Numbers and Operations—Fractions: Decimals – AP Book 4.2: Unit 7 5. page 106 1. b) 5¢ = $0.05 c) 43¢ = $0.43 d) 87¢ = $0.87 e) 54¢ = $0.54 f) 2. 3. c) $30 7¢ $30.07 d) $26 11¢ $26.11 7. Teacher to check drawings. Three $1 bills + two 25¢ coins. 8. 7 $0.47 page 108 c) 3 2 5 $3.25 1. d) 0 0 3 $0.03 c) 4¢, circle 6 ¢ e) 28 1 6 $28.16 d) 598¢, circle $5.98 b) 100¢, circle 101¢ a) 300 ¢ e) 605¢, circle 650¢ b) 60¢ f) 328¢ d) 100¢ b) 970¢ 982¢ e) 700¢ c) 875¢ 863¢ f) 2. d) 1,260¢ 1,200¢ g) 1,500¢ e) 89¢ 3. b) = 20¢ = $0.20 c) = 60¢ = $0.60 j) 98¢ d) = 4¢ e) = 13¢ = $0.13 l) f) 8¢ g) = 25¢ = $0.25 c) $2.16 h) = 75¢ = $0.75 d) $3.75 i) = 80¢ = $0.80 e) $3.00 j) = 100¢ = $1.00 $0.04 3. 4. 5. 34 100 b) 7 dimes = 70 pennies l) 4. b) = 700¢ = $7.00 The greater amount is 168¢ because in dollar notation, it is $1.68 and that is greater than $1.65. = 70 100 10. Explanations may vary. Sample answer: Rocco is incorrect because while 17 is greater than 8, 17/100 is less than 8/10 because when they are compared in hundredths, 17/100 is less than 80/100. AP Book NF4-22 page 111 1. b) c) 80 = 100 d) 2. 50 = 100 60 0.3 8 10 0.8 2 10 0.2 b) 0.7 c) 0.6 6 60 100 c) 9 10 9 90 90 100 3. Teacher to check shading of fractions. d) 3 10 3 30 30 100 4. Teacher to check number lines. 5. b) Answers may vary. Sample explanation: No, Sarah is not correct beause while 37 coins is a larger number of coins, the value of 37 pennies is less than 5 dimes. In cent notation, it is clear that 37¢(37 pennies) is less than 50¢ (5 dimes). d) 0.9 c) d) e) Teacher to check shading. 46 100 0.46 18 100 0.18 50 100 0.50 47 100 0.47 BONUS 30 100 96 100 b) 50 100 6. b) 8 10 7. a) 36 hundredths 36 100 6. 80 100 b) 72 hundredths 72 100 8. 3 10 6 10 a) k) $12.00 V-22 d) 5 10 k) = 500¢ = $5.00 g) $0.07 $16.04 60 6 or 100 10 Teacher to check shading and circling. d) 5 dimes = 50 pennies = 25¢ = $0.25 b) $1.03 l) c) 8 10 = $0.04 k) 3¢ $0.99 30 3 or 100 10 300¢ 151¢ i) b) 9 c) 8 dimes = 80 pennies 1,206¢ i) $6.00 4 100 87¢, circle 187¢ a) 385¢ i) a) 7 10 4 h) $0.90 1. AP Book NF4-20 0 f) page 109 Five $1 bills and one quarter One 5$ bill and five nickels. b) h) 199¢ AP Book NF4-21 2. 1¢ = $0.01 c) 9¢ 4. $20.55 Quarters h) 75¢ = $0.75 i) 55¢ 6. 9¢ = $0.09 g) 2¢ = $0.02 b) $20 Teacher to check shading. 0.96 a) 0.18 b) 0.09 c) 0.90 7. Teacher to check number line. b) 0.06 < 0.24 < 0.45 < 0.70 Answer Keys for AP Book 4.2 COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION AP Book NF4-19 Numbers and Operations—Fractions: Decimals – AP Book 4.2: Unit 7 AP Book NF4-23 8. page 113 1. 2. Teacher to check shading. b) 90 100 0.90 c) 60 100 0.60 b) c) 0.40 1. a) Teacher to check number line. 0.05 < 0.27 < 0.40 1. = 0.6 = 0.60 b) = 0.77 c) = 0.3 = 0.30 d) = 0.09 3. 0 tenths, 2 hundredths 2 = 0.02 100 b) 8 tenths, 3 hundredths = 83 hundredths 7 2 and 0.02 = 100 10 should be circled. 4. 2. 3. f) 4. 0.19 1 dimes 9 pennies 1 tenth, 9 hundredths 19 pennies 19 hundredths 3. A 3 tenths, 7 hundredths = 37 hundredths Circle 0.3 B 8 tenths, 4 hundredths = 84 hundredths 3 10 + 4 100 = 34 100 c) 2 10 + 100 = 25 100 5 Teacher to check shading. b) 8 10 + 100 = 7 87 100 c) 6 10 + 100 = 2 62 100 d) 7 10 + 100 = 6 76 100 Teacher to check shading. c) 0.40 + 0.09 = 0.49 5. 0.3 3 dimes 0 pennies 3 tenths 0 hundredths 30 pennies 30 hundredths d) 0 tenths, 2 hundredths = 2 hundredths b) b) 0.4 + 0.3 = 0.7 a) 0.6 6 dimes 0 pennies 6 tenths 0 hundredths 60 pennies 60 hundredths 0.18 1 dimes 8 pennies 1 tenth 8 hundredths 18 pennies 18 hundredths c) 7 tenths, 0 hundredths = 70 hundredths 1. e) 0.09 0 dimes 9 pennies 0 tenths, 9 hundredths 9 pennies 9 hundredths b) 0.8 8 dimes 0 pennies 8 tenths 0 hundredths 80 pennies 80 hundredths e) 0 tenths, 8 hundredths 8 = 0.08 100 0.7 = Answer Keys for AP Book 4.2 2. d) 6 tenths, 0 hundredths 60 = 0.60 100 f) page 118 d) 0.03 0 dimes 3 pennies 0 tenths, 3 hundredths 3 pennies 3 hundredths b) 2 tenths, 8 hundredths 28 = 0.28 100 c) 4 tenths, 1 hundredths 41 = 0.41 100 = 30 100 a) b) 47 hundredths = 4 tenths 7 hundredths 87 = 0.87 100 a) 0.7 = 7 = 70 10 100 b) 0.62 6 dimes 2 pennies 6 tenths, 2 hundredths 62 pennies 62 hundredths c) 0.48 4 dimes 8 pennies 4 tenths, 8 hundredths 48 pennies 48 hundredths d) 87 hundredths = 8 tenths 7 hundredths 2. 32 100 50 0.5 = 100 Will is incorrect because 50 is greater than 32. 0.32 = AP Book NF4-26 page 117 76 = 0.76 100 c) 0.09 = 9 100 COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION = 59 100 4. AP Book NF4-25 c) 76 hundredths = 7 tenths 6 hundredths 6 tenths 60 hundredths 0.6 = 0.60 b) 0.48 = 48 100 7. = 16 100 47 = 0.47 100 b) Teacher to check number line. 0.05 < 0.08 < 0.80 6. b) 58 cm = 0.58 m = 58 100 m page 115 0.4 2 tenths 20 hundredths 0.2 = 0.20 d) 0.3 6. 0.70 C 7 tenths 70 hundredths 0.7 = 0.70 5. = 70 100 Teacher to check number lines. 0.7 > 0.59 0.7 b) 0.20 < 0.40 < 0.70 4. = 20 100 5. AP Book NF4-24 4 40 10 100 B = 73 100 0.2 > 0.16 iii) A = 40 100 0.4 < 0.73 a) ii) 7 70 10 100 3. a) (continued) 6. a) 80 100 b) 70 100 c) 40 100 d) 30 100 a) 23 100 b) 45 100 c) 72 100 d) 68 100 a) 53 100 b) 37 100 c) 92 100 V-23 Numbers and Operations—Fractions: Decimals – AP Book 4.2: Unit 7 f) 6 17100 85 100 g) 193100 a) 74 100 BONUS b) 69 100 7 c) 19 100 4. 9. 4 1000 a) hundredths a) seven and four tenths 39 100 6. 7 4 10 b) = 6 R 84 AP Book NF4-27 84 7. c) b) 12.5 d) a) 10 = 64.2 e) c) 100 f) 10,000 b) c) d) e) V-24 9 4 7 100 15 18 100 4 13 10 2. 6.40 8. 3. 64 a) 1 100 a) 5 2. 5. Sample answer: Yes, 0.3 of a square can be more than 0.4 of another square if the two squares are different sizes. b) 708 100 c) 860 100 23 tenths 14 tenths So 2.3 – 1. 4 = 9 tenths = 9 10 = 0.9 3. a) Answer may vary. b) Answers may vary. c) Teacher to check. 4. b) 300 308 c) 48 56 d) Sample answer: 0.25 is not more than 0.40, but 0.25 dollars is more than 0.40 dimes. Sample answer: Sarah is not correct. Although 0.25 appears to be more because more is shaded, it is 0.25 of 100 (hundredths), while 0.3 is 0.30 in hundredths, which is greater. 53 9 100 So 2.3 + 1.4 = 37 tenths = 37 10 = 3.7 a) 4 4. 7 5 100 9 + 0.53 = 9.53 c) Rashida 8 e) 708 10 d) 1 10 b) 8 10 5 + 0.07 = 5.07 6.70 b) 25 42100 d) 6,004 100 c) 750 100 7.50 67 10 2 2 + 0.8 = 2.8 c) Naomi 5 100 a) 38 10 7.5 b) 59.40 b) 50 = 42.08 81 6 10 1. = 5.64 BONUS 3100 d) 64 640 10 100 page 122 2 10 6 a) 1. page 123 AP Book NF4-28 1 10 d) 46.03 b) 100 3. 4 = 4.1 c) 8.45 2. 3.90 6 100 page 120 a) 3.4 c) 39 390 10 100 h) 30.8 308 3080 10 100 a) = 7 R 4 No, he did not bike more than a kilometer. AP Book NF4-29 g) 6.7 d) 20.4 99 100 km 3.80 f) c) 74.11 Sample answer: Yes, 0.3 on one number line can be farther right than 0.5 on another number line, depending on the size and spacing of either number line. b) 38 380 10 100 e) 594 5940 10 100 b) four and nine hundredths BONUS 1. 9. d) tenths 5. 47 100 6. h) 904 10 c) hundredths 93 100 175 10 g) 3,189 100 45 b) tenths BONUS 8. f) d) Centimeters are more like cents because there are 100 centimeters in a meter just like there are 100 cents in a dollar. Ounces are less like cents because there are 16 ounces in a pound. 5. 2 + 0.8 + 2.09 = 4.89 Gia biked 4.89 km altogether. 6. 24 100 Answer Keys for AP Book 4.2 COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION 7. BONUS (continued)
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