

Multiply Whole Numbers

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

533.
534.

In the following exercises, multiply.

535.

$0 · 14 0 · 14$

536.

$( 256 ) 0 ( 256 ) 0$

537.

$1 · 99 1 · 99$

538.

$( 4,789 ) 1 ( 4,789 ) 1$

539.

$7·47·4$ $4·74·7$

540.

$( 25 ) ( 6 ) ( 25 ) ( 6 )$

541.

$9,261 × 3 9,261 × 3$

542.

$48 · 76 48 · 76$

543.

$64 · 10 64 · 10$

544.

$1,000 ( 22 ) 1,000 ( 22 )$

545.

$162 × 493 162 × 493$

546.

$( 601 ) ( 943 ) ( 601 ) ( 943 )$

547.

$3,624 × 517 3,624 × 517$

548.

$10,538 · 22 10,538 · 22$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

549.

the product of $1515$ and $2828$

550.

ninety-four times thirty-three

551.

twice $575575$

552.

ten times two hundred sixty-four

Multiply Whole Numbers in Applications

In the following exercises, solve.

553.

Gardening Geniece bought $88$ packs of marigolds to plant in her yard. Each pack has $66$ 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 $44$ cups of rice, how many cups of water does she need?

555.

Multiplex There are twelve theaters at the multiplex and each theater has $150150$ 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, $3030$ feet by $2424$ feet. What is the area of the roof?

## Divide Whole Numbers

Use Division Notation

Translate from math notation to words.

557.

$54 ÷ 9 54 ÷ 9$

558.

$42 / 7 42 / 7$

559.

$72 8 72 8$

560.

$6 48 6 48$

Model Division of Whole Numbers

In the following exercises, model.

561.

$8 ÷ 2 8 ÷ 2$

562.

$3 12 3 12$

Divide Whole Numbers

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

563.

$14 ÷ 2 14 ÷ 2$

564.

$32 8 32 8$

565.

$52 ÷ 4 52 ÷ 4$

566.

$26 26 26 26$

567.

$97 1 97 1$

568.

$0 ÷ 52 0 ÷ 52$

569.

$100 ÷ 0 100 ÷ 0$

570.

$355 5 355 5$

571.

$3828 ÷ 6 3828 ÷ 6$

572.

$31 1,519 31 1,519$

573.

$7505 25 7505 25$

574.

$5,166 ÷ 42 5,166 ÷ 42$

Translate Word Phrases to Math Notation

In the following exercises, translate and simplify.

575.

the quotient of $6464$ and $1616$

576.

the quotient of $572572$ and $5252$

Divide Whole Numbers in Applications

In the following exercises, solve.

577.

Ribbon One spool of ribbon is $2727$ feet. Lizbeth uses $33$ 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 $128128$ ounces. How many $44$ ounce cups can Shayla fill from one carton of juice?

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