Prealgebra

# Chapter 1

PrealgebraChapter 1

### Try It

1.1
• 2, 9, 241, 376
• 0, 2, 9, 241, 376
1.2
• 7, 13, 201
• 0, 7, 13, 201
1.3

176

1.4

237

1.5
• ten millions
• tens
• hundred thousands
• millions
• ones
1.6
• billions
• ten thousands
• tens
• hundred thousands
• hundred millions
1.7

nine trillion, two hundred fifty-eight billion, one hundred thirty-seven million, nine hundred four thousand, sixty-one

1.8

seventeen trillion, eight hundred sixty-four billion, three hundred twenty-five million, six hundred nineteen thousand, four

1.9

three hundred sixteen million, one hundred twenty-eight thousand, eight hundred thirty nine

1.10

thirty one million, five hundred thirty-six thousand

1.11

53,809,051

1.12

2,022,714,466

1.13

34,000,000 miles

1.14

204,000,000 pounds

1.15

160

1.16

880

1.17

17,900

1.18

5,000

1.19

64,000

1.20

156,000

1.21
• eight plus four; the sum of eight and four
• eighteen plus eleven; the sum of eighteen and eleven
1.22
1. twenty-one plus sixteen; the sum of twenty-one and sixteen
2. one hundred plus two hundred; the sum of one hundred and two hundred
1.23 1.24 1.25 1.26 1.27 1.28 1.29
1. $0+19=190+19=19$
2. $39+0=3939+0=39$
1.30
1. $0+24=240+24=24$
2. $57+0=5757+0=57$
1.31

$9 + 7 = 16 ; 7 + 9 = 16 9 + 7 = 16 ; 7 + 9 = 16$

1.32

$8 + 6 = 14 ; 6 + 8 = 14 8 + 6 = 14 ; 6 + 8 = 14$

1.33

$32 + 54 = 86 32 + 54 = 86$

1.34

$25 + 74 = 99 25 + 74 = 99$

1.35

$35 + 98 = 133 35 + 98 = 133$

1.36

$72 + 89 = 161 72 + 89 = 161$

1.37

$456 + 376 = 832 456 + 376 = 832$

1.38

$269 + 578 = 847 269 + 578 = 847$

1.39

$4,597 + 685 = 5,282 4,597 + 685 = 5,282$

1.40

$5,837 + 695 = 6,532 5,837 + 695 = 6,532$

1.41

$46,195 + 397 + 6,281 = 52,873 46,195 + 397 + 6,281 = 52,873$

1.42

$53,762 + 196 + 7,458 = 61,416 53,762 + 196 + 7,458 = 61,416$

1.43

Translate: $17+2617+26$; Simplify: $4343$

1.44

Translate: $28+1428+14$; Simplify: $4242$

1.45

Translate: $29+7629+76$; Simplify $105105$

1.46

Translate 37 + 69; Simplify 106

1.47

He rode 140 miles.

1.48

The total number is 720 students.

1.49

The perimeter is 30 inches.

1.50

The perimeter is 36 inches.

1.51
1. twelve minus four; the difference of twelve and four
2. twenty-nine minus eleven; the difference of twenty-nine and eleven
1.52
1. eleven minus two; the difference of eleven and two
2. twenty-nine minus twelve; the difference of twenty-nine and twelve
1.53 1.54 1.55 1.56 1.57 1.58 1.59

7 − 0 = 7; 7 + 0 = 7

1.60

6 − 2 = 4; 2 + 4 = 6

1.61

86 − 54 = 32 because 54 + 32 = 86

1.62

99 − 74 = 25 because 74 + 25 = 99

1.63

93 − 58 = 35 because 58 + 35 = 93

1.64

81 − 39 = 42 because 42 + 39 = 81

1.65

439 − 52 = 387 because 387 + 52 = 439

1.66

318 − 75 = 243 because 243 + 75 = 318

1.67

832 − 376 = 456 because 456 + 376 = 832

1.68

847 − 578 = 269 because 269 + 578 = 847

1.69

4,585 − 697 = 3,888 because 3,888 + 697 = 4,585

1.70

5,637 − 899 = 4,738 because 4,738 + 899 = 5,637

1.71
1. 14 − 9 = 5
2. 37 − 21 = 16
1.72
1. 11 − 6 = 5
2. 67 − 18 = 49
1.73

The difference is 19 degrees Fahrenheit.

1.74

The difference is 17 degrees Fahrenheit.

1.75

The difference is $149. 1.76 The difference is$136.

1.77
1. eight times seven ; the product of eight and seven
2. eighteen times eleven ; the product of eighteen and eleven
1.78
1. thirteen times seven ; the product of thirteen and seven
2. five times sixteen; the product of five and sixteen
1.79 1.80 1.81
1. $00$
2. $00$
1.82
1. $00$
2. $00$
1.83
1. $1919$
2. $3939$
1.84
1. $2424$
2. $5757$
1.85

54 and 54; both are the same.

1.86

48 and 48; both are the same.

1.87

$512 512$

1.88

$342 342$

1.89

$1,735 1,735$

1.90

$3,234 3,234$

1.91

3,354

1.92

3,776

1.93
1. 540
2. 5,400
1.94
1. 750
2. 7,500
1.95

127,995

1.96

653,462

1.97

365,462

1.98

504,108

1.99

13 · 28; 364

1.100

47 · 14; 658

1.101

2(167); 334

1.102

2(258); 516

1.103

Valia donated 144 water bottles.

1.104

Vanessa bought 80 hot dogs.

1.105

Erin needs 28 dahlias.

1.106

There are 36 women in the choir.

1.107

Jane needs 320 tiles.

1.108

Yousef needs 1,080 tiles.

1.109

The area of the rug is 40 square feet.

1.110

The area of the driveway is 900 square feet

1.111
• eighty-four divided by seven; the quotient of eighty-four and seven
• eighteen divided by six; the quotient of eighteen and six.
• twenty-four divided by eight; the quotient of twenty-four and eight
1.112
• seventy-two divided by nine; the quotient of seventy-two and nine
• twenty-one divided by three; the quotient of twenty-one and three
• fifty-four divided by six; the quotient of fifty-four and six
1.113 1.114 1.115

9 3

1.116

4 5

1.117
1. 1
2. 27
1.118
1. 16
2. 4
1.119

0 undefined

1.120

0 undefined

1.121

659

1.122

679

1.123

861

1.124

651

1.125

704

1.126

809

1.127

476 with a remainder of 4

1.128

539 with a remainder of 7

1.129

114 R11

1.130

121 R9

1.131

307 R49

1.132

308 R77

1.133

91 ÷ 13; 7

1.134

52 ÷ 13; 4

1.135

Marcus can fill 15 cups.

1.136

Andrea can make 9 bows.

### Section 1.1 Exercises

1.
1. 5, 125
2. 0, 5, 125
3.
1. 50, 221
2. 0, 50, 221
5.

561

7.

407

9.
1. thousands
2. hundreds
3. tens
4. ten thousands
5. hundred thousands
11.
1. hundred thousands
2. millions
3. thousands
4. tens
5. ten thousands
13.

One thousand, seventy-eight

15.

Three hundred sixty-four thousand, five hundred ten

17.

Five million, eight hundred forty-six thousand, one hundred three

19.

Thirty seven million, eight hundred eighty-nine thousand, five

21.

Fourteen thousand, four hundred ten

23.

Six hundred thirteen thousand, two hundred

25.

Two million, six hundred seventeen thousand, one hundred seventy-six

27.

Twenty three million, eight hundred sixty-seven thousand

29.

One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six

31.

412

33.

35,975

35.

11,044,167

37.

3,226,512,017

39.

7,173,000,000

41.

39,000,000,000,000

43.
1. 390
2. 2,930
45.
1. 13,700
2. 391,800
47.
1. 1,490
2. 1,500
49.
1. $64,00064,000$
2. $63,90063,900$
51.

Twenty four thousand, four hundred ninety-three dollars

53.
1. $24,490 2.$24,500
3. $24,000 4.$20,000
55.
1. $1,000,000,0001,000,000,000$
2. $1,400,000,0001,400,000,000$
3. $1,356,000,0001,356,000,000$
57.

Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.

### Section 1.2 Exercises

59.

five plus two; the sum of 5 and 2.

61.

thirteen plus eighteen; the sum of 13 and 18.

63.

two hundred fourteen plus six hundred forty-two; the sum of 214 and 642

65. $2 + 4 = 6 2 + 4 = 6$

67. $8 + 4 = 12 8 + 4 = 12$

69. $14 + 75 = 89 14 + 75 = 89$

71. $16 + 25 = 41 16 + 25 = 41$

73. 75. 77. 79.
1. 13
2. 13
81.
1. $1111$
2. $1111$
83.

$78 78$

85.

$99 99$

87.

$85 85$

89.

$142 142$

91.

$493 493$

93.

$861 861$

95.

$1,031 1,031$

97.

$6,850 6,850$

99.

$22,333 22,333$

101.

$1,104,860 1,104,860$

103.

$29,191 29,191$

105.

$101,531 101,531$

107.

$13 + 18 = 31 13 + 18 = 31$

109.

$90 + 65 = 155 90 + 65 = 155$

111.

$33 + 49 = 82 33 + 49 = 82$

113.

$250 + 599 = 849 250 + 599 = 849$

115.

$628 + 77 = 705 628 + 77 = 705$

117.

$915 + 1,482 = 2,397 915 + 1,482 = 2,397$

119.

The total cost was $1,875. 121. Ethan rode 138 miles. 123. The total square footage in the rooms is 1,167 square feet. 125. Natalie’s total salary is$237,186.

127.

The perimeter of the figure is 44 inches.

129.

The perimeter of the figure is 56 meters.

131.

The perimeter of the figure is 71 yards.

133.

The perimeter of the figure is 62 feet.

135.

The total number of calories was 640.

137.

Yes, he scored 406 points.

139.

### Section 1.3 Exercises

141.

fifteen minus nine; the difference of fifteen and nine

143.

forty-two minus thirty-five; the difference of forty-two and thirty-five

145.

hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty

147. 149. 151. 153. 155. 157. 159.

5

161.

8

163.

22

165.

33

167.

123

169.

1,321

171.

28

173.

222

175.

346

177.

3,519

179.

1,186

181.

34,668

183.

10 − 3; 7

185.

15 − 4; 11

187.

9 − 6; 3

189.

75 − 28; 47

191.

45 − 20; 25

193.

92 − 67; 25

195.

16 − 12; 4

197.

61 − 38; 23

199.

29

201.

72

203.

1,060

205.

22

207.

75 + 35; 110

209.

41 − 13; 28

211.

100 − 76; 24

213.

The difference between the high and low temperature was 17 degrees

215.

The difference between the third grade and second grade was 13 children.

217.

The difference between the regular price and sale price is $251. 219. John needs to save$155 more.

221.

157 miles

223.

### Section 1.4 Exercises

225.

four times seven; the product of four and seven

227.

five times twelve; the product of five and twelve

229.

ten times twenty-five; the product of ten and twenty-five

231.

forty-two times thirty-three; the product of forty-two and thirty-three

233. 235. 237. 239. 241. 243. 245.

0

247.

0

249.

43

251.

28

253.

240,055

255.
1. 42
2. 42
257.

395

259.

1,650

261.

23,947

263.

1,976

265.

7,008

267.

2,295

269.

230

271.

360

273.

88,000

275.

50,000,000

277.

34,333

279.

422,506

281.

804,285

283.

26,624

285.

245,340

287.

1,476,417

289.

18 · 33; 594

291.

51(67); 3,417

293.

2(249); 498

295.

10(375); 3,750

297.

1,406

299.

148

301.

11,000

303.

11,424

305.

0

307.

15,383

309.

50 − 18; 32

311.

2(35); 70

313.

20 + 980; 1,000

315.

12(875); 10,500

317.

89 − 74; 15

319.

3,075 + 950; 4,025

321.

814 − 366; 448

323.

Tim brought 54 cans of soda to the party.

325.

There were 308 students.

327.

Rey donated 180 t-shirts.

329.

Stephanie should use 20 cups of fruit juice.

331.

There are 100 senators in the U.S. senate.

333.

The area of the wall is 117 square feet.

335.

The area of the room is 1,428 square feet.

337.

The area of the court is 4,700 square feet.

339.

Javier’s portfolio gained $3,600. 341. Answers will vary. ### Section 1.5 Exercises 343. fifty-four divided by nine; the quotient of fifty-four and nine 345. thirty-two divided by eight; the quotient of thirty-two and eight 347. forty-eight divided by six; the quotient of forty-eight and six 349. sixty-three divided by seven; the quotient of sixty-three and seven 351. 353. 355. 357. 359. 9 361. 9 363. 7 365. 9 367. 9 369. 5 371. 1 373. 1 375. 23 377. 19 379. 0 381. undefined 383. undefined 385. 0 387. 24 389. 12 391. 93 393. 132 395. 871 397. 7,831 399. 2,403 401. 901 403. 704 405. 10,209 407. 352 R6 409. 6,913 R1 411. 86,234 R4 413. 43,338 R2 415. 382 R5 417. 849 419. 96 421. 1,986 R17 423. 3,060 425. 72 427. 1,060 429. 35 431. 45 ÷ 15; 3 433. 288 ÷ 24; 12 435. Ric can fill 32 bags. 437. There are 25 groups. 439. Marta can wrap 16 cakes from 1 roll. 441. The difference is 28 miles per gallon. 443. They will need 5 vans for the field trip 445. Bill hiked 50 miles 447. LaVonne treated 48 patients last week. 449. Answers may vary. Using multiplication facts can help you check your answers once you’ve finished division. 451. Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days. ### Review Exercises 453. 1. 2, 99 2. 0, 2, 99 455. 1. 4, 90 2. 0, 4, 90 457. 459. 1. tens 2. hundred thousands 3. ones 4. thousands 5. ten thousands 461. Five thousand two hundred eighty 463. Five million twelve thousand five hundred eighty-two 466. 15,253 467. 340,912,061 469. 410 471. 3,560 473. 39,000 475. 81,500 477. four plus three; the sum of four and three 479. five hundred seventy-one plus six hundred twenty-nine; the sum of five hundred seventy-one and six hundred twenty-nine 481. 483. 485. 1. 19 2. 19 487. 1. 13 2. 13 489. 79 491. 154 493. 19,827 495. 30 + 12; 42 497. 39 + 25; 64 499.$76

501.

46 feet

503.

fourteen minus five; the difference of fourteen and five

505.

three hundred fifty-one minus two hundred forty-nine; the difference between three hundred fifty-one and two hundred forty-nine

507. 509.

3

511.

14

513.

23

515.

322

517.

380

519.

9,985

521.

19 − 13; 6

523.

74 − 8; 66

525.

58 degrees Fahrenheit

527.

eight times five the product of eight and five

529.

ten times ninety-five; the product of ten and ninety-five

531. 533. 535.

0

537.

99

539.
1. 28
2. 28
541.

27,783

543.

640

545.

79,866

547.

1,873,608

549.

15(28); 420

551.

2(575); 1,150

553.

48 marigolds

555.

1,800 seats

557.

fifty-four divided by nine; the quotient of fifty-four and nine

559.

seventy-two divided by eight; the quotient of seventy-two and eight

561. 563.

7

565.

13

567.

97

569.

undefined

571.

638

573.

300 R5

575.

64 ÷ 16; 4

577.

### Practice Test

579.
1. 4, 87
2. 0, 4, 8
581.
1. 613
2. 55,208
583.

68

585.

17

587.

32

589.

0

591.

0

593.

66

595.

3,325

597.

490

599.

442

601.

11

603.

16 + 58; 74

605.

32 − 18; 14

607.

2(524); 1,048

609.

300 − 50; 250

611.

Stan had \$344 left.

613.

Clayton walked 30 blocks. Do you know how you learn best?
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