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Mathematics LibreTexts

12.4.1: Chapter 1

  • Page ID
    119022
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    Be Prepared

    1.1

    215 215

    1.2

    342 , 006 342 , 006

    1.3
    .
    1.4

    910 910

    1.5

    2 , 162 2 , 162

    1.6

    284 284

    1.7

    81 81

    1.8

    17 17

    1.9

    5 , 394 5 , 394

    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 No Alt Text
    1.24 No Alt Text
    1.25 No Alt Text
    1.26 No Alt Text
    1.27 No Alt Text
    1.28 No Alt Text
    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 No Alt Text
    1.54 No Alt Text
    1.55 No Alt Text
    1.56 No Alt Text
    1.57 No Alt Text
    1.58 No Alt Text
    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 No Alt Text
    1.80 No Alt Text
    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 No Alt Text
    1.114 No Alt Text
    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. No Alt Text

    2 + 4 = 6 2 + 4 = 6

    67. No Alt Text

    8 + 4 = 12 8 + 4 = 12

    69. No Alt Text

    14 + 75 = 89 14 + 75 = 89

    71. No Alt Text

    16 + 25 = 41 16 + 25 = 41

    73. No Alt Text
    75. No Alt Text
    77. No Alt Text
    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.

    599 + 250 = 849 599 + 250 = 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.

    138.

    Yes, the total weight is 1091 pounds.

    139.

    Answers will vary.

    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.

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

    147. No Alt Text
    149. No Alt Text
    151. No Alt Text
    153. No Alt Text
    155. No Alt Text
    157. No Alt Text
    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.

    Answers may vary.

    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. No Alt Text
    235. No Alt Text
    237. No Alt Text
    239. No Alt Text
    241. No Alt Text
    243. No Alt Text
    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.

    3,600

    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 + 95; 3,170

    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. No Alt Text
    353. No Alt Text
    355. No Alt Text
    357. No Alt Text
    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.

    Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days.

    451.

    Answers may vary. Using multiplication facts can help you check your answers once you’ve finished division.

    Review Exercises

    453.
    1. 2, 99
    2. 0, 2, 99
    455.
    1. 4, 90
    2. 0, 4, 90
    457. No Alt Text
    459.
    1. tens
    2. hundred thousands
    3. ones
    4. ten thousands
    5. 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. No Alt Text
    483. No Alt Text
    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. No Alt Text
    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. No Alt Text
    533. No Alt Text
    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. No Alt Text
    563.

    7

    565.

    13

    567.

    97

    569.

    undefined

    571.

    638

    573.

    300 R5

    575.

    64 ÷ 16; 4

    577.

    9 baskets

    Practice Test

    579.
    1. 4, 87
    2. 0, 4, 87
    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.


    12.4.1: Chapter 1 is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.

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