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Eureka Math Grade 4 Module 6 Lesson 8 Answer Key

Engage ny eureka math 4th grade module 6 lesson 8 answer key, eureka math grade 4 module 6 lesson 8 sprint answer key.

Engage NY Math 4th Grade Module 6 Lesson 8 Sprint Answer Key 1

Answer: 3/10 = 0.3, 3/100 = 0.03, 23/100 = 0.23, 123/100 = 1.23, 423/100 = 4.23, 0.07 = 7/100, 1.07 = 17/100, 0.7 = 7/10, 1.7 = 17/10, 1.74 = 174/100. 4/100 = 0.04, 0.6 = 6/10, 7/100 = 0.07, 0.02 = 2/100, 9/100 = 0.09, 10/100 = 0.1, 10/100 + 2/100 = 0.3, 1/10 + 2/00 = 0.12, 1/10 + 3/100 = 0.13,1/10 + 4/100 =0.14, 1/10 + 9/100 = 0.19, 3 + 1/10 + 9/100 = 3.19, 2 + 1/10 + 6/100 = 2.16, 2 + 0.1 + 0.06 = 2.16, 3 + 0.1 + 0.06 = 3.16, 3 + 0.1 + 0.04 = 3.14, 3 + 0.5 + 0.04 = 3.54, 2 + 0.3 + 0.08 = 2.38, 2 + 0.08 = 2.08, 1 + 0.3 = 1.3, 10 + 0.3 = 10.3, 1 + 0.4 + 0.06 = 1.46, 10 + 0.4 + 0.06 = 10.46, 30 + 0.7 + 0.02 = 30.72, 2 + 3/10 + 0.05 = 2.35, 4 + 0.5 + 3/100 = 4.53, 4 + 3/100 + 0.5 = 4.53, 0.5 + 3/100 + 4 = 4.53, 20 + 0.8 + 0.01 = 20.81, 4 + 9/100 + 2/10 = 4.29, 0.04 + 2 + 0.7 = 2.74, 6/10 + 8 + 2/100 = 8.62, 5/100 + 8 + 0.9 = 8.95, 0.9 + 10 + 4/100 = 10.49.

Eureka-Math-Grade-4-Module-6-Lesson-8-Answer Key-1

Question 1: \(\frac{3}{10}\) = 0.3

Answer: 3/10 = 0.3.

Explanation: In the above-given question, given that, \(\frac{3}{10}\) divide number by 10. 3/10 = 0.3.

Question 2. \(\frac{3}{100}\) = 0.03.

Answer: 3/100 = 0.03.

Explanation: In the above-given question, given that, \(\frac{3}{100}\) divide number by 100. 3/100 = 0.03.

Question 3. \(\frac{23}{100}\) = 0.23

Answer: 23/100 = 0.23.

Explanation: In the above-given question, given that, \(\frac{23}{100}\) divide number by 100. 23/100 = 0.23.

Question 4. 1\(\frac{23}{100}\) = 1.23

Answer: 1 x (23/100) = 1.23.

Explanation: In the above-given question, given that, 1\(\frac{23}{100}\) divide number by 100. 100 + 23 /100. 123/100 = 1.23.

Question 5. 4\(\frac{23}{100}\) = 4.23

Answer: 4 x (23/100) = 4.23.

Explanation: In the above-given question, given that, 4\(\frac{23}{100}\) divide number by 100. 400 + 23 /100. 423/100 = 4.23.

Question 6. 0.07 = 7/100.

Answer: (7/100) = 0.07.

Explanation: In the above-given question, given that, \(\frac{7}{100}\) divide number by 100. 7/100 = 0.07.

Question 7. 1.07 = 17/100.

Answer: (17/100) = 1.07.

Explanation: In the above-given question, given that, \(\frac{17}{100}\) divide number by 100. 17/100 = 1.07.

Question 8. 0.7 = 7/10

Answer: (7/10) = 0.7.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 7/10 = 0.7.

Question 9. 1.7 = 17/10.

Answer: (17/10) = 1.7.

Explanation: In the above-given question, given that, \(\frac{17}{10}\) divide number by 10. 17/10 = 1.7.

Question 10. 1.74 = 174/100.

Answer: (174/100) = 1.74.

Explanation: In the above-given question, given that, \(\frac{174}{100}\) divide number by 100. 174/100 = 1.74.

Question 11. \(\frac{4}{100}\) = 0.04

Answer: (4/100) = 0.04.

Explanation: In the above-given question, given that, \(\frac{4}{100}\) divide number by 100. 4/100 = 0.04.

Question 12. 0.6 = 6/10.

Answer: (6/10) = 0.6.

Explanation: In the above-given question, given that, \(\frac{6}{10}\) divide number by 10. 6/10 = 0.6.

Question 13. \(\frac{7}{100}\) = 0.07.

Question 14. 0.02 = 2/100.

Answer: (2/100) = 0.02.

Explanation: In the above-given question, given that, \(\frac{2}{100}\) divide number by 100. 2/100 = 0.02.

Question 15. \(\frac{9}{100}\) = 0.09

Answer: (9/100) = 0.09.

Explanation: In the above-given question, given that, \(\frac{9}{100}\) divide number by 100. 9/100 = 0.09.

Question 16. \(\frac{10}{100}\) = 0.1

Answer: (10/100) = 0.1.

Explanation: In the above-given question, given that, \(\frac{10}{100}\) divide number by 100. 10/100 = 0.1.

Question 17. \(\frac{10}{100}\) + \(\frac{2}{100}\) = 0.3

Answer: (10/100) = 0.1. 2/100 = 0.02.

Explanation: In the above-given question, given that, \(\frac{10}{100}\) divide number by 100. 10/100 = 0.1. 2/100 = 0.02. 0.1 + 0.02 = 0.12.

Question 18. \(\frac{1}{10}\) + \(\frac{2}{100}\) =

Answer: (1/10) = 0.1. 2/100 = 0.02.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 2/100 = 0.02. 0.1 + 0.02 = 0.12.

Question 19. \(\frac{1}{10}\) + \(\frac{3}{100}\) = 0.13

Answer: (1/10) = 0.1. 3/100 = 0.03.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 3/100 = 0.03. 0.1 + 0.03 = 0.13.

Question 20. \(\frac{1}{10}\) + \(\frac{4}{100}\) = 0.14.

Answer: (1/10) = 0.1. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 4/100 = 0.04. 0.1 + 0.04 = 0.14.

Question 21. \(\frac{1}{10}\) + \(\frac{9}{100}\) = 0.19

Answer: (1/10) = 0.1. 9/100 = 0.09.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 9/100 = 0.09. 0.1 + 0.09 = 0.19.

Question 22. 3 + \(\frac{1}{10}\) + \(\frac{9}{100}\) = 3.19.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 9/100 = 0.09. 0.1 + 0.09 = 0.19. 3 + 0.19 = 3.19.

Question 23. 2 + \(\frac{1}{10}\) + \(\frac{6}{100}\) = 2.16

(1/10) = 0.1. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 6/100 = 0.06. 0.1 + 0.06 = 0.16. 2 + 0.16 = 2.16.

Question 24. 2 + 0.1 + 0.06 = 2.16.

Answer: (1/10) = 0.1. 6/100 = 0.06.

Question 25. 3 + 0.1 + 0.06 = 3.16.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 6/100 = 0.06. 0.1 + 0.06 = 0.16. 3 + 0.16 = 3.16.

Question 26. 3 + 0.1 + 0.04 = 3.14

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 4/100 = 0.04. 0.1 + 0.04 = 0.14. 3 + 0.14 = 3.14.

Question 27. 3 + 0.5 + 0.04 = 3.54.

Answer: (5/10) = 0.5. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5. 4/100 = 0.04. 0.5 + 0.04 = 0.54. 3 + 0.54 = 3.54.

Question 28. 2 + 0.3 + 0.08 = 2.38

Answer: (3/10) = 0.3. 8/100 = 0.08.

Explanation: In the above-given question, given that, \(\frac{3}{10}\) divide number by 10. 3/10 = 0.3. 8/100 = 0.08. 0.3 + 0.08 = 0.38. 2 + 0.38 = 2.38.

Question 29. 2 + 0.08 = 2.08.

Answer: 8/100 = 0.08.

Explanation: In the above-given question, given that, \(\frac{8}{100}\) divide number by 100. 8/100 = 0.08. 2 + 0.08 = 2.08.

Question 30. 1 + 0.3 = 1.3

Explanation: In the above-given question, given that, \(\frac{3}{10}\) divide number by 10. 3/10 = 0.3. 1 + 0.3 = 1.3.

Question 31. 10 + 0.3 = 10.3

Explanation: In the above-given question, given that, \(\frac{3}{10}\) divide number by 10. 3/10 = 0.3. 10 + 0.3 = 10.3.

Question 32. 1 + 0.4 + 0.06 = 1.46

Answer: (4/10) = 0.4. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{4}{10}\) divide number by 10. 4/10 = 0.4. 6/100 = 0.06. 0.4 + 0.06 = 0.46. 1 + 0.46 = 1.46.

Question 33. 10 + 0.4 + 0.06 = 10.46.

Explanation: In the above-given question, given that, \(\frac{4}{10}\) divide number by 10. 4/10 = 0.4. 6/100 = 0.06. 0.4 + 0.06 = 0.46. 10 + 0.46 = 10.46.

Question 34. 30 + 0.7 + 0.02 = 30.72

Answer: (7/10) = 0.7. 2/100 = 0.02.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 7/10 = 0.7. 2/100 = 0.02. 0.7 + 0.02 = 0.72. 30 + 0.72 = 30.72.

Question 35. 2 + \(\frac{3}{10}\) + 0.05 = 2.35

Answer: (3/10) = 0.3. 5/100 = 0.05.

Explanation: In the above-given question, given that, \(\frac{3}{10}\) divide number by 10. 3/10 = 0.3. 5/100 = 0.05. 0.3 + 0.05 = 0.35. 2 + 0.35 = 2.35.

Question 36. 4 + 0.5 + \(\frac{3}{100}\) =

Answer: (5/10) = 0.5. 3/100 = 0.03.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5. 3/100 = 0.03. 0.5 + 0.03 = 0.53. 4 + 0.53 = 4.53.

Question 37. 4 +\(\frac{3}{100}\) + 0.5 = 4.53

Question 38. 0.5 + \(\frac{3}{100}\) + 4 = 4.53

Question 39. 20 + 0.8 + 0.01 = 20.81

Answer: (8/10) = 0.8. 1/100 = 0.01.

Explanation: In the above-given question, given that, \(\frac{8}{10}\) divide number by 10. 8/10 = 0.8. 1/100 = 0.01. 0.8 + 0.01 = 0.81. 20 + 0.81 = 20.81.

Question 40. 4 + \(\frac{9}{100}\) + \(\frac{2}{10}\) = 4.29

Answer: (2/10) = 0.2. 9/100 = 0.09.

Explanation: In the above-given question, given that, \(\frac{2}{10}\) divide number by 10. 2/10 = 0.2. 9/100 = 0.09. 0.2 + 0.09 = 0.29. 4 + 0.29 = 4.29.

Question 41. 0.04 + 2 + 0.7 = 2.74.

Answer: (7/10) = 0.7. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 7/10 = 0.7. 4/100 = 0.04. 0.7 + 0.04 = 0.74. 2 + 0.74 = 2.74.

Question 42. \(\frac{6}{10}\) + 8 + \(\frac{2}{100}\) = 8.62

Answer: (6/10) = 0.6. 2/100 = 0.02.

Explanation: In the above-given question, given that, \(\frac{6}{10}\) divide number by 10. 6/10 = 0.6. 2/100 = 0.02. 0.6 + 0.02 = 0.62. 8 + 0.62 = 8.62.

Question 43. \(\frac{5}{100}\) + 8 + 0.9 = 8.95

Answer: (9/10) = 0.3. 5/100 = 0.05.

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9. 5/100 = 0.05. 0.9 + 0.05 = 0.95. 8 + 0.95 = 8.95.

Question 44. 0.9 + 10 + \(\frac{4}{100}\) = 10.94

Answer: (9/10) = 0.9. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9. 4/100 = 0.04. 0.9 + 0.04 = 0.94. 10 + 0.94 = 10.94.

Engage NY Math 4th Grade Module 6 Lesson 8 Sprint Answer Key 2

Answer: 1/10 = 0.1, 2/10 = 0.2, 3/10 = 0.3, 7/10 = 0.7, 5/10 = 0.5, 0.2 = 2/10, 0.3 = 3/10, 0.4 = 4/10, 0.8 = 8/10, 0.6 = 6/10, 4/10 = 0.4, 0.9 = 9/10, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 17/10 = 1.7, 27/10 = 2.7, 47/10 = 4.7, 34/10 = 3.4, 2 + 1/10 + 4/100 = 2.14, 2 + 0.1 + 0.04 = 2.14, 3 + 0.1 + 0.04 = 3.14, 3 + 0.1 + 0.06 = 3.16, 3 + 0.5 + 0.06 = 3.56, 2 + 0.4 + 0.09 = 2.49, 2 + 0.06 = 2.06, 1 + 0.5 = 1.5, 10 + 0.5 = 10.5, 1 + 0.2 + 0.04 = 1.24, 10 + 0.2 + 0.04 = 10.24, 30 + 0.9 + 0.06 = 30.96, 2 + 5/10 + 0.07 = 2.57, 4 + 0.7 + 5/100 = 4.75, 4 + 5/100 + 0.7 = 4.75, 0.7 + 5/100 + 4 = 4.75, 20 + 0.6 + 0.01 = 20.61, 6 + 7/100 + 4/10 = 6.47, 0.06 + 2 + 0.9 = 2.96, 8/10 + 6 + 4/100 = 6.84, 3/100 + 8 + 0.7 = 8.73, 0.7 + 10 + 6/100 = 10.76.

Eureka-Math-Grade-4-Module-6-Lesson-8-Answer Key-2

Question \(\frac{1}{10}\) = 0.1

Answer: 1/10 = 0.1.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1.

Question 2. \(\frac{2}{10}\) = 0.2

Answer: 2/10 = 0.2.

Explanation: In the above-given question, given that, \(\frac{2}{10}\) divide number by 10. 2/10 = 0.2.

Question 3. \(\frac{3}{10}\) = 0.3

Question 4. 1\(\frac{7}{10}\) = 1.7

Answer: 17/10 = 1.7.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 10 + 7/10. 17/10 = 1.7.

Question 5. 4\(\frac{5}{10}\) = 4.5

Explanation: In the above-given question, given that, \(\frac{17}{10}\) divide number by 10. 40 + 5/10. 45/10 = 4.5.

Question 6. 0.2 = 2/10

Question 7. 0.3 = 3/10

Question 8. 0.4 = 4/10

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 17/10 = 1.7.

Question 9. 0.8 = 8/10

Answer: 8/10 = 0.8.

Explanation: In the above-given question, given that, \(\frac{8}{10}\) divide number by 10. 8/10 = 0.8.

Question 10. 0.6 = 6/10

Answer: 6/10 = 0.6.

Question 11. \(\frac{4}{10}\) = 0.4

Answer: 4/10 = 0.4.

Explanation: In the above-given question, given that, \(\frac{4}{10}\) divide number by 10. 4/10 = 0.4.

Question 12. 0.9 = 9/10

Answer: 9/10 = 0.9.

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9.

Question 13. \(\frac{6}{10}\) = 0.6

Question 14. 0.5 = 5/10

Answer: 5/10 = 0.5.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5.

Question 15. \(\frac{9}{10}\) = 0.9

Question 16. \(\frac{10}{10}\) = 1

Answer: 10/10 = 1.

Explanation: In the above-given question, given that, \(\frac{10}{10}\) divide number by 10. 10/10 = 1.

Question 17. \(\frac{11}{10}\) =

Answer: 11/10 = 1.1.

Explanation: In the above-given question, given that, \(\frac{11}{10}\) divide number by 10. 11/10 = 1.1.

Question 18. \(\frac{12}{10}\) = 1.2

Answer: 12/10 = 1.2.

Explanation: In the above-given question, given that, \(\frac{12}{10}\) divide number by 10. 12/10 = 1.2.

Question 19. \(\frac{17}{10}\) = 1.7

Question 20. \(\frac{27}{10}\) = 2.7

Answer: 27/10 = 2.7.

Explanation: In the above-given question, given that, \(\frac{27}{10}\) divide number by 10. 27/10 = 2.7.

Question 21. \(\frac{47}{10}\) = 4.7

Answer: 47/10 = 4.7.

Explanation: In the above-given question, given that, \(\frac{47}{10}\) divide number by 10. 47/10 = 4.7.

Question 22. 3 + \(\frac{34}{10}\) = 6.4

Answer: 34/10 = 3.4.

Explanation: In the above-given question, given that, \(\frac{34}{10}\) divide number by 10. 34/10 = 3.4. 3 + 3.4 = 6.4.

Question 23. 2 + \(\frac{1}{10}\) + \(\frac{4}{100}\) = 2.14

Answer: 1/10 = 0.1. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 4/100 = 0.04. 2 + 0.1 + 0.04 = 2.14.

Question 24. 2 + 0.1 + 0.04 = 2.14

Question 25. 3 + 0.1 + 0.04 = 3.14

Question 26. 3 + 0.1 + 0.06 = 3.16

Answer: 1/10 = 0.1. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{1}{10}\) divide number by 10. 1/10 = 0.1. 6/100 = 0.06. 3 + 0.1 + 0.06 = 3.16.

Question 27. 3 + 0.5 + 0.06 = 3.56

Answer: 5/10 = 0.5. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5. 6/100 = 0.06. 3 + 0.5 + 0.06 = 3.56.

Question 28. 2 + 0.4 + 0.09 = 2.49

Answer: 4/10 = 0.4. 9/100 = 0.09.

Explanation: In the above-given question, given that, \(\frac{4}{10}\) divide number by 10. 4/10 = 0.4. 9/100 = 0.09. 2 + 0.4 + 0.09 = 2.49.

Question 29. 2 + 0.06 = 2.06

Answer: 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{6}{100}\) divide number by 10. 6/100 = 0.06. 2 +  0.06 = 2.06.

Question 30. 1 + 0.5 = 1.5

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5. 1 + 0.5 = 1.5.

Question 31. 10 + 0.5 = 10.5

Question 32. 1 + 0.2 + 0.04 =

Answer: 2/10 = 0.2. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{2}{10}\) divide number by 10. 2/10 = 0.2. 4/100 = 0.04. 1 + 0.2 + 0.04 = 1.24.

Question 33. 10 + 0.2 + 0.06 = 10.26

Answer: 2/10 = 0.2. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{2}{10}\) divide number by 10. 2/10 = 0.2. 6/100 = 0.06. 10 + 0.2 + 0.06 = 10.26.

Question 34. 30 + 0.9 + 0.06 = 30.96

Answer: 9/10 = 0.9. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9. 6/100 = 0.06. 30 + 0.9 + 0.06 = 30.96.

Question 35. 2 + \(\frac{5}{10}\) + 0.07 = 2.57

Answer: 5/10 = 0.5. 7/100 = 0.07.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) divide number by 10. 5/10 = 0.5. 7/100 = 0.07. 2 + 0.5 + 0.07 = 2.57.

Question 36. 4 + 0.7 + \(\frac{5}{100}\) = 4.75

Answer: 7/10 = 0.7. 5/100 = 0.05.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 7/10 = 0.7. 5/100 = 0.05. 4 + 0.7 + 0.05 = 4.75.

Question 37. 4 +\(\frac{5}{100}\) + 0.7 = 4.75

Question 38. 0.7 + \(\frac{5}{100}\) + 4 = 4.75

Question 39. 20 + 0.6 + 0.01 = 20.61

Answer: 6/10 = 0.6. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{6}{10}\) divide number by 10. 6/10 = 0.6. 6/100 = 0.06. 20 + 0.6 + 0.01 = 20.61.

Question 40. 6 + \(\frac{7}{100}\) + \(\frac{4}{10}\) = 6.47

Answer: 4/10 = 0.4. 7/100 = 0.07.

Explanation: In the above-given question, given that, \(\frac{4}{10}\) divide number by 10. 4/10 = 0.4. 7/100 = 0.07. 6 + 0.4 + 0.07 = 6.47.

Question 41. 0.06 + 2 + 0.9 = 2.96

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9. 6/100 = 0.06. 2 + 0.9 + 0.06 = 2.96.

Question 42. \(\frac{8}{10}\) + 6 + \(\frac{4}{100}\) = 6.84

Answer: 8/10 = 0.8. 4/100 = 0.04.

Explanation: In the above-given question, given that, \(\frac{8}{10}\) divide number by 10. 8/10 = 0.8. 4/100 = 0.04. 6 + 0.8 + 0.04 = 6.84.

Question 43. \(\frac{3}{100}\) + 8 + 0.9 = 8.93

Answer: 9/10 = 0.9. 3/100 = 0.03.

Explanation: In the above-given question, given that, \(\frac{9}{10}\) divide number by 10. 9/10 = 0.9. 3/100 = 0.03. 8 + 0.9 + 0.03 = 8.93.

Question 44. 0.7 + 10 + \(\frac{6}{100}\) = 10.76

Answer: 7/10 = 0.7. 6/100 = 0.06.

Explanation: In the above-given question, given that, \(\frac{7}{10}\) divide number by 10. 7/10 = 0.7. 6/100 = 0.06. 10 + 0.7 + 0.06 = 10.76.

Eureka Math Grade 4 Module 6 Lesson 8 Problem Set Answer Key

Engage NY Math Grade 4 Module 6 Lesson 8 Problem Set Answer Key 1

Answer: 2.5

Eureka-Math-Grade-4-Module-6-Lesson-8-Answer Key-3

Question 2. Draw place value disks to represent the following decompositions: 2 ones = _____20___ tenths

2 2.0 20 tenths \(\frac{20}{10}\) 200 hundredths \(\frac{200}{100}\)

 

Answer: 2 0nes = 20 tenths.

Explanation: In the above-given question, given that, 2 ones = 20 tenths. 20 tenths = 20/10. 20/10 = 2.

2 tenths = ____20____ hundredths

2 2.0 20 tenths \(\frac{20}{10}\) 200 hundredths \(\frac{200}{100}\)

Answer: 2 tenths = 20 hundredths.

Explanation: In the above-given question, given that, 2 tenths = 20 hundredths. 20 hundredths = 20/100. 20/100 = 0.2.

1 one 3 tenths = __30__ tenths

1 3.0 30 tenths \(\frac{30}{10}\) 300 hundredths \(\frac{200}{100}\)

Answer: 1 0ne 3 tenths = 30 tenths.

Explanation: In the above-given question, given that, 1 one 3 tenths = 30 tenths. 30 tenths = 30/10. 30/10 = 3.

2 tenths 3 hundredths = __23__ hundredths

23 2.3 230 tenths \(\frac{30}{10}\) 2300 hundredths \(\frac{2300}{100}\)

 

Answer: 2 tenths 3 hundredths = 23 hundredths.

Explanation: In the above-given question, given that, 2 tenths = 23 hundredths. 23 hundredths = 23/100. 23/100 = 0.23.

Question 3. Decompose the units to represent each number as tenths. a. 1 = __10__ tenths b. 2 = __20__ tenths c. 1.7 = __170___ tenths d. 2.9 = __290___ tenths e. 10.7 = __1070___ tenths f. 20.9 = __2090__ tenths

Answer: a 1 = 10 tenths.

Explanation: In the above-given question, given that, 1 tenth = 10/10. 10/10 =1.

Answer: b. 2 = 20 tenths.

Explanation: In the above-given question, given that, 2 tenth = 20/10. 20/10 = 2.

Answer: c 1.7 = 17 tenths.

Explanation: In the above-given question, given that, 1.7 = 17/10. 17/10 = 1.7.

Answer: d. 2.9 = 29 tenths.

Explanation: In the above-given question, given that, 2.9 tenth = 29/10. 29/10 = 2.9.

Answer: e 10.7 = 107 tenths.

Explanation: In the above-given question, given that, 10.7  = 107/10. 17/10 = 10.7.

Answer: f 20.9 = 209 tenths.

Explanation: In the above-given question, given that, 20.9  = 209/10. 209/10 = 20.9.

Question 4. Decompose the units to represent each number as hundredths. a. 1 = ___100__ hundredths b. 2 = __200___ hundredths c. 1.7 = __170___ hundredths d. 2.9 = __290___ hundredths e. 10.7 = __1070___ hundredths f. 20.9 = __2090___ hundredths

Answer: a. 1 = 100 hundredths.

Explanation: In the above-given question, given that, 1 = 100 hundredths. 100 hundredths = 100/100. 100/100 = 1.

Answer: b. 2 = 200 hundredths.

Explanation: In the above-given question, given that, 2 = 200 hundredths. 200 hundredths = 200/100. 200/100 = 2.

Answer: c. 1.7 = 17 hundredths.

Explanation: In the above-given question, given that, 1.7 = 17 hundredths. 17 hundredths = 1.7/100. 100/100 = 0.017.

Answer: d. 2.9 = 29 hundredths.

Explanation: In the above-given question, given that, 2.9 = 29 hundredths. 29 hundredths = 29/100. 29/100 = 0.29.

Answer: e. 1 = 100 hundredths.

Answer: f. 10.7 = 107 hundredths.

Explanation: In the above-given question, given that, 10.7 = 107 hundredths. 107 hundredths = 107/100. 107/100 = 1.07.

Answer: g. 20.9 = 209 hundredths.

Explanation: In the above-given question, given that, 20.9 = 209 hundredths. 209 hundredths = 209/100. 209/100 = 2.09.

Question 5. Complete the chart. The first one has been done for you.

2.1 2 21 tenths \(\frac{21}{10}\) 210 hundredths \(\frac{210}{100}\)
4.2 4 42 tenths \(\frac{42}{10}\) 420 hundredths \(\frac{420}{100}\)
8.4 8 84 tenths \(\frac{84}{10}\) 840 hundredths \(\frac{840}{100}\)
10.2 10 102 tenths \(\frac{102}{10}\) 1020 hundredths \(\frac{1020}{100}\)
75.5 75 755 tenths \(\frac{755}{10}\) 7550hundredths \(\frac{755}{100}\)

Answer: 2.1 = 21 tenths \(\frac{21}{10}\).

Explanation: In the above-given question, given that, 21 tenths \(\frac{21}{10}\) 21 = 21/10.

Answer: 4.2 = 42 tenths \(\frac{42}{10}\).

Explanation: In the above-given question, given that, 42 tenths \(\frac{42}{10}\) 42 = 42/10.

Answer: 8.4 = 84 tenths \(\frac{84}{10}\).

Explanation: In the above-given question, given that, 84 tenths \(\frac{84}{10}\) 8.4 = 84/10.

Answer: 10.2 = 102 tenths \(\frac{102}{10}\).

Explanation: In the above-given question, given that, 102 tenths \(\frac{102}{10}\) 102 = 102/10.

Answer: 75.5 = 755 tenths \(\frac{755}{10}\).

Explanation: In the above-given question, given that, 755 tenths \(\frac{755}{10}\) 75.5 = 755/10.

Eureka Math Grade 4 Module 6 Lesson 8 Exit Ticket Answer Key

Question 1. a. Draw place value disks to represent the following decomposition: 3 ones 2 tenths = _____32___ tenths

32 3.2 320 tenths \(\frac{320}{10}\) 3200 hundredths \(\frac{320}{100}\)

Answer: 3 ones 2 tenths = 32.

Explanation: In the above-given question, given that, 3 ones 2 tenths = 32. 3 + 2 x 10. 3 + 20 = 23.

b. 3 ones 2 tenths = ____32____ hundredths

Answer: 3 ones 2 tenths = 32 hundredths.

Explanation: In the above-given question, given that, 3 ones 2 tenths = 32 hundredths.

Question 2. Decompose the units. a. 2.6 = __26__ tenths b. 6.1 = __61__ hundredths

Answer: a. 2.6 = 26 tenths.

Explanation: In the above-given question, given that, 2.6  = 26/10.

Answer: b. 6.1 = 610 hundredths.

Explanation: In the above-given question, given that, 6.1 = 610/10.

Eureka Math Grade 4 Module 6 Lesson 8 Homework Answer Key

Eureka Math Grade 4 Module 6 Lesson 8 Homework Answer Key 1

Answer: 2.2

Explanation: In the above-given question, given that, 220/100. zero gets canceled on both sides. 22/10. 2.2

Question 2. Draw place value disks to represent the following decompositions: 3 ones = ____30____ tenths

3 3.0 30 tenths \(\frac{30}{10}\) 300 hundredths \(\frac{3}{100}\)

Answer: b. 3 ones = 30 tenths.

Explanation: In the above-given question, given that, 3 ones = 30/10. 30/10 = 3.

3 tenths = ___30_____ hundredths

30 3.0 30 tenths \(\frac{30}{10}\) 300 hundredths \(\frac{3}{100}\)

Answer: b. 3 tenths = 30 hundredths.

Explanation: In the above-given question, given that, 3 tenth = 30/100. 30/10 = 0.3.

2 ones 3 tenths = _230___ tenths

23 2.3 23 tenths \(\frac{30}{10}\) 2300 hundredths \(\frac{230}{100}\)

Answer: b. 2 ones = 230 tenths.

Explanation: In the above-given question, given that, 2 ones = 230/10.

3 tenths 3 hundredths = __330__ hundredths

33 3.3 330 tenths \(\frac{33}{10}\) 3300 hundredths \(\frac{230}{100}\)

Answer: b. 3 tenths = 0.3 3 hundredths = 0.03.

Explanation: In the above-given question, given that, 3 tenth = 0.3. 3 hundredths = 0.03. 0.3 + 0.03 = 0.33.

Question 3. Decompose the units to represent each number as tenths. a. 1 = __10___ tenths b. 2 = __2___ tenths c. 1.3 = __13___ tenths d. 2.6 = ___26__ tenths e. 10.3 = __103___ tenths f. 20.6 = __206___ tenths

Answer: a. 1 = 10 tenths.

Explanation: In the above-given question, given that, 1 = 10/10. 10/10 = 1.

Explanation: In the above-given question, given that, 2  = 20/10. 20/10 = 2.

Answer: c. 1.3 = 13 tenths.

Explanation: In the above-given question, given that, 1.3  = 13/10. 13/10 = 1.3.

Question 4. Decompose the units to represent each number as hundredths. a. 1 = __100___ hundredths b. 2 = __200___ hundredths c. 1.3 = __13___ hundredths d. 2.6 = _26____ hundredths e. 10.3 = __103___ hundredths f. 20.6 = _206____ hundredths

Answer: c. 1.3 = 130 hundredths.

Explanation: In the above-given question, given that, 1.3 = 130 hundredths. 130 hundredths = 130/100. 130/100 = 1.3.

Answer: d. 2.6 = 260 hundredths.

Explanation: In the above-given question, given that, 2.6 = 260 hundredths. 260 hundredths = 260/100. 260/100 = 2.6

Answer: e. 10.3 = 103 hundredths.

Explanation: In the above-given question, given that, 10.3 = 103 hundredths. 103 hundredths = 103/100. 103/100 = 10.3.

Answer: f. 20.6 = 206 hundredths.

Explanation: In the above-given question, given that, 20.6 = 206 hundredths. 206 hundredths = 206/100. 206/100 = 2.6.

Question 5. Complete the chart. The first one has been done for you

4.1 4 41 tenths \(\frac{41}{10}\) 410 hundredths \(\frac{410}{100}\)
5.3 5 53 tenths \(\frac{53}{10}\) 530 hundredths \(\frac{530}{100}\)
9.7 9 97 tenths \(\frac{97}{10}\) 970 hundredths \(\frac{970}{100}\)
10.9 10 109 tenths \(\frac{109}{10}\) 1090 hundredths \(\frac{1090}{100}\)
68.5 68 685 tenths \(\frac{685}{10}\) 685 hundredths \(\frac{6850}{100}\)

Answer: 4.1

Explanation: In the above-given question, given that, 41 tenths \(\frac{41}{10}\) 41/10. 4.1

Answer: 5.3

Explanation: In the above-given question, given that, 53 tenths \(\frac{53}{10}\) 53/10. 5.3

Answer: 9.7

Explanation: In the above-given question, given that, 97 tenths \(\frac{97}{10}\) 97/10. 9.7

Answer: 10.9

Explanation: In the above-given question, given that, 109 tenths \(\frac{109}{10}\) 109/10. 10.9

Answer: 68.5.

Explanation: In the above-given question, given that, 685 tenths \(\frac{685}{10}\) 685/10. 68.5.

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