Prealgebra 2e

# Review Exercises

Prealgebra 2eReview Exercises

### 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.

$0,2,990,2,99$

454.

$0,3,250,3,25$

455.

$0,4,900,4,90$

456.

$0,1,750,1,75$

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.

$472,981472,981$

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

$12,403,29512,403,295$

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.

$5,2805,280$

462.

$204,614204,614$

463.

$5,012,5825,012,582$

464.

$31,640,97631,640,976$

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.

$412412$

470.

$648648$

471.

$3,5563,556$

472.

$2,7342,734$

In the following exercises, round to the nearest hundred.

473.

$38,97538,975$

474.

$26,84926,849$

475.

$81,48681,486$

476.

$75,99275,992$

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

477.

$4+34+3$

478.

$25+1825+18$

479.

$571+629571+629$

480.

$10,085+3,49210,085+3,492$

In the following exercises, model the addition.

481.

$6+76+7$

482.

$38+1438+14$

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.

$44+3544+35$

490.

$63+2963+29$

491.

$96+5896+58$

492.

$375+591375+591$

493.

$7,281+12,5467,281+12,546$

494.

$5,280+16,324+9,7315,280+16,324+9,731$

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.

$14−514−5$

504.

$40−1540−15$

505.

$351−249351−249$

506.

$5,724−2,9185,724−2,918$

Model Subtraction of Whole Numbers

In the following exercises, model the subtraction.

507.

$18−418−4$

508.

$41−2941−29$

Subtract Whole Numbers

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

509.

$8−58−5$

510.

$12−712−7$

511.

$23−923−9$

512.

$46−2146−21$

513.

$82−5982−59$

514.

$110−87110−87$

515.

$539−217539−217$

516.

$415−296415−296$

517.

$1,020−6401,020−640$

518.

$8,355−3,9478,355−3,947$

519.

$10,000−1510,000−15$

520.

$54,925−35,64754,925−35,647$

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.

$8×58×5$

528.

$6·146·14$

529.

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

530.

$54(72)54(72)$

Model Multiplication of Whole Numbers

In the following exercises, model the multiplication.

531.

$2×42×4$

532.

$3×83×8$

Multiply Whole Numbers

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

533. 534. In the following exercises, multiply.

535.

$0·140·14$

536.

$(256)0(256)0$

537.

$1·991·99$

538.

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

539.

$7·47·4$ $4·74·7$

540.

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

541.

$9,261×39,261×3$

542.

$48·7648·76$

543.

$64·1064·10$

544.

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

545.

$162×493162×493$

546.

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

547.

$3,624×5173,624×517$

548.

$10,538·2210,538·22$

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.

$54÷954÷9$

558.

$42/742/7$

559.

$728728$

560.

$648648$

Model Division of Whole Numbers

In the following exercises, model.

561.

$8÷28÷2$

562.

$312312$

Divide Whole Numbers

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

563.

$14÷214÷2$

564.

$328328$

565.

$52÷452÷4$

566.

$26262626$

567.

$971971$

568.

$0÷520÷52$

569.

$100÷0100÷0$

570.

$35553555$

571.

$3828÷63828÷6$

572.

$311,519311,519$

573.

$750525750525$

574.

$5,166÷425,166÷42$

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?