A STORY OF UNITS. Mathematics Curriculum GR A D E. Answer Key GRADE 5 MODULE 1. Place Value and Decimal Fractions

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1 5 GR A D E Mathematics Curriculum GRADE 5 MODULE 1 Answer Key GRADE 5 MODULE 1

2 Lesson 1 Answer Key 5 1 Lesson 1 Sprint Side A , , , , , , , , , , , , , , ,800 Side B , , , , , , , , , , , , , , ,700 1

3 Lesson 1 Answer Key a. Answer provided 3. 7,234,000; explanations will vary. b c a = ; explanations will d. Explanations will vary. vary. 2. a. Answer provided cm; explanations will vary. b c..345 d. Explanations will vary. 1. a b a. Answer provided 3. 8,912,000 b c a = ; explanations will d. Explanations will vary. vary. 2. a. Answer provided m; explanations will vary. b c d. Explanations will vary. 2

4 Lesson 2 Answer Key 5 1 Lesson 2 1. a. 540, a b. 5,400 b c. 87 c d d. Explanations will vary. e Explanations will vary; f ,000,000 = 10 32,000,000; explanations g. 3,120 will vary. h a. 193,400 b. 1,934,000 c. 19,340,000 d. Explanations will vary. 1. a. 321 b a. 455,000 b

5 Lesson 2 Answer Key a. 360, b. 3, c. 43 Explanations will vary. d No; = 30; explanations will vary. e ,700, = 170,000 km 2 ; explanations will f vary. g. 4,540 h a. 145,600 b. 1,456,000 c. 14,560,000 d. Explanations will vary. 2

6 Lesson 3 Answer Key 5 1 Lesson 3 Sprint Side A Side B

7 Lesson 3 Answer Key a Explanations will vary. b a. 3; 300; 3000 c b. 650; d c. 94,300; 943; e d. 999,000; 9,990,000; 99,900,000 f e ; 7,500,000; 750,000, a f. Explanations will vary. b. 390,000 g. Explanations will vary. c a. Explanations will vary. d. 7,200 b. Explanations will vary. e f. 402,500 g h Explanations will vary. 1. a ; b ; a. 300 b. 21,600 c. 0.8 d

8 Lesson 3 Answer Key a a. 2; 200; 2000 b b. 340; c c. 85,700; 857; d d. 444,000; 4,440,000; 44,400,000 e e ; 9,500,000; 950,000,000 f Answers will vary; 10 4 = = 2. a. 4,000 10,000 b. 640, a. Answers will vary. c. 53 b = 0.247; = 247,000 d. 5,300 e. 6,072 f. 607,200 g h

9 Lesson 4 Answer Key 5 1 Lesson 4 1. a. Answer provided. 3. a b. 1.05; = 1.05 b. 0.08; c. 1.68; 168; = 168 c ; d. 80; 0.8; = 0.8 d. 50; e. 9.2; 920; = 920 e. 0.2; f. 4; 0.04; = m = 4,750 mm; = 4,750 g. a, c, e 5. 1 cm = 0.01 m; = a. 3; 3,000; = 3, Explanations will vary. b. 1.2; 1,200; = 3,000 c. 1,020; 1.02; 1, = 1.02 d. 97; 0.097; = e. 7.28; 7,280; = 7,280 f. 4; 0.004; = g. c, d, f 1. f ; 200 g ; a. 390 cm b m 1

10 Lesson 4 Answer Key a. Answer provided. 3. a. 2638; answer provided. b. 108; 1.08; b. 0.07; c. 2.49; 249; c ; d. 50; 0.50; d. 80; e. 6.3; 630; e. 0.5; f. 7; 0.07; m = 1490 mm; g. b, d, f 5. 2 cm = 0.02 m; a. 4; 4000; mm = m; b. 1.7; 1700; c. 1050; 1.050; d. 65; 0.065; e. 4.92; 4920; f. 3;.003; g. a, b, c 2

11 Lesson 5 Answer Key 5 1 Lesson 5 Sprint Side A , , , , , , , , , , , Side B , , , , , , , , , , ,

12 Lesson 5 Answer Key a. Answer provided. 3. a. Answer provided. b b. c c. d e a f b g c. 4, h Both of them; explanations will vary. 2. a. 5 thousandths b. Eleven and thirty-seven thousandths c. Four hundred three and six hundred eight thousandths Twenty-four and three hundred fifty-seven thousandths a b. 2 tens 4 ones 3 tenths 5 hundredths 7 thousandths 2

13 Lesson 5 Answer Key a. Answer provided. 4. a b b c c. 5, d a e b f Nancy: g h Charles: a. Eight thousandths b. Fifteen and sixty-two thousandths c. Six hundred seven and four hundred nine thousandths 3. a. Answer provided. b c

14 Lesson 6 Answer Key 5 1 Lesson 6 1. <; >; completed place value chart; explanations 3. a. 3.04; 3.049; 3.05; will vary. b ; ; ; a. < 4. a. 7.68; 7.608; 7.6; b. = b ; ; ; c. = 5. No; answers will vary; Angel has L, d. = but Lance has L. e. > 6. Dr. Hong prescribes the most; Dr. Evans f. = prescribes the least; explanations will vary. g. > h. < i. < j. < k. < 1. < ; ; ; < 1. a. < 2. a ; 8.08; 8.081; 8.09 b. = b ; ; ; c. = 3. a. 8.58; 8.508; 7.5; d. < b ; ; ; e. > 4. James hand was bigger; explanations will vary. f. = 5. Salvador s plane traveled the farthest distance; g. < Jennifer s plane traveled the shortest distance; h. > explanations will vary. i. < j. < 1

15 Lesson 7 Answer Key 5 1 Lesson 7 Sprint Side A Side B

16 Lesson 7 Answer Key ones + 1 tenth; 31 tenths; 310 hundredths 3. 9 tenths + 9 hundredths + 4 thousandths; 99 a. 310 hundredths = 3.1 hundredths + 4 thousandths; 944 thousandths b. 31 tenths = 3.1 a. 99 hundredths = 0.99 c. 0 tens b. 10 tenths = tens + 5 ones + 3 tenths + 7 hundredths + 6 c. 1 one = 1 thousandths; 115 ones + 3 tenths + 7 d. 0 tens = 0 hundredths + 6 thousandths; 1,153 tenths m hundredths + 6 thousandths; 11, Explanations will vary. hundredths + 6 thousandths a. 11,538 hundredths = b. 115 ones = 115 c. 12 tens = a. 855 hundredths = 8.55 b. 1 ten = a. 430 hundredths = a. 898 hundredths = 8.98 b. 43 tenths = 4.3 b. 90 tenths = 9.0 c. 4 ones = 4 c. 9 ones = 9 2. a. 22,529 hundredths = d. 1 ten = 10 b. 225 ones = a m c. 23 tens = 230 b. 1,838.6 cm 5. Explanations will vary. 2

17 Lesson 8 Answer Key 5 1 Lesson 8 1. a. 32.7; 32.70; a ; explanations will vary. b ; ; 14; 100 b ; explanations will vary. 2. 1, a b a. 43.6; 43.59; 44 b ; ; 240; miles 3. a ; explanations will vary. b ; explanations will vary. 1

18 Lesson 9 Answer Key 5 1 Lesson 9 Sprint Side A Side B

19 Lesson 9 Answer Key a. 3; a b. 23; 2; 3; 2.3 b c. 3;0.03 c d. 32; 3; 2; 0.32 d e. 3; e f. 43; 4; 3; f g. 603; ; h. 76; km i. 9007; Pedometer and math apps; explanations will vary. 1. a. 12; 1; 2 1. b. 72; 7; a b a a. 1.1 b. 21; 2; 1 b c. 7 c d. 34; 3; 4 d e. 7 e f. 44; 4; 4 f g a. 4,133 km h. 48 b km i. 6, $

20 Lesson 10 Answer Key 5 1 Lesson a. 3; a b. 3; 9; b. 0.8 c. 7; 4; c. 2.5 d. 21; d a. 0.7 e b f c No; explanations will vary; 0.47 d $0.37 e f ; 8; 9; a b a a b. 6; 2 b. 3.4 c. 4; 3 c. 1.1 d. 33; 3; 3 d a. 0.9 e b f c No; explanations will vary; 0.75 d $3.89 e f /7/14 1

21 Lesson 11 Answer Key 5 1 Lesson a = a. 21; 0.7; b = 0.1 b = 25.5 c = 1.8 c = d = 0.24 d = 80.3 e = Models will vary; 18.2 f = $ = ones; 6 tenths; 3 hundredths; 3; 9; 6; 3; 27 ones + 18 tenths + 9 hundredths = a = a. 24 ones; 28 tenths; 36 hundredths; b = 0.2 b = c = 2.8 c = d = 0.15 d = e = No; area models will vary; 34.4 f = $

22 Lesson 12 Answer Key 5 1 Lesson 12 Sprint Side A Side B

23 Lesson 12 Answer Key a. Circle 10; answers will vary m; 3 m; answer will vary. b. Circle 21.98; answers will vary km; km; accurate work shown c. Circle ; answers will vary is about $400; answers will vary. d. Circle 49.32; answer will vary. 1. a. Circle 10.2 b. Circle About 42; answers will vary. 1. a. Circle 6.3; answers will vary kg b. Circle 25.62; answers will vary. 3. $ c. Circle ; answers will vary. 4. $50.64 d. Circle 43.38; answers will vary. 2

24 Lesson 13 Answer Key 5 1 Lesson 13 Sprint Side A Side B

25 Lesson 13 Answer Key a. 4; a. 4; 0.4 b. 4; 0.04 b. 9; c. 12; a. No; explanations will vary; 0.8 d. 4; 0.4 b. No; explanations will vary; 8 2. a. 42; 6; 0.6 c. Yes; explanations will vary. b. 2; 64; 1; 32; doses or 3 full doses c. 12; 64; 6; 32; $0.41 d. 42; 6; 7 tenths + 1 hundredth; 0.71 e. 42 tenths thousandths 6; 7 tenths + 6 thousandths; a. 9; 0.9 b. 8; 0.08 c. 3; a. 45; 9; 0.9 b. 6; 12; 1; 2; a. 5; a. 3; 0.3 b. 4; 0.04 b. 6; c. 9; a. No; explanations will vary; a. 9; 36; 3; 12; 3.12 b. Yes; explanations will vary. b. 36; 12; 12; 4; c. No; explanations will vary; 9 c. 35; 5; 7 tenths + 1 hundredth; $1.21 d. 35 tenths thousandths 5; L tenths+ 9 thousandths;

26 Lesson 14 Answer Key 5 1 Lesson a Explanations will vary; 0.21 b m 2. a $0.12; accurate tape diagram shown. b c a $13.56 b lb 2. a b c

27 Lesson 15 Answer Key 5 1 Lesson 15 Sprint Side A , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,007.9 Side B , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,

28 Lesson 15 Answer Key a kg b L 2. a b c. 1.5 d e f a m b gal 2. a b c d e f

29 Lesson 16 Answer Key 5 1 Lesson 16 Sprint Side A , , , , , , , , , , , , , , , Side B , , , ,

30 Lesson 16 Answer Key a. $ lb b. $42 5. a kg 2. Ava: 112 cm b. 3; explanations will vary. Olivia: 89 cm 3. $ Word problems will vary; Jim s dog weighs 5.41 lb; of John s dog s weight is lb m lb 2. a. $ L b. $1,

a) 1/2 b) 3/7 c) 5/8 d) 4/10 e) 5/15 f) 2/4 a) two-fifths b) three-eighths c) one-tenth d) two-thirds a) 6/7 b) 7/10 c) 5/50 d) ½ e) 8/15 f) 3/4

a) 1/2 b) 3/7 c) 5/8 d) 4/10 e) 5/15 f) 2/4 a) two-fifths b) three-eighths c) one-tenth d) two-thirds a) 6/7 b) 7/10 c) 5/50 d) ½ e) 8/15 f) 3/4 MATH M010 Unit 2, Answers Section 2.1 Page 72 Practice 1 a) 1/2 b) 3/7 c) 5/8 d) 4/10 e) 5/15 f) 2/4 Page 73 Practice 2 a) two-fifths b) three-eighths c) one-tenth d) two-thirds e) four-ninths f) one quarter

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