GRADE 5 ⢠MODULE 1
New York State Common Core
5 GRADE
Mathematics Curriculum GRADE 5 • MODULE 1
Answer Key
GRADE 5 • MODULE 1 Place Value and Decimal Fractions
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 1 Sprint Side A 1.
120
12. 920
23. 340
34. 560
2.
140
13. 180
24. 1,340
35. 4,560
3.
150
14. 190
25. 2,340
36. 5,560
4.
170
15. 200
26. 3,340
37. 9,500
5.
810
16. 300
27. 8,340
38. 9,500
6.
810
17. 400
28. 8,340
39. 160
7.
210
18. 800
29. 450
40. 600
8.
220
19. 800
30. 1,450
41. 4,930
9.
230
20. 500
31. 2,450
42. 840
10. 290
21. 900
32. 3,450
43. 960
11. 920
22. 700
33. 9,450
44. 5,800
Side B 1.
130
12. 830
23. 430
34. 650
2.
140
13. 280
24. 1,430
35. 4,650
3.
150
14. 290
25. 2,430
36. 5,650
4.
190
15. 300
26. 3,430
37. 9,600
5.
910
16. 400
27. 7,430
38. 9,600
6.
910
17. 500
28. 7,430
39. 170
7.
310
18. 900
29. 540
40. 700
8.
320
19. 900
30. 1,540
41. 5,820
9.
330
20. 200
31. 2,540
42. 730
10. 380
21. 600
32. 3,540
43. 980
11. 830
22. 800
33. 8,540
44. 4,700
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. Answer provided
3.
7,234,000; explanations will vary.
b. 345.2
4.
320.04
c. 3452
a. 3200.4 ÷ 10 = 320.04; explanations will
d. Explanations will vary. 2.
vary.
a. Answer provided
5.
9.5 cm; explanations will vary.
a. Answer provided
3.
8,912,000
b. 728.1
4.
2800.3
b. 3.45 c. .345 d. Explanations will vary.
Exit Ticket 1.
a. 667.1 b. 0.684
Homework 1.
c. 9254
a. 28.003
d. Explanations will vary. 2.
100 = 2800.3; explanations will
vary.
a. Answer provided
5.
251 m; explanations will vary.
b. 6.78 c. 0.067 d. Explanations will vary.
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 2 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2 Problem Set 1. 1.
a. 540,000
1. 3.
a. 15.2
b. 5,400
2.
b. 1.52
c. 87
3.
c. 0.152
d. 0.87
4.
d. Explanations will vary.
e. 13
5. 4.
Explanations will vary;
f.
6. 5.
320,000,000 = 10
g. 3,120
7.
will vary.
h. 40.312
8.
2. 2.
a. 193,400
9.
3.
b. 1,934,000
4.
c. 19,340,000
5.
d. Explanations will vary.
0.013
32,000,000; explanations
Exit Ticket 1.
a. 321 b. 363.21
2.
a. 455,000 b. 0.455
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 2 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. 360,000
3.
0.165
b. 3,600
0.0165
c. 43
Explanations will vary.
d. 0.43
4.
No; 0.3
e. 240
5.
1,700,000 ÷ 10 = 170,000 km2; explanations will
f.
0.024
100 = 30; explanations will vary.
vary.
g. 4,540 h. 30.454 2.
a. 145,600 b. 1,456,000 c. 14,560,000 d. Explanations will vary.
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3 Sprint Side A 1.
3
12. 21
23. 30
34. 27
2.
3
13. 21
24. 27
35. 12
3.
6
14. 24
25. 12
36. 9
4.
6
15. 24
26. 24
37. 6
5.
9
16. 27
27. 15
38. 21
6.
12
17. 27
28. 21
39. 24
7.
12
18. 30
29. 18
40. 33
8.
15
19. 30
30. 30
41. 33
9.
15
20. 9
31. 15
42. 36
10. 18
21. 3
32. 18
43. 39
11. 18
22. 6
33. 3
44. 39
Side B 1.
3
12. 21
23. 27
34. 12
2.
3
13. 21
24. 9
35. 27
3.
6
14. 24
25. 24
36. 6
4.
6
15. 24
26. 12
37. 21
5.
9
16. 27
27. 21
38. 9
6.
12
17. 27
28. 15
39. 24
7.
12
18. 30
29. 18
40. 33
8.
15
19. 30
30. 15
41. 33
9.
15
20. 3
31. 30
42. 39
10. 18
21. 30
32. 3
43. 39
11. 18
22. 6
33. 18
44. 36
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. 104
4.
Explanations will vary.
3
5.
a. 3; 300; 3000
b. 10 c.
2.
10
2
b. 650; 0.065
d. 10
4
c. 94,300; 943; 0.943
e. 10
6
d. 999,000; 9,990,000; 99,900,000
f.
6
e. 0.075; 7,500,000; 750,000,000
10
a. 9000
f.
b. 390,000
g. Explanations will vary.
c. 72
5.
d. 7,200
Explanations will vary.
a. Explanations will vary. b. Explanations will vary.
e. 4025 f.
402,500
g. 0.725 h. 0.072 3.
Explanations will vary.
Exit Ticket 1.
a. 103; 10 4
b. 10 ; 10 2.
10
10
10
10
10
a. 300 b. 21,600 c. 0.8 d. 7.542
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
2.
a. 103
3.
a. 2; 200; 2000
b. 10
2
b. 340; 0.034
c. 10
5
c. 85,700; 857; 0.857
d. 10
3
d. 444,000; 4,440,000; 44,400,000
e. 10
6
e. 0.095; 9,500,000; 950,000,000
f.
5
10
4.
a. 4,000
Answers will vary; 104 = 10
10
10
10 =
10,000
b. 640,000
5.
c. 53
a. Answers will vary. b. 247
103 = 0.247; 247
103 = 247,000
d. 5,300 e. 6,072 f. 607,200 g. 0.948 h. 0.094
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 4 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4 Problem Set 1.
a. Answer provided. b. 1.05; 105
10 = 1.05
e. 9.2; 920; 9.2 4; 0.04; 4
102 103
d. 50; .05 × 103
102 = 920
102 = 0.04
g. a, c, e 2.
c. 0.042; 42
102 = 0.8
d. 80; 0.8; 80
a. 3512 b. 0.08; 8
102 = 168
c. 1.68; 168; 1.68
f.
3.
2
3
a. 3; 3,000; 3 × 10 = 3,000
e. 0.2; 0.002 × 102 4.
4.75 m = 4,750 mm; 475
5.
1 cm = 0.01 m; 1
6.
Explanations will vary.
103 = 4,750
102 = 0.01
3
b. 1.2; 1,200; 1.2 × 10 = 3,000 c. 1,020; 1.02; 1,020 d. 97; 0.097; 97
103 = 1.02
103 = 0.097
e. 7.28; 7,280; 7.28 × 103 = 7,280 f.
4; 0.004; 4
103 = 0.004
g. c, d, f
Exit Ticket 1.
f.
102; 200
g. 103; 0.04 2.
a. 390 cm b. 0.04 m
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 4 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. Answer provided. b. 108; 1.08; 108
10
3. 2
b. 0.07; 7
c. 2.49; 249; 2.49 × 102
c. 0.039; 39
102
d. 50; 0.50; 50
2.
7; 0.07; 7
102 103
d. 80; 0.08 × 103
e. 6.3; 630; 6.3 × 102 f.
a. 2638; answer provided.
e. 0.5; 0.005 × 102
102
4.
1.49 m = 1490 mm; 1.49
g. b, d, f
5.
2 cm = 0.02 m; 2
a. 4; 4000; 4 × 103
6.
77 mm = 0.077 m; 77
103
102 103
b. 1.7; 1700; 1.7 × 103 c. 1050; 1.050; 1050 d. 65; 0.065; 65
103
103
e. 4.92; 4920; 4.92 × 103 f.
3; .003; 3
103
g. a, b, c
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 5 Sprint Side A 1.
623
12. 300
23. 4,100
34. 91.9
2.
6,230
13. 0.2
24. 7,600
35. 1,820
3.
62,300
14. 2
25. 10
36. 14,700
4.
736
15. 20
26. 70
37. 202.1
5.
7,360
16. 0.08
27. 7.2
38. 1,721
6.
73,600
17. 0.8
28. 8.02
39. 64
7.
6
18. 8
29. 19
40. 82
8.
0.6
19. 3.2
30. 7,412
41. 96
9.
0.06
20. 6.7
31. 680
42. 39
10. 3
21. 91
32. 49.01
43. 124.8
11. 30
22. 74
33. 1,607
44. 564.8
Side B 1.
461
12. 900
23. 5,200
34. 81.8
2.
4,610
13. 0.4
24. 8,700
35. 2,930
3.
46,100
14. 4
25. 10
36. 25,800
4.
892
15. 40
26. 80
37. 303.2
5.
8,920
16. 0.07
27. 0.83
38. 2,831
6.
89,200
17. 0.7
28. 9.03
39. 42
7.
3
18. 7
29. 17
40. 66
8.
0.3
19. 4.5
30. 8,523
41. 93
9.
0.03
20. 7.8
31. 790
42. 36
10. 9
21. 28
32. 58.02
43. 84.4
11. 90
22. 19
33. 2,708
44. 524.4
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. Answer provided.
3.
a. Answer provided.
b. 0.024
b.
c. 1.324
c.
d. 0.608 e. 600.008 f.
4.
0.046
b. 530.809
g. 3.946
c. 4,207.034
h. 200.904 2.
a. 74.692
5.
Both of them; explanations will vary.
a. 5 thousandths b. Eleven and thirty-seven thousandths c. Four hundred three and six hundred eight thousandths
Exit Ticket 1.
0.009
2. 3.
Twenty-four and three hundred fifty-seven thousandths a. 2
10
4
1
3
0.1
5
0.01
7
0.001
b. 2 tens 4 ones 3 tenths 5 hundredths 7 thousandths
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. Answer provided.
4.
a. 35.276
b. 0.035
b. 920.307
c. 9.235
c. 5,408.065
d. 800.005
5.
e. 0.008 f.
0.028
6.
a. 4
1
8
7
5
b. 3
1
1
2
5
Nancy:
g. 7.528 h. 300.502 2.
Charles: 4 0.01
a. Eight thousandths
8
100
1
10
2
1
6
0.1
3
0.001
b. Fifteen and sixty-two thousandths c. Six hundred seven and four hundred nine thousandths 3.
a. Answer provided. b. 3
0.1
6
0.01
2
c. 4
10
9
1
0.1
5
0.001 6
0.01
4
0.001
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 6 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 6 Problem Set 1.
; completed place value chart; explanations
3.
will vary. 2.
b. 182.025; 182.05; 182.105; 182.205
a.
f.
a. 3.04; 3.049; 3.05; 3.059
6.
=
L,
L.
Dr. Hong prescribes the most; Dr. Evans prescribes the least; explanations will vary.
g. > h. < i.
5 GRADE
Mathematics Curriculum GRADE 5 • MODULE 1
Answer Key
GRADE 5 • MODULE 1 Place Value and Decimal Fractions
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 1 Sprint Side A 1.
120
12. 920
23. 340
34. 560
2.
140
13. 180
24. 1,340
35. 4,560
3.
150
14. 190
25. 2,340
36. 5,560
4.
170
15. 200
26. 3,340
37. 9,500
5.
810
16. 300
27. 8,340
38. 9,500
6.
810
17. 400
28. 8,340
39. 160
7.
210
18. 800
29. 450
40. 600
8.
220
19. 800
30. 1,450
41. 4,930
9.
230
20. 500
31. 2,450
42. 840
10. 290
21. 900
32. 3,450
43. 960
11. 920
22. 700
33. 9,450
44. 5,800
Side B 1.
130
12. 830
23. 430
34. 650
2.
140
13. 280
24. 1,430
35. 4,650
3.
150
14. 290
25. 2,430
36. 5,650
4.
190
15. 300
26. 3,430
37. 9,600
5.
910
16. 400
27. 7,430
38. 9,600
6.
910
17. 500
28. 7,430
39. 170
7.
310
18. 900
29. 540
40. 700
8.
320
19. 900
30. 1,540
41. 5,820
9.
330
20. 200
31. 2,540
42. 730
10. 380
21. 600
32. 3,540
43. 980
11. 830
22. 800
33. 8,540
44. 4,700
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. Answer provided
3.
7,234,000; explanations will vary.
b. 345.2
4.
320.04
c. 3452
a. 3200.4 ÷ 10 = 320.04; explanations will
d. Explanations will vary. 2.
vary.
a. Answer provided
5.
9.5 cm; explanations will vary.
a. Answer provided
3.
8,912,000
b. 728.1
4.
2800.3
b. 3.45 c. .345 d. Explanations will vary.
Exit Ticket 1.
a. 667.1 b. 0.684
Homework 1.
c. 9254
a. 28.003
d. Explanations will vary. 2.
100 = 2800.3; explanations will
vary.
a. Answer provided
5.
251 m; explanations will vary.
b. 6.78 c. 0.067 d. Explanations will vary.
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 2 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2 Problem Set 1. 1.
a. 540,000
1. 3.
a. 15.2
b. 5,400
2.
b. 1.52
c. 87
3.
c. 0.152
d. 0.87
4.
d. Explanations will vary.
e. 13
5. 4.
Explanations will vary;
f.
6. 5.
320,000,000 = 10
g. 3,120
7.
will vary.
h. 40.312
8.
2. 2.
a. 193,400
9.
3.
b. 1,934,000
4.
c. 19,340,000
5.
d. Explanations will vary.
0.013
32,000,000; explanations
Exit Ticket 1.
a. 321 b. 363.21
2.
a. 455,000 b. 0.455
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 2 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. 360,000
3.
0.165
b. 3,600
0.0165
c. 43
Explanations will vary.
d. 0.43
4.
No; 0.3
e. 240
5.
1,700,000 ÷ 10 = 170,000 km2; explanations will
f.
0.024
100 = 30; explanations will vary.
vary.
g. 4,540 h. 30.454 2.
a. 145,600 b. 1,456,000 c. 14,560,000 d. Explanations will vary.
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3 Sprint Side A 1.
3
12. 21
23. 30
34. 27
2.
3
13. 21
24. 27
35. 12
3.
6
14. 24
25. 12
36. 9
4.
6
15. 24
26. 24
37. 6
5.
9
16. 27
27. 15
38. 21
6.
12
17. 27
28. 21
39. 24
7.
12
18. 30
29. 18
40. 33
8.
15
19. 30
30. 30
41. 33
9.
15
20. 9
31. 15
42. 36
10. 18
21. 3
32. 18
43. 39
11. 18
22. 6
33. 3
44. 39
Side B 1.
3
12. 21
23. 27
34. 12
2.
3
13. 21
24. 9
35. 27
3.
6
14. 24
25. 24
36. 6
4.
6
15. 24
26. 12
37. 21
5.
9
16. 27
27. 21
38. 9
6.
12
17. 27
28. 15
39. 24
7.
12
18. 30
29. 18
40. 33
8.
15
19. 30
30. 15
41. 33
9.
15
20. 3
31. 30
42. 39
10. 18
21. 30
32. 3
43. 39
11. 18
22. 6
33. 18
44. 36
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. 104
4.
Explanations will vary.
3
5.
a. 3; 300; 3000
b. 10 c.
2.
10
2
b. 650; 0.065
d. 10
4
c. 94,300; 943; 0.943
e. 10
6
d. 999,000; 9,990,000; 99,900,000
f.
6
e. 0.075; 7,500,000; 750,000,000
10
a. 9000
f.
b. 390,000
g. Explanations will vary.
c. 72
5.
d. 7,200
Explanations will vary.
a. Explanations will vary. b. Explanations will vary.
e. 4025 f.
402,500
g. 0.725 h. 0.072 3.
Explanations will vary.
Exit Ticket 1.
a. 103; 10 4
b. 10 ; 10 2.
10
10
10
10
10
a. 300 b. 21,600 c. 0.8 d. 7.542
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
2.
a. 103
3.
a. 2; 200; 2000
b. 10
2
b. 340; 0.034
c. 10
5
c. 85,700; 857; 0.857
d. 10
3
d. 444,000; 4,440,000; 44,400,000
e. 10
6
e. 0.095; 9,500,000; 950,000,000
f.
5
10
4.
a. 4,000
Answers will vary; 104 = 10
10
10
10 =
10,000
b. 640,000
5.
c. 53
a. Answers will vary. b. 247
103 = 0.247; 247
103 = 247,000
d. 5,300 e. 6,072 f. 607,200 g. 0.948 h. 0.094
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 4 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4 Problem Set 1.
a. Answer provided. b. 1.05; 105
10 = 1.05
e. 9.2; 920; 9.2 4; 0.04; 4
102 103
d. 50; .05 × 103
102 = 920
102 = 0.04
g. a, c, e 2.
c. 0.042; 42
102 = 0.8
d. 80; 0.8; 80
a. 3512 b. 0.08; 8
102 = 168
c. 1.68; 168; 1.68
f.
3.
2
3
a. 3; 3,000; 3 × 10 = 3,000
e. 0.2; 0.002 × 102 4.
4.75 m = 4,750 mm; 475
5.
1 cm = 0.01 m; 1
6.
Explanations will vary.
103 = 4,750
102 = 0.01
3
b. 1.2; 1,200; 1.2 × 10 = 3,000 c. 1,020; 1.02; 1,020 d. 97; 0.097; 97
103 = 1.02
103 = 0.097
e. 7.28; 7,280; 7.28 × 103 = 7,280 f.
4; 0.004; 4
103 = 0.004
g. c, d, f
Exit Ticket 1.
f.
102; 200
g. 103; 0.04 2.
a. 390 cm b. 0.04 m
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 4 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. Answer provided. b. 108; 1.08; 108
10
3. 2
b. 0.07; 7
c. 2.49; 249; 2.49 × 102
c. 0.039; 39
102
d. 50; 0.50; 50
2.
7; 0.07; 7
102 103
d. 80; 0.08 × 103
e. 6.3; 630; 6.3 × 102 f.
a. 2638; answer provided.
e. 0.5; 0.005 × 102
102
4.
1.49 m = 1490 mm; 1.49
g. b, d, f
5.
2 cm = 0.02 m; 2
a. 4; 4000; 4 × 103
6.
77 mm = 0.077 m; 77
103
102 103
b. 1.7; 1700; 1.7 × 103 c. 1050; 1.050; 1050 d. 65; 0.065; 65
103
103
e. 4.92; 4920; 4.92 × 103 f.
3; .003; 3
103
g. a, b, c
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 5 Sprint Side A 1.
623
12. 300
23. 4,100
34. 91.9
2.
6,230
13. 0.2
24. 7,600
35. 1,820
3.
62,300
14. 2
25. 10
36. 14,700
4.
736
15. 20
26. 70
37. 202.1
5.
7,360
16. 0.08
27. 7.2
38. 1,721
6.
73,600
17. 0.8
28. 8.02
39. 64
7.
6
18. 8
29. 19
40. 82
8.
0.6
19. 3.2
30. 7,412
41. 96
9.
0.06
20. 6.7
31. 680
42. 39
10. 3
21. 91
32. 49.01
43. 124.8
11. 30
22. 74
33. 1,607
44. 564.8
Side B 1.
461
12. 900
23. 5,200
34. 81.8
2.
4,610
13. 0.4
24. 8,700
35. 2,930
3.
46,100
14. 4
25. 10
36. 25,800
4.
892
15. 40
26. 80
37. 303.2
5.
8,920
16. 0.07
27. 0.83
38. 2,831
6.
89,200
17. 0.7
28. 9.03
39. 42
7.
3
18. 7
29. 17
40. 66
8.
0.3
19. 4.5
30. 8,523
41. 93
9.
0.03
20. 7.8
31. 790
42. 36
10. 9
21. 28
32. 58.02
43. 84.4
11. 90
22. 19
33. 2,708
44. 524.4
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Problem Set 1.
a. Answer provided.
3.
a. Answer provided.
b. 0.024
b.
c. 1.324
c.
d. 0.608 e. 600.008 f.
4.
0.046
b. 530.809
g. 3.946
c. 4,207.034
h. 200.904 2.
a. 74.692
5.
Both of them; explanations will vary.
a. 5 thousandths b. Eleven and thirty-seven thousandths c. Four hundred three and six hundred eight thousandths
Exit Ticket 1.
0.009
2. 3.
Twenty-four and three hundred fifty-seven thousandths a. 2
10
4
1
3
0.1
5
0.01
7
0.001
b. 2 tens 4 ones 3 tenths 5 hundredths 7 thousandths
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Homework 1.
a. Answer provided.
4.
a. 35.276
b. 0.035
b. 920.307
c. 9.235
c. 5,408.065
d. 800.005
5.
e. 0.008 f.
0.028
6.
a. 4
1
8
7
5
b. 3
1
1
2
5
Nancy:
g. 7.528 h. 300.502 2.
Charles: 4 0.01
a. Eight thousandths
8
100
1
10
2
1
6
0.1
3
0.001
b. Fifteen and sixty-two thousandths c. Six hundred seven and four hundred nine thousandths 3.
a. Answer provided. b. 3
0.1
6
0.01
2
c. 4
10
9
1
0.1
5
0.001 6
0.01
4
0.001
Module 1: Date:
Place Value and Decimal Fractions 6/30/14
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 6 Answer Key 5•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 6 Problem Set 1.
; completed place value chart; explanations
3.
will vary. 2.
b. 182.025; 182.05; 182.105; 182.205
a.
f.
a. 3.04; 3.049; 3.05; 3.059
6.
=
L,
L.
Dr. Hong prescribes the most; Dr. Evans prescribes the least; explanations will vary.
g. > h. < i.
