04CMAKD0613-0615

Answer Keysfor Calvert Math

Lessons 61–80

CONTENTS

Math Textbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

Math Workbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54

Math Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

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Answer Keyslessons 61–80 Math Textbook

Chapter 6

6.1 Related FactsTry These1 f 2 d 3 c 4 e 5 a 6 b

Exercises1 Possible answers include 8 × 5 = 40 or 5 × 8 = 40. 2 Possible answers include 7 × 8 = 56 or 8 × 7 = 56. 3 Possible answers include 4 × 8 = 32 or 8 × 4 = 32. 4 Possible answers include 8 × 9 = 72 or 9 × 8 = 72. 5 3 × 6 = 18, 6 × 3 = 18, 18 ÷ 3 = 6, 18 ÷ 6 = 3 6 8 × 5 = 40, 5 × 8 = 40, 40 ÷ 8 = 5, 40 ÷ 5 = 8 7 6 × 9 = 54, 9 × 6 = 54, 54 ÷ 9 = 6, 54 ÷ 6 = 9 8 8 × 6 = 48, 6 × 8 = 48, 48 ÷ 8 = 6, 48 ÷ 6 = 8 9 9 × 8 = 72, 8 × 9 = 72, 72 ÷ 8 = 9, 72 ÷ 9 = 8 10 6 × 7 = 42, 7 × 6 = 42, 42 ÷ 6 = 7, 42 ÷ 7 = 6 11 9 × 5 = 45, 5 × 9 = 45, 45 ÷ 5 = 9, 45 ÷ 9 = 5 12 12 × 11 = 132, 11 × 12 = 132, 132 ÷ 11 = 12, 132 ÷ 12 = 11 13 16 × 15 = 240, 15 × 16 = 240, 240 ÷ 15 = 16, 240 ÷ 16 = 15 14 20 × 21 = 420, 21 × 20 = 420, 420 ÷ 20 = 21, 420 ÷ 21 = 20

Problem Solving15 Possible answers include: 1 and 12 or 2 and 6. 16 Possible answers include: 2 and 12, 3 and 8, or 4 and 6. 17 4 and 16 18 7 strawberries

Mind Builder1 3, 25 × 3 = 75, 3 × 25 = 75, 75 ÷ 3 = 25, 75 ÷ 25 = 3 2 35, 35 × 2 = 70, 2 × 35 = 70, 70 ÷ 2 = 35, 70 ÷ 35 = 2 3 180, 4 × 45 = 180, 45 × 4 = 180, 180 ÷ 45 = 4, 180 ÷ 4 = 45 4 22, 3 × 22 = 66, 22 × 3 = 66, 66 ÷ 22 = 3, 66 ÷ 3 = 22 5 250, 50 × 5 = 250, 5 × 50 = 250, 250 ÷ 50 = 5, 250 ÷ 5 = 50

6.2 Missing FactorsTry These1 6, 6 2 9, 9 3 3, 3

Exercises1 4, 4 2 1, 1 3 5, 5 4 9; 9 × 8 = 72 5 7; 7 × 7 = 49 6 7; 9 × 7 = 63 7 8; 8 × 7 = 56 8 12; 12 × 3 = 36 9 9; 9 × 5 = 45 10 3 11 1 12 63

Problem Solving13 7 photos 14 8 cars

Constructed Response15 There are 4 groups because 24 divided by 6 equals 4. 16 Possible response: Yes, because there are 3 boys and $27 can be divided equally by 3.

6.3 Division PatternsTry These1 1, 100, 1,000 2 5, 50, 500 3 3, 30, 300 4 7, 70, 700 5 5, 50, 500

Exercises1 1 2 10 3 100 4 1,000 5 10,000 6 2 7 20 8 200 9 2,000 10 20,000 11 9 12 90 13 900 14 9,000 15 90,000 16 30 17 50 18 7,000 19 700 20 800

Problem Solving21 20 rows 22 40 ornaments 23 52 plants 24 30 plants

Constructed Response25 Paige is right because sometimes the number of zeros in the quotient is less than the number of zeros in the dividend. For example, in 400 ÷ 8 = 50, the quotient (50), has less zeros than the dividend (400).

Mixed Review26 55,158 27 2,320 28 0 29 17,415

6.4 Remainders and CheckingTry These1 3 R1 2 5 R3 3 2 4 9 R2 5 3 R7 6 2 R6

Exercises1 7 R2 2 4 R3 3 2 R3 4 4 5 3 R1 6 9 R3 7 9 R2 8 9 R3 9 6 R1 10 6 R2 11 9 R2 12 6 R3 13 9 R7 14 6 R5 15 7 R1 16 3 R2 17 9 18 7 R4

Problem Solving19 9¢ 20 $10 21 88¢

Test Prep22 b

6.5 Problem-Solving Application: Interpret RemaindersTry These1 3 pots 2 9 bags

Math textbook answer key Lessons 61–80

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Solve1 10 trays 2 100 trays 3 9 pounds 4 9 bundles 5 $2.03 6 10 sections 7 6 pieces 8 5 books, $2 left over 9 6 cars 10 6 rows 11 10 cartons 12 14 hats

Constructed Response13 Each girl will receive 7 chocolates and Molly will have 4 extra chocolates to share with her teacher because 60 ÷ 8 = 7 with a remainder of 4. 14 They both have the same amount of money, $3.75, because 15 quarters equals $3.75 (15 × $0.25 = $3.75) and 75 nickels equals $3.75 (75 × $0.05 = $3.75).

6.6 Dividing with No RegroupingTry These1 31 2 11 3 24 4 23 5 11 6 $11 R$2

Exercises1 14 2 21 R3 3 23 4 11 5 $11 R$3 6 12 R1 7 32 8 $11 R$3 9 33 10 11 R2 11 32 R2 12 $33 R$1 13 21 R2 14 13 15 44 R1 16 22 R1 17 22 18 11 R2 19 14 R1 20 $12 21 $11 R$1 22 $31 23 $21 R$1 24 24 R1 25 15

Mid-Chapter Review1 5 2 50 3 500 4 10 R4 5 11 R1 6 $10 R$3 7 11 R3 8 32 R1 9 22 R1 10 44 R1 11 32¢ 12 13 yards 13 512 crayons 14 11 seeds, 3 seeds left over

6.7 Dividing with RegroupingTry These1 23 2 37 3 $27 4 26 5 11 R3 6 12 R3

Exercises1 15 2 13 3 16 R3 4 12 R1 5 29 6 19 R1 7 23 R3 8 17 R1 9 13 10 15 11 36 R1 12 25 R2 13 $14 14 $25 R$1 15 $12 16 $23 R$3 17 $11 R$2 18 $18

Problem Solving19 12 hangers, 1 bead left over 20 16¢ 21 35 more deliveries 22 24 times, You can divide 168 by 7 which equals 24.

Mixed Review23 $459.77 24 26,645 25 $1,997.93 26 38,311,744

Problem Solving21 highways Extension

1 45 highways 2 9 highways if there are 10 cities

Cumulative Review1 8,000 2 8 3 80 4 800,000,000 5 8, 11, 24 6 79, 97, 99, 109 7 489, 498, 500 8 83 – 15 = 68 9 895 + 215 = 1,110 10 85 – 51 = 34 11 2,521 12 $58.68 13 71,149 14 8,840

15 $8.89 16 12 17 64 18 225 19 1,638 20 $57,300 21 $920 22 4,144 23 2,072 24 2,835 25 3,220 26 44,304 27 27,840 28 18,396 29 77,748 30 130,032 31 182,464 32 2 33 9 34 4 R3 35 21 36 29 R2 37 14 R3 38 $4 39 16 rows 40 Answers will vary. Possible answer: Della has more red jelly beans than Danny.

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

6.8 Estimating QuotientsTry These1 2 digits, 20 2 3 digits, 200 3 4 digits, 2,000 4 2 digits, 20 5 3 digits, 200

Exercises1 40 2 20 3 90 4 30 5 60 6 30 7 40 8 70 9 140 10 70 11 90 12 80 13 100 14 400 15 400 16 90 17 700 18 40 19 40 20 800 21 700 22 400 23 1,000

Problem Solving24 208 students 25 about 20 ropes 26 49 books 27 about 20 yards

Mind Builder1 25 2 5 3 3 4 47 5 4

6.9 Dividing Greater NumbersTry These1 76 2 66 R5 3 1,297 4 831

Exercises1 64 2 94 3 87 R1 4 95 5 83 R2 6 64 R8 7 31 8 36 9 68 R1 10 23 11 594 R4 12 412 R1 13 2,146 R3 14 711 R2 15 3,122 R2 16 true 17 false 18 false 19 true

Problem Solving20 8, 0 21 120 cookies 22 6 kinds of sundaes: chocolate/chocolate, chocolate/cherry, chocolate/pineapple, vanilla/chocolate, vanilla/cherry, vanilla/pineapple 23 1,245 pounds 24 $1.25 25 35

6.10 Zeros in the QuotientTry These1 4 R3 2 308 3 40 R4 4 101 5 150 R4

Math textbook answer key Lessons 61–80

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Exercises1 70 2 10 R1 3 302 4 30 R2 5 100 R5 6 309 7 105 R1 8 10 R5 9 10 R6 10 40 R1 11 80 12 180 R4 13 200 R2 14 109 R2 15 110 R5 16 1,080 R3 17 202 R1 18 11,770 R2 19 805 R6 20 14,088 R4 21 dividend

Problem Solving22 288 tennis balls 23 103 trees 24 Possible answers include: 7 cherry pies, 1 cherry jam, and 1 cherry cobbler; 5 cherry pies, 1 cherry jam, and 4 cherry cobblers; 4 cherry pies, 2 cherry jams, and 3 cherry cobblers; 3 cherry pies, 1 cherry jam, and 7 cherry cobblers; 2 cherry pies, 2 cherry jams, and 6 cherry cobblers; 1 cherry pie, 3 cherry jams, and 5 cherry cobblers. Explanations will vary and should include how the total amount used in the combination equals 28 pints, leaving no cherries to waste.

6.11 Dividing with MoneyTry These1 $3.76 2 $0.80 3 $1.06 4 $0.08 5 $13.53

Exercises1 $1.57 2 $0.50 3 $1.05 4 $0.07 5 $1.39 6 $3.67 7 $2.16 8 $1.07 9 $23.64 10 $0.85 11 $0.07 12 $8.35 13 $1.37 14 $1.00 15 $1.06 16 $0.09 17 $4.13 18 $25.93 19 $5.81 20 $23.05 21 true

Problem Solving22 $8.46 23 $3.99 24 $13.70 25 $0.36

Test Prep26 c

6.12 Problem-Solving Strategy: Choosing the OperationTry These1 50 books, addition (33 + 17 = 50) 2 16 trading cards, division (64 ÷ 4 = 16)

Solve1 42 people 2 $3 3 14 miles 4 9 miles 5 9 figurines 6 $25.00 7 2 sandwiches 8 3 carrot strips 9 $7.25 10 8 packages

Chapter 6 ReviewLanguage and Concepts1 c 2 b 3 a 4 A fact family is a group of three numbers that are related, and they combine to make a set of multiplication and division facts. 5 A remainder is the amount left over after a division has been completed. The remainder must be less than the divisor. 6 c

Skills and Problem Solving7 9 3 4 = 36, 4 × 9 = 36, 36 ÷ 4 = 9, 36 ÷ 9 = 4 8 8 × 8 = 64, 64 ÷ 8 = 8 9 3 × 8 = 24, 8 × 3 = 24,

24 ÷ 8 = 3, 24 ÷ 3 = 8 10 6 × 5 = 30, 5 × 6 = 30, 30 ÷ 6 = 5, 30 ÷ 5 = 6 11 Answers will vary. 12 13; 13 × 3 = 39 13 6; 6 × 4 = 24 14 8; 8 × 8 = 64 15 20 16 30 17 30 18 80 19 60 20 60 21 $0.70 22 300 23 900 24 900 25 50 26 30 27 60 28 700 29 800 30 13 R3 31 $19 32 111 33 112 R3 34 268 R1 35 20 R1 36 $4.03 37 80 R5 38 109 39 200 R2 40 $5.56 41 $5.23 42 $7.07 43 $1,648 44 $409 45 15 rows 46 4 bags 47 $19 48 4 packages

Chapter 6 Test1 7 2 8 3 7 4 40 5 202 6 80 7 200 8 700 9 16 R2 10 $11 11 $53 12 $1.13 13 176 R4 14 $0.07 15 918 R2 16 1,081 R3 17 $37.25 18 $3.44 19 80 20 80 21 1,300 22 400 23 900 24 $6.20, division 25 5 cakes, division 26 9 packages, division 27 $18.15, subtraction

Change of Pace1 The columns of numbers ending in 2, 4, 6, 8, and 0 are shaded.

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

2 The shaded areas make a diagonal line.0

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

3 Every other number in the columns of numbers ending in 2, 4, 6, 8, and 0 is shaded.

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

Math textbook answer key Lessons 61–80

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4 The columns of numbers ending in 5 and 0 are shaded.

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

5 The column of numbers ending in 0 is shaded. 0

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1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110111 112 113 114 115 116 117 118 119 120121 122 123 124 125 126 127 128 129 130

6 60 and 120

Cumulative Test1 b 2 b 3 b 4 c 5 c 6 c 7 b 8 c 9 b 10 c

Chapter 7

7.1 Division PatternsTry These1 4 2 7 3 7 4 6 5 7 6 6 7 9 8 3

Exercises1 1 2 4 3 3 4 30 5 70 6 2 7 420 ÷ 60 = 7 8 8 9 9 10 3 11 20 12 560 ÷ 80 = 7 13 8 14 90 15 90 16 70 17 80 18 90 19 80 20 60 21 50 22 70 23 500 24 8,000

Problem Solving25 9 boxes 26 4 boxes 27 4 cookies 28 $2

Mixed Review29

7.2 Estimating QuotientsTry These1 2 2 9 3 20 4 20

Exercises1 3 2 2 3 8 4 5 5 30 6 20 7 8 8 10 9 2 10 7 11 8 12 7 13 10 14 7 15 7 16 5 17 300 18 90 19 300 20 30 21 200

Problem Solving22 about 7 buses 23 about 20 boxes 24 $43.75 25 about 400 bulbs

Constructed Response26 Mrs. Miles needs to buy 56 bags for a month. If each animal eats 1 bag a week, then she needs 14 bags a week since she has 14 animals. Since there are 4 weeks in a month, she will need to buy 56 bags for a month because 14 × 4 = 56.

7.3 Dividing by Multiples of 10Try These1 5 R14 2 4 R9 3 2 R13 4 8 R37

Exercises1 1 R45 2 4 R3 3 2 R16 4 4 R14 5 3 R17 6 9 R82 7 8 R6 8 9 R37 9 1 R72 10 3 R28 11 9 R4 12 9 R17 13 3 R30 14 3 R8 15 4 R26 16 8 R13 17 7 R3 18 7 R72 19 6 R79 20

406

685

551 640� 80

118

389

429 248� 59

2

6 R35

7 R16 4 R12

5 R6

8 R45

6 R71 8

Input

Output

5

20

7

22

2

17

7

22

Input

Output

4

28

9

63

6

42

10

70

3

21

Input

Output

27

24

13

10

36

33

40

37

84

81

Input

Output

6

8

29

31

43

45

37

39

72

74

Input

Output

32

8

64

16

28

7

12

3

20

5

Input

Output

61

186

46

171

1,265

1,390

90

215

1,345

1,470

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

10 10 55¢

11 11 66¢

12 12 78¢

13 13 91¢

14 14 $1.05

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

Day Daily Number Total Number of Glasses Sold

1 2 2

2 4 6

3 6 12

4 8 20

5 10 30

Wei

gh

t in

Ou

nce

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1 2 3 Week Number

4

24

68

10121416

1820

0

105

2015

3025

4035

5045

55

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irts

Red/White Striped

Yellow/Blue Striped

White

Color of Shirts

T-shirts

30��� 227– 210 17

790��� 460

– 450 10

5 21

406

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551 640� 80

118

389

429 248� 59

2

6 R35

7 R16 4 R12

5 R6

8 R45

6 R71 8

Input

Output

5

20

7

22

2

17

7

22

Input

Output

4

28

9

63

6

42

10

70

3

21

Input

Output

27

24

13

10

36

33

40

37

84

81

Input

Output

6

8

29

31

43

45

37

39

72

74

Input

Output

32

8

64

16

28

7

12

3

20

5

Input

Output

61

186

46

171

1,265

1,390

90

215

1,345

1,470

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

10 10 55¢

11 11 66¢

12 12 78¢

13 13 91¢

14 14 $1.05

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

Day Daily Number Total Number of Glasses Sold

1 2 2

2 4 6

3 6 12

4 8 20

5 10 30

Wei

gh

t in

Ou

nce

s

1 2 3 Week Number

4

24

68

10121416

1820

0

105

2015

3025

4035

5045

55

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Red/White Striped

Yellow/Blue Striped

White

Color of Shirts

T-shirts

30��� 227– 210 17

790��� 460

– 450 10

5

Problem Solving22 Possible answers include 7.5 or 7 1/2 projects. 23 4 packages 24 $320 25 8

Constructed Response26 Clayton needs to buy 5 cases. If he buys 4 cases, there will not be enough bottles for everyone since 32 × 4 = 128. However, if he buys 5 cases, each person will get a bottle and there will be 30 bottles left over. 27 A remainder can affect your answer because the answer may have to be a number less than or greater than the quotient. For example, in problem 26, you have to divide 130 by 32 to find out how many cases Clayton needs to buy. Since 130 ÷ 32 = 4 R2, Clayton will have to buy 5 cases in order for everyone to have a bottle.

Problem SolvingThe greatest number of checkers that each pile can have is 8 checkers: 3 piles of 8 red checkers and 7 piles of 8 black checkers.

Extension1 The greatest number of checkers that each pile can have is 6 checkers: 2 piles of 6 black checkers and 9 piles of 6 red checkers. 2 Answers will vary.

406

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551 640� 80

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429 248� 59

2

6 R35

7 R16 4 R12

5 R6

8 R45

6 R71 8

Input

Output

5

20

7

22

2

17

7

22

Input

Output

4

28

9

63

6

42

10

70

3

21

Input

Output

27

24

13

10

36

33

40

37

84

81

Input

Output

6

8

29

31

43

45

37

39

72

74

Input

Output

32

8

64

16

28

7

12

3

20

5

Input

Output

61

186

46

171

1,265

1,390

90

215

1,345

1,470

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

10 10 55¢

11 11 66¢

12 12 78¢

13 13 91¢

14 14 $1.05

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

Day Daily Number Total Number of Glasses Sold

1 2 2

2 4 6

3 6 12

4 8 20

5 10 30

Wei

gh

t in

Ou

nce

s

1 2 3 Week Number

4

24

68

10121416

1820

0

105

2015

3025

4035

5045

55

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Red/White Striped

Yellow/Blue Striped

White

Color of Shirts

T-shirts

30��� 227– 210 17

790��� 460

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5

Math textbook answer key Lessons 61–80

C A lv e r T e D u C AT i o n

04CMAKD

53

Cumulative Review1 450 2 9,537 3 19,740,000 4 45 5 18 R21 6 49,350 7 twenty-three thousand, four hundred fifty-six; 20,000 + 3,000 + 400 + 50 + 6 8 one million, nine hundred thousand, three hundred thirty-three; 1,000,000 + 900,000 + 300 + 30 + 3 9 four hundred thirty-two million, nine hundred eighty-seven thousand, twenty three; 400,000,000 + 30,000,000 + 2,000,000 + 900,000 + 80,000 + 7,000 + 20 + 3 10 39 pairs 11 $63 12 7¢ 13 no14

15 solid shirts 16 $2,260.85 17 $245, She saved $62.30 during the sale.

7.4 Problem-Solving Strategy: Identifying Missing or Extra FactsTry These1 missing fact: number of books read last month and this month; extra fact: She watched some movies. 2 extra facts: repairing 4 cable cars, used 3 cans of oil

Solve1 24 blocks 2 7 hours 3 c; $6 4 a; $13.60 5 d; $3.50 6 e; April 27 7 b; 4:30 pm

Test Prep8 c

7.5 Dividing by Two-Digit NumbersTry These1 4 R6 2 2 R21 3 7 4 3 R23

Exercises1 2 R4 2 1 R16 3 2 R28 4 8 R23 5 7 R41 6 9 R16 7 4 R24 8 5 R5 9 7 R64 10 8 R12 11 5 12 6 R7 13 5 R13 14 6 R48 15 5 R2 16 8 R90 17 4 R23 18 4 R8

Problem Solving19 7 albums 20 9 shelves

Test Prep21 d

Mixed Review22 18 R3 23 11 R5 24 8 R3 25 11 R1 26 23 27 180 R3 28 121 R5 29 101 R4

7.6 Two-Digit QuotientsTry These1 16 R6 2 12 R47 3 20 R17 4 27 R23 5 13 R24

Exercises1 31 R10 2 30 R14 3 16 4 22 R10 5 13 R30 6 14 R54 7 12 R5 8 19 R27 9 9 R3 10 30 R9 11 106 R12 12 231 R24 13 705 R5 14 457 R10

Problem Solving15 38 classes 16 93 points

Constructed Response17 No, because if you check the answer, (19 × 40) + 31 = 791, not 793. The correct answer is 19 R33.

406

685

551 640� 80

118

389

429 248� 59

2

6 R35

7 R16 4 R12

5 R6

8 R45

6 R71 8

Input

Output

5

20

7

22

2

17

7

22

Input

Output

4

28

9

63

6

42

10

70

3

21

Input

Output

27

24

13

10

36

33

40

37

84

81

Input

Output

6

8

29

31

43

45

37

39

72

74

Input

Output

32

8

64

16

28

7

12

3

20

5

Input

Output

61

186

46

171

1,265

1,390

90

215

1,345

1,470

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

10 10 55¢

11 11 66¢

12 12 78¢

13 13 91¢

14 14 $1.05

Minutes Pennies Total Amount Added Collected

1 1 1¢

2 2 3¢

3 3 6¢

4 4 10¢

5 5 15¢

6 6 21¢

7 7 28¢

8 8 36¢

9 9 45¢

Day Daily Number Total Number of Glasses Sold

1 2 2

2 4 6

3 6 12

4 8 20

5 10 30

Wei

gh

t in

Ou

nce

s

1 2 3 Week Number

4

24

68

10121416

1820

0

105

2015

3025

4035

5045

55

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mb

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irts

Red/White Striped

Yellow/Blue Striped

White

Color of Shirts

T-shirts

30��� 227– 210 17

790��� 460

– 450 10

5

C A lv e r T e D u C AT i o n

04CMAKD

54

Answer Keyslessons 61–80 Math Workbook

Chapter 6

Practice 69 – Related Facts1 C 2 F 3 E 4 A 5 B 6 D 7 30 ÷ 6 = 5; 30 ÷ 5 = 6; 5 × 6 = 30; 6 × 5 = 30 8 16 ÷ 4 = 4; 4 × 4 = 16 9 5 ÷ 5 = 1; 5 ÷ 1 = 5; 1 × 5 = 5; 5 × 1 = 5 10 10 ÷ 2 = 5; 10 ÷ 5 = 2; 5 × 2 = 10; 2 × 5 = 10 11 54 ÷ 9 = 6; 54 ÷ 6 = 9; 9 × 6 = 54; 6 × 9 = 54 12 72 ÷ 9 = 8; 72 ÷ 8 = 9; 8 × 9 = 72; 9 × 8 = 72 13 64 ÷ 8 = 8; 8 × 8 = 64 14 42 ÷ 7 = 6; 42 ÷ 6 = 7; 6 × 7 = 42; 7 × 6 = 42 15 63 ÷ 7 = 9; 63 ÷ 9 = 7; 9 × 7 = 63; 7 × 9 = 63 16 45 ÷ 9 = 5; 45 ÷ 5 = 9; 5 × 9 = 45; 9 × 5 = 45 17 49 ÷ 7 = 7; 7 × 7 = 49 18 28 ÷ 7 = 4; 28 ÷ 4 = 7; 4 × 7 = 28; 7 × 4 = 28 19 5 × 5 = 25 20 4 × 5 = 20 21 9 × 3 = 27 22 7 × 5 = 35 23 5 × 1 = 5 24 7 × 4 = 28 25 8 × 4 = 32 26 9 × 2 = 18 27 8 and 4; 2 and 16 28 24

Enrichment 70 – More Related Facts1 5; 5 × 3 = 15 2 8; 8 × 3 = 24 3 1; 1 × 4 = 4 4 8; 8 × 2 = 16 5 8 6 6 7 6 8 6 9 1 10 0 11 3 12 71 13 3 ÷ 3 = 1; 3 ÷ 1 = 3; 1 × 3 = 3; 3 × 1 = 3 14 27 ÷ 9 = 3; 27 ÷ 3 = 9; 9 × 3 = 27; 3 × 9 = 27 15 14 ÷ 7 = 2; 14 ÷ 2 = 7; 2 × 7 = 14; 7 × 2 = 14 16 24 ÷ 8 = 3; 24 ÷ 3 = 8; 3 × 8 = 24; 8 × 3 = 24 17 12 ÷ 4 = 3; 12 ÷ 3 = 4; 3 × 4 = 12; 4 × 3 = 12 18 54 ÷ 9 = 6; 54 ÷ 6 = 9; 6 × 9 = 54; 9 × 6 = 54 19 36 ÷ 4 = 9 students 20 45 ÷ 5 = 9 balloons 21 40 ÷ 5 = 8 bushes 22 $63 ÷ 9 = $7 23 30 ÷ 5 = 6 boxes 24 16 ÷ 4 = 4 people

Mixed Practice1 8,901 2 522 3 $298.37 4 84,984 5 9 ways: 1 row of 36 plants; 2 rows of 18 plants; 3 rows of 12 plants; 4 rows of 9 plants; 6 rows of 6 plants; 9 rows of 4 plants; 12 rows of 3 plants; 18 rows of 2 plants; 36 rows of 1 plant

Practice 71 – Missing Factors1 9; 9 2 4; 4 3 5; 5 4 3; 3 5 4; 4 6 6; 6 7 5; 5 8 2; 2 9 7; 7 10 8; 8 11 9; 9 12 3; 3 13 5; 5 14 4; 4 15 7; 7 16 9; 9 17 9; 9 18 7; 7 19 4; 4 20 6; 5 × 6 = 30 21 0; 8 × 0 = 0 22 7; 1 × 7 = 7 23 4; 8 × 4 = 32 24 2; 9 × 2 = 18 25 3; 6 × 3 = 18

Mixed Practice1 4,032 2 1,000 3 3,776 4 25,785 5 10,000 6 600 7 1,000 8 100,000

Enrichment 72 – Dividing by 2, 3, and 41 24 2 3 3 10 4 17 5 7 6 5 7 8

Practice 73 – Division Patterns1 7; 70; 700 2 9; 90; 900 3 6; 60; 600 4 70 5 200 6 50 7 700 8 300 9 70 10 40 11 30 12 20 13 500 14 500 15 500 16 30 17 600 18 90 19 70 20 80 21 800 22 800 23 500 24 20 pencils 25 70 golf balls

Practice 74 – Remainders and Checking1 5 R6 2 0 3 4 R1 4 4 R3 5 2 R1 6 3 R2 7 3 8 4 R1 9 6 R3 10 2 R8 11 9 12 8 R3 13 0 14 11 R2 15 9 R2 16 0 17 7 R7 18 8 R2 19 10 R2 20 5 R5 21 9 R2 22 4 R3 23 4 R1 24 5 R3 25 9 R1 26 7 pairs 27 4 weeks; 2 days

Practice 75 – Problem-Solving Application: Interpret Remainders1 3 CDs; $3 left over 2 6 bracelets 3 8 pots 4 5 necklaces 5 7 bags 6 $8 7 100 stools

Enrichment 76 – Brain TeasersA The cube is 3 times heavier than the pyramid. B 1 7:00 2 1:30 3 9:00 C 4,293 D 385 + 62 – 37 = 410 E 4 hangars

Practice 77 – Dividing with No Regrouping1 21 2 $11 3 41 R1 4 22 R1 5 $11 R4 6 31 R1 7 31 R1 8 32 R1 9 11 10 32 R1 11 $24 12 33 13 11 R3 14 11 R1 15 16 ÷ 4 = 4; 31 ÷ 4 = 7 R3; 85 ÷ 4 = 21 R1; 18 ÷ 4 = 4 R2; 24 ÷ 4 = 6; 47 ÷ 4 = 11 R3 16 42 ÷ 5 = 8 R2; 56 ÷ 5 = 11 R1; 25 ÷ 5 = 5; 18 ÷ 5 = 3 R3; 59 ÷ 5 = 11 R4; 35 ÷ 5 = 7

Practice 78 – Dividing with Regrouping1 28 R1 2 17 R4 3 36 4 19 R2 5 14 6 $16 7 17 8 15 R4 9 24 R1 10 26 R1 11 $15 12 38 13 12 14 14 R3 15 $16 16 15 R1 17 13

Mixed Practice1 21,512 2 2,772 3 2,523

Practice 79 – Estimating Quotients1 40 2 50 3 40 4 60 5 70 6 60 7 300 8 800 9 100 10 80 11 90 12 20 13 900 14 500

Practice 80 – Dividing Greater Numbers1 68 R3 2 76 R1 3 126 4 139 R3 5 186 R2 6 328 R1 7 613 R2 8 $848 9 989 10 1,326 R1 11 38 teams 12 37 people 13 2,164 shingles 14 74 comic books

Enrichment 81 – Order of Operations1 17 2 38 3 2 4 30 5 5 6 7 7 40 8 11 9 40 10 $2.06 11 12 pages

Math workbook answer key Lessons 61–80

C A lv e r T e D u C AT i o n

04CMAKD

55

Mixed Practice1 0, 8, 16, 24, 32, 40, 48, 56, 64, 72 2 1, 2, 3, 6, 9, 18 3 2,800 donuts 4 7 stickers 5 72 cans 6 3 stickers

Practice 82 – Zeros in the Quotient1 160 2 308 3 208 4 107 R1 5 206 6 70 R3 7 305 R2 8 203 9 20 R4 10 104 R1 11 105 R1 12 40 R1 13 39 plants 14 $15 per hour

Mixed Practice

1 627 2 $4,928 3 1,943 4 38

Practice 83 – Dividing with Money1 $1.37 2 $2.35 3 $22.80 4 $2.31 5 $2.00 6 $3.86 7 $6.28 8 $5.34 9 $0.74 10 $2.89 11 $0.06 12 $3.24 13 $0.21 14 $0.43 15 $11.74 16 $2.15 17 $4.69 18 $21.37 19 $0.34 20 $10.90 21 $32.15 22 $9.60

Practice 84 – Problem-Solving Strategy: Choosing the Operation1 $42.00 2 9 pigs 3 9 apples 4 50 stickers 5 9 teams 6 72 pictures 7 16 light bulbs 8 56 students 9 11 necklaces 10 $0.52 11 42 miles 12 3:05 P.M.

Review 85 – Chapter 6 Review1 5; 5 2 7; 7 3 9; 9 4 5; 5 5 28 ÷ 7 = 4; 28 ÷ 4 = 7; 7 × 4 = 28; 4 × 7 = 28 6 25 ÷ 5 = 5; 5 × 5 = 25 7 9 ÷ 1 = 9; 9 ÷ 9 = 1; 1 × 9 = 9; 9 × 1 = 9 8 5 9 4 R2 10 4 R3 11 10 12 5 13 50 14 600 15 70 16 $900 17 3,000 18 21 19 23 20 71 R1 21 51 R1 22 906 R1 23 $3.46 24 60 R5 25 825 R3 26 $15.98 27 422 28 117 29 101 R1 30 $9.69 31 70 32 60 33 40 34 50 35 9 pages; 1 card left over

Test 86 – Chapter 6 Test Prep1 b 2 d 3 a 4 c 5 c 6 a 7 d 8 a 9 b 10 c

Chapter 7

Practice 87 – Division Patterns1 8 2 2 3 6 4 3 5 70 6 30 7 40 8 30 9 90 10 60 11 40 12 70 13 7 14 50 15 40 16 7 17 20 18 50 19 7 schools 20 80 miles

Practice 88 – Estimating Quotients1 8 2 9 3 8 4 7 5 9 6 5 7 9 8 8 9 8 10 5 or 6 11 9 12 8 13 9 14 8 15 2 16 7 17 8 18 9 19 8 20 3 21 6 22 9 23 9 24 9 25 quotient 26 26 eggs 27 1,552 points 28 Ned; 2 inches taller

Mixed Practice1 200 2 4,000 3 157 4 4,165 5 8,131

Practice 89 – Dividing by Multiples of 101 2 R17 2 8 R26 3 4 R16 4 4 R17 5 7 R36 6 6 R15 7 8 R23 8 9 R32 9 9 R38 10 8 R48 11 5 R11 12 5 R5 13 6 R20 14 2 R13 15 7 R18 16 3 R37 17 2 R25 18 5 R29 19 5 R23 20 6 R17 21 7 R24 22 3 R33 23 9 R52 24 9 R19 25 5 R26 26 5 R33 27 2 R18 28 8 R48

Mixed Practice1 41 bulbs 2 $4.02 3 18 doughnuts

Enrichment 90 – More Dividing by Multiples of 101

GL ; LG

MH ; HM

SC ; CS

AI ; IA

LS ; SL

KB ; BK

YZ ; ZY

IS ; SI

BD, AB, BF

BD or AE

DE

AB

AE

FE; ray FE�W; �ZWX; �XWZ; obtuse

TU; ray TU

�N; �MNO; �ONM; right

�V; �HVJ; �JVH; acute

QP; ray QP

�L; �KLO; �OLK; obtuse

�A; �BAT; �TAB; right

�D; �SDB; �BDS; right

WV; ray WV

�A; �TAV; �VAT; acute

�G; �CGD; �DGC; acute

2

GL ; LG

MH ; HM

SC ; CS

AI ; IA

LS ; SL

KB ; BK

YZ ; ZY

IS ; SI

BD, AB, BF

BD or AE

DE

AB

AE

FE; ray FE�W; �ZWX; �XWZ; obtuse

TU; ray TU

�N; �MNO; �ONM; right

�V; �HVJ; �JVH; acute

QP; ray QP

�L; �KLO; �OLK; obtuse

�A; �BAT; �TAB; right

�D; �SDB; �BDS; right

WV; ray WV

�A; �TAV; �VAT; acute

�G; �CGD; �DGC; acute

3

GL ; LG

MH ; HM

SC ; CS

AI ; IA

LS ; SL

KB ; BK

YZ ; ZY

IS ; SI

BD, AB, BF

BD or AE

DE

AB

AE

FE; ray FE�W; �ZWX; �XWZ; obtuse

TU; ray TU

�N; �MNO; �ONM; right

�V; �HVJ; �JVH; acute

QP; ray QP

�L; �KLO; �OLK; obtuse

�A; �BAT; �TAB; right

�D; �SDB; �BDS; right

WV; ray WV

�A; �TAV; �VAT; acute

�G; �CGD; �DGC; acute

4

GL ; LG

MH ; HM

SC ; CS

AI ; IA

LS ; SL

KB ; BK

YZ ; ZY

IS ; SI

BD, AB, BF

BD or AE

DE

AB

AE

FE; ray FE�W; �ZWX; �XWZ; obtuse

TU; ray TU

�N; �MNO; �ONM; right

�V; �HVJ; �JVH; acute

QP; ray QP

�L; �KLO; �OLK; obtuse

�A; �BAT; �TAB; right

�D; �SDB; �BDS; right

WV; ray WV

�A; �TAV; �VAT; acute

�G; �CGD; �DGC; acute

5 The answer should be 8 R39.

Practice 91 – Problem-Solving Strategy: Identifying Missing or Extra Facts1 a 2 a 3 c 4 b 5 missing fact: how much money Fran has 6 missing fact: how long it took Norma to run the race 7 extra fact: how much each ticket costs 8 extra fact: how many socks of each color he bought 9 6:40 P.M. 10 1 hour and 50 minutes 11 8 planes

Practice 92 – Dividing by Two-Digit Numbers1 7 2 4 R1 3 6 R62 4 9 R10 5 2 R26 6 6 R13 7 5 R45 8 7 9 6 10 7 R32 11 9 R5 12 7 R24 13 8 R24 14 3 R4 15 3 16 7 R23 17 8 R25 18 1 R39 19 5 20 9 R33 21 1 R21 22 4 23 6 R15 24 6 R27 25 9 R15

Practice 93 – Two-Digit Quotients1 34 R6 2 37 R6 3 30 R17 4 32 R13 5 14 R23 6 11 R26 7 13 R18 8 57 R2 9 27 R7 10 11 R56 11 22 R8 12 8 R39 13 23 R12 14 18 R2 15 Yes; 21 times 40 is 840 plus 23 is 863. 16 No, 17 times 50 is 850 plus 29 is 879. The remainder should be 28.

Review 97 – Chapter 7 Review1 6 2 4 3 7 4 8 5 5 6 50 7 9 8 30 9 9 R26 10 15 R2 11 $1.12 12 11 R7 13 1 R11 14 $11.00 15 13 R5 16 12 R13 17 extra fact: how long he played basketball 18 missing fact: how tall Samantha is 19 411 students 20 3 hours and 30 minutes

Test 98 – Chapter 7 Test Prep1 c 2 d 3 a 4 c 5 a 6 d 7 b 8 d 9 a 10 c

C A lv e r T e D u C AT i o n

04CMAKD

56

Answer Keyslessons 61–80 Math Manual

Lesson 63Enrichment5, 15

Lesson 64Enrichment1 2 ÷ 2 = 1 × 1 2 8 ÷ 1 = 4 × 2 3 9 + (6 ÷ 2) = (5 × 2) + 2 4 (14 ÷ 7) + 3 = (0 × 9) + 5

Lesson 66Enrichment

seventh review Lesson1 true 2 true 3 false; It is the quotient. 4 true 5 false; The remainder is money and needs the proper sign. 6 false; When this happens, it is an indication that the quotient is too small. 7 false; There are four basic operations–addition, subtraction, multiplication, and division. 8 false; The answer is the divisor. 9 true 10 false; To get full credit, a constructed response should state the correct answer, plus include a well-written explanation of how the solution was obtained. 11 false; The answer is the remainder. 12 true

Lesson 70Warm-upOutput (first table): 9, 61, 812, 921; Output (second table): 6, 41, 628, 974

Enrichment

Lesson 71Warm-upOutput: 102, 203, 407, 510, 606

EnrichmentThe best buy is 8 oz for $1.12. I decided this by dividing to find out the price per ounce:

The 8-oz size is $0.14 per ounce. This is $0.01 less per ounce than the 3-oz size. This is $0.02 less per ounce than the 6-oz size.

Lesson 72Enrichment1 (8 – 2) × 2 × 3 = 36 2 12 × 4 ÷ 8 × 9 = 54

Output Input

18 3

30 5

42 7

54 9

66 11

Rule: Divide by 6 or y = x ÷ 6

÷ 4 6 8

24 6 4 3

48 12 8 6

72 18 12 9

3����$0.15

$0.45 – 3 15 – 15 0

6����$0.16

$0.96 – 6 36 – 36 0

8����$0.14

$1.12 – 8 32 – 32 0

Size Price

3 oz $0.456 oz $0.968 oz $1.12

Lesson 71

September, April, June, November

30

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30

13 symbols a month 13 � 4 = 52

January, March,May, July, August,October, December 31

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31

13 + 1 = 14 Symbols a month

14 � 7 = 98

February 28

13 symbols

+ 13

total: 163

She will need

163 symbols.

3����$0.15

$0.45 – 3 15 – 15 0

6����$0.16

$0.96 – 6 36 – 36 0

8����$0.14

$1.12 – 8 32 – 32 0

Size Price

3 oz $0.456 oz $0.968 oz $1.12

Lesson 71

September, April, June, November

30

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30

13 symbols a month 13 � 4 = 52

January, March,May, July, August,October, December 31

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31

13 + 1 = 14 Symbols a month

14 � 7 = 98

February 28

13 symbols

+ 13

total: 163

She will need

163 symbols.

3����$0.15

$0.45 – 3 15 – 15 0

6����$0.16

$0.96 – 6 36 – 36 0

8����$0.14

$1.12 – 8 32 – 32 0

Size Price

3 oz $0.456 oz $0.968 oz $1.12

Lesson 71

September, April, June, November

30

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30

13 symbols a month 13 � 4 = 52

January, March,May, July, August,October, December 31

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31

13 + 1 = 14 Symbols a month

14 � 7 = 98

February 28

13 symbols

+ 13

total: 163

She will need

163 symbols.

3����$0.15

$0.45 – 3 15 – 15 0

6����$0.16

$0.96 – 6 36 – 36 0

8����$0.14

$1.12 – 8 32 – 32 0

Size Price

3 oz $0.456 oz $0.968 oz $1.12

Lesson 71

September, April, June, November

30

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30

13 symbols a month 13 � 4 = 52

January, March,May, July, August,October, December 31

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31

13 + 1 = 14 Symbols a month

14 � 7 = 98

February 28

13 symbols

+ 13

total: 163

She will need

163 symbols.

Math ManuaL answer key Lessons 61–80

C A lv e r T e D u C AT i o n

04CMAKD

57

Lesson 73Skill Development1 4 × 7 = 28, 7 × 4 = 28, 28 ÷ 4 = 7, 28 ÷ 7 = 4 2 700 3 divisor: 3; dividend: 26; quotient: 8 R2 4 Multiply 8 times 3 and add 2. The answer should be 26. 5 240 6 about 40 7 addition, subtraction, multiplication, and division

EnrichmentRANGE. Letters of crossed-out problems: M, C, Q, W, P, Z, L

Lesson 74Enrichment8,016; 0816; 8,160

Lesson 75Warm-upSample answer: Each time a zero is added in the dividend, the number of zeros in the quotient increases.

Lesson 76Warm-upA 90 ÷ 30 = 3 E 800 ÷ 20 = 40 I 100 ÷ 50 = 2 M 630 ÷ 70 = 9 S 300 ÷ 60 = 5 T 60 ÷ 10 = 6; ESTIMATE

Lesson 77Enrichment1 x = 8 2 x = 48 3 x = 53 4 x = 5

Lesson 78Enrichment1 b 2 c 3 e 4 a 5 d

Lesson 79EnrichmentOutput: 44, 22, 11