eureka math grade 4 lesson 22 homework 4.5 answer key

Eureka Math Grade 4 Module 6 Lesson 4 Answer Key

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

Answer: 2/10 = 0.2, 3/10 = 0.3, 4/10 = 0.4, 8/10 = 0.8, 6/10 = 0.6, 0.1 = 1/10, 0.2 = 2/10, 0.3 = 3/10, 0.7 = 7/10, 0.5 = 5/10, 5/10 = 0.5, 0.8 = 8/10, 7/10 = 0.7, 0.4 = 4/10, 9/10 = 0.9, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 15/10 = 1.5, 25/10 = 2.5, 45/10 = 4.5, 38/10 = 3.8, 1 = 10/10, 2 = 20/10, 5 = 50/10, 4 = 40/10, 4.1 = 41/10, 4.2 = 42/10, 4.6 = 46/10, 2.6 = 26/10, 3.6 = 36/10, 3.4 = 34/10, 2.3 = 23/10, 43/10 = 4.3, 20/10 = 2, 1.8 = 18/10, 34/10 = 3.4, 50/10 = 5, 4.7 = 47/10, 28/10 = 2.8, 30/10 = 3, 3.2 = 32/10, 20/10 = 2, 2.1 = 21/10.

Question 1. \(\frac{2}{10}\) = 0.2

Answer: 2/10 = 0.2.

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

Question 2. \(\frac{3}{10}\) = 0.3

Answer: 3/10 = 0.3.

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

Question 3. \(\frac{4}{10}\) = 0.4

Answer: 4/10 = 0.4.

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

Question 4. \(\frac{8}{10}\) = 0.8

Answer: 8/10 = 0.8.

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

Question 5. \(\frac{6}{10}\) = 0.6

Answer: 6/10 = 0.6.

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

Question 6. 0.1 = \(\frac{}{10}\)

Answer: 1/10 = 0.1.

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

Question 7. 0.2 = \(\frac{}{10}\)

Question 8. 0.3 = \(\frac{}{10}\)

Question 9. 0.7 = \(\frac{}{10}\)

Answer: 7/10 = 0.7.

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

Question 10. 0.5 = \(\frac{}{10}\)

Answer: 5/10 = 0.5.

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

Question 11. \(\frac{5}{10}\) = 0.5

Question 12. 0.8 = \(\frac{}{10}\)

Question 13. \(\frac{7}{10}\) = 0.7

Question 14. 0.4 = \(\frac{}{10}\)

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

Answer: 9/10 = 0.9.

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

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

Answer: 10/10 = 1.

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

Question 17. \(\frac{11}{10}\) = 1.1

Answer: 11/10 = 1.1.

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

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

Answer: 12/10 = 1.2.

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

Question 19. \(\frac{15}{10}\) = 1.5.

Answer: 15/10 = 1.5.

Explanation: In the above-given question, given that, \(\frac{15}{10}\). 15/10 = 1.5.

Question 20. \(\frac{25}{10}\) = 2.5.

Answer: 25/10 = 2.5.

Explanation: In the above-given question, given that, \(\frac{25}{10}\). 25/10 = 2.5.

Question 21. \(\frac{45}{10}\) = 4.5.

Answer: 45/10 = 4.5.

Explanation: In the above-given question, given that, \(\frac{45}{10}\). 45/10 = 4.5.

Question 22. \(\frac{38}{10}\) = 3.8.

Answer: 38/10 = 3.8.

Explanation: In the above-given question, given that, \(\frac{38}{10}\). 38/10 = 3.8.

Question 23. 1 = \(\frac{}{10}\)

Question 24. 2 = \(\frac{}{10}\)

Answer: 20/10 = 2.

Explanation: In the above-given question, given that, \(\frac{20}{10}\). 20/10 = 2.

Question 25. 5 = \(\frac{}{10}\)

Answer: 50/10 = 5.

Explanation: In the above-given question, given that, \(\frac{50}{10}\). 50/10 = 5.

Question 26. 4 = \(\frac{}{10}\)

Answer: 40/10 = 4.

Explanation: In the above-given question, given that, \(\frac{40}{10}\). 40/10 = 4.

Question 27. 4.1 = \(\frac{}{10}\)

Answer: 41/10 = 4.1.

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

Question 28. 4.2 = \(\frac{}{10}\)

Answer: 42/10 = 4.2.

Explanation: In the above-given question, given that, \(\frac{42}{10}\). 42/10 = 4.2.

Question 29. 4.6 = \(\frac{}{10}\)

Answer: 46/10 = 4.6.

Explanation: In the above-given question, given that, \(\frac{46}{10}\). 46/10 = 4.6.

Question 30. 2.6 = \(\frac{}{10}\)

Answer: 26/10 = 2.6.

Explanation: In the above-given question, given that, \(\frac{26}{10}\). 26/10 = 2.6.

Question 31. 3.6 = \(\frac{}{10}\)

Answer: 36/10 = 3.6.

Explanation: In the above-given question, given that, \(\frac{36}{10}\). 36/10 = 3.6.

Question 32. 3.4 = \(\frac{}{10}\)

Answer: 34/10 = 3.4.

Explanation: In the above-given question, given that, \(\frac{34}{10}\). 34/10 = 3.4.

Question 33. 2.3 = \(\frac{}{10}\)

Answer: 23/10 = 2.3.

Explanation: In the above-given question, given that, \(\frac{23}{10}\). 23/10 = 2.3.

Question 34. 4\(\frac{3}{10}\) = 4.3.

Answer: 43/10 = 4.3.

Explanation: In the above-given question, given that, \(\frac{43}{10}\). 43/10 = 4.3.

Question 35. \(\frac{20}{10}\) = 2.

Question 36. 1.8 = \(\frac{}{10}\)

Answer: 18/10 = 1.8.

Explanation: In the above-given question, given that, \(\frac{18}{10}\). 18/10 = 1.8.

Question 37. 3\(\frac{4}{10}\) = 3.4.

Question 38. \(\frac{50}{10}\) = 5.

Question 39. 4.7 = \(\frac{}{10}\)

Answer: 47/10 = 4.7.

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

Question 40. 2\(\frac{8}{10}\) = 2.8.

Answer: 28/10 = 2.8.

Explanation: In the above-given question, given that, \(\frac{28}{10}\). 28/10 = 2.8.

Question 41. \(\frac{30}{10}\) = 3.

Answer: 30/10 = 3.

Explanation: In the above-given question, given that, \(\frac{30}{10}\). 30/10 = 3.

Question 42. 3.2 = \(\frac{}{10}\)

Answer: 32/10 = 3.2.

Explanation: In the above-given question, given that, \(\frac{32}{10}\). 32/10 = 3.2.

Question 43. \(\frac{20}{10}\) = 2.

Question 44. 2.1 = \(\frac{}{10}\)

Answer: 21/10 = 2.1.

Explanation: In the above-given question, given that, \(\frac{21}{10}\). 21/10 = 2.1.

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, 6/10 = 0.6, 0.5 = 5/10, 9/10 = 0.9, 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, 1 = 10/10, 2 = 20/10, 4 = 40/10, 3 = 30/10, 3.1 = 31/10, 3.2 = 32/10, 3.6 = 36/10, 1.6 = 16/10, 2.6 = 26/10, 4.2 = 42/10, 2.5 = 25/10, 34/10 = 3.4, 20/10 = 2, 4.6 = 46/10, 24/10 = 2.4, 40/10 = 4, 2.3 = 23/10, 30/10 = 3, 4.1 = 41/10.

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

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

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

Question 4. \(\frac{7}{10}\) = 0.7.

Question 5. \(\frac{5}{10}\) = 0.5.

Question 6. 0.2 = \(\frac{}{10}\)

Question 7. 0.3 = \(\frac{}{10}\)

Question 8. 0.4 = \(\frac{}{10}\)

Question 9. 0.8 = \(\frac{}{10}\)

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

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

Question 12. 0.9 = \(\frac{}{10}\)

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

Question 14. 0.5 = \(\frac{}{10}\)

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

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

Question 17. \(\frac{11}{10}\) = 1.1.

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

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

Answer: 17/10 = 1.7.

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

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

Answer: 27/10 = 2.7.

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

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

Question 22. \(\frac{34}{10}\) = 3.4.

Question 25. 4 = \(\frac{}{10}\)

Question 26. 3 = \(\frac{}{10}\)

Question 27. 3.1 = \(\frac{}{10}\)

Answer: 31/10 = 3.1.

Explanation: In the above-given question, given that, \(\frac{31}{10}\). 31/10 = 3.1.

Question 28. 3.2 = \(\frac{}{10}\)

Question 29. 3.6 = \(\frac{}{10}\)

Question 30. 1.6 = \(\frac{}{10}\)

Answer: 16/10 = 1.6.

Explanation: In the above-given question, given that, \(\frac{16}{10}\). 16/10 = 1.6.

Question 31. 2.6 = \(\frac{}{10}\)

Question 32. 4.2 = \(\frac{}{10}\)

Question 33. 2.5 = \(\frac{}{10}\)

Question 34. 3\(\frac{4}{10}\) = 3.4.

Question 35. \(\frac{50}{10}\) = 5.

Question 36. 1.7 = \(\frac{}{10}\)

Question 37. 4\(\frac{3}{10}\) = 4.3.

Question 38. \(\frac{20}{10}\) = 2.

Question 39. 4.6 = \(\frac{}{10}\)

Question 40. 2\(\frac{4}{10}\) =2.4.

Answer: 24/10 = 2.4.

Explanation: In the above-given question, given that, \(\frac{24}{10}\). 24/10 = 2.4.

Question 41. \(\frac{40}{10}\) = 4.

Question 42. 2.3 = \(\frac{}{10}\)

Question 43. \(\frac{30}{10}\) = 3.

Question 44. 4.1 = \(\frac{}{10}\)

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

Answer: a.The length of the shaded part of the meter stick in centimeters = 1cm. b. 1/10 fraction of a meter is 1 centimeter. c. The length of the shaded portion of the meter stick = 1/10. d. decimal form = 0.1. e. 1/10 fraction of a meter is 10 centimeters.

Explanation: In the above-given question, given that, 1 meter = 10 centimeters. a.The length of the shaded part of the meter stick in centimeters = 1cm. b. 1/10 fraction of a meter is 1 centimeter. c. The length of the shaded portion of the meter stick = 1/10. d. decimal form = 0.1. e. 1/10 fraction of a meter is 10 centimeters.

Question 2. Fill in the blanks. a. 1 tenth = __10__ hundredths b. \(\frac{1}{10}\)m = \(\frac{}{10}\)m c. \(\frac{2}{10}\)m = \(\frac{20}{}\)m

Answer: a. 1 tenth = 10 hundredths. b. 1/10 = 10/10. c. 2/10 = 20/100.

Explanation: In the above-given question, given that, a. 1 tenth = 10 hundredths. b. 1/10 = 10/10. c. 2/10 = 20/100.

Answer: 0.24 m.

Answer: 0.38 m.

Answer: 0.84 m.

Explanation: In the above-given question, given that, \(\frac{8}{10}\)m + \(\frac{4}{100}\)m = \(\frac{84}{100}\)m = 0.84m 8/10 = 0.8. 4/100 = 0.04. 0.8 + 0.04 = 0.84 m

Answer: 0.17 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{7}{100}\)m = \(\frac{17}{100}\)m = 0.17m 1/10 = 0.1. 7/100 = 0.07. 0.1 + 0.07 = 0.17 m

Answer: 0.19 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{9}{100}\)m = \(\frac{19}{100}\)m = 0.19m 1/10 = 0.1. 9/100 = 0.09. 0.1 + 0.09 = 0.19 m.

Question 5. Draw a number bond, pulling out the tenths from the hundredths as in Problem 3. Write the total as the equivalent decimal. a. \(\frac{19}{100}\)m b. \(\frac{28}{100}\)m c. \(\frac{77}{100}\) m d. \(\frac{94}{100}\)m

Answer: a. 0.19 m.

Answer: b. 0.28 m.

Answer: c. 0.77 m.

Answer: 0.94 m.

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

Answer: 0.6 m.

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

Question 2. Draw a number bond, pulling out the tenths from the hundredths. Write the total as the equivalent decimal. a. \(\frac{62}{100}\)m b. \(\frac{27}{100}\)

Answer: a.0.62 m.

Answer: b.0.27 m.

Eureka Math Grade 4 Module 6 Lesson 4 Homework Answer Key

Answer: a.The length of the shaded part of the meter stick in centimeters = 3cm. b. 1/30 fraction of a meter is 3 centimeters. c. The length of the shaded portion of the meter stick = 1/30. d. decimal form = 0.03. e. 1/30 fraction of a meter is 30 centimeters.

Explanation: In the above-given question, given that, 1 meter = 100 centimeters. a.The length of the shaded part of the meter stick in centimeters = 3cm. b. 1/30 fraction of a meter is 3 centimeters. c. The length of the shaded portion of the meter stick = 1/30. d. decimal form = 0.03. e. 1/30 fraction of a meter is 30 centimeters.

Question 2. Fill in the blanks. a. 5 tenths = __50__ hundredths b. \(\frac{5}{10}\)m = \(\frac{}{100}\)m c. \(\frac{4}{10}\)m = \(\frac{40}{}\) m

Answer: a. 5 tenth = 50 hundredths. b. 5/10 = 50/100. c. 4/10 = 40/100.

Explanation: In the above-given question, given that, a. 5 tenth = 50 hundredths. b. 5/10 = 50/10. c. 4/10 = 40/100.

Answer: 0.46 m.

Answer: 0.15 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{5}{100}\)m = \(\frac{15}{100}\)m = 0.15m 1/10 = 0.1. 5/100 = 0.05. 0.1 + 0.05 = 0.15 m

Answer: 0.41 m.

Question 5. Draw a number bond, pulling out the tenths from the hundredths, as in Problem 3 of the Homework. Write the total as the equivalent decimal. a. \(\frac{23}{100}\)m b. \(\frac{38}{100}\)m c. \(\frac{82}{100}\)m d. \(\frac{76}{100}\)m

Answer: a.0.23 m.

Answer: b. 0.38 m.

Answer: c. 0.82 m.

Answer: d. 0.76 m.

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Eureka Math Grade 4 Module 5 Lesson 32 Answer Key

Engage ny eureka math 4th grade module 5 lesson 32 answer key, eureka math grade 4 module 5 lesson 32 problem set answer key.

Question 1. Subtract. Model with a number line or the arrow way. a. 3\(\frac{3}{4}\) – \(\frac{1}{4}\)

Answer: 3(3/4) – 1/4 = 2(7/4).

b. 4\(\frac{7}{10}\) – \(\frac{3}{10}\)

Answer: 4(7/10) – 3/10 = 4(7/10).

c. 5\(\frac{1}{3}\) – \(\frac{2}{3}\)

Answer: 5(1/3) – 2/3 = 4(4/3).

d. 9\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer: 9(3/5) – 4/5 = 5(23/5).

Answer: 5(3/5) – 4/5 =  24/5.

Explanation: In the above-given question, given that, use decomposition to subtract the fractions. 5(3/5) – 4/5. 5 x 5 = 25. 25 + 3/5 = 28/5. 4/5 = 3/5 + 1/5. 28/5 – 4/5 = 24/5.

b. 4\(\frac{1}{4}\) – \(\frac{2}{4}\)

Answer: 4(1/4) – 2/4 =  15/4.

Answer: 5(1/3) – 2/3 =  14/3.

d. 2\(\frac{3}{8}\) – \(\frac{5}{8}\)

Answer: 2(3/8) – 5/8 =  14/8.

Answer: 3(1/8) – 3/8 = 2(6/8).

Explanation: In the above-given question, given that, decompose the total to subtract the fractions. 3(1/8) – 3/8. 2(1/8) + 5/8. 2(6/8).

b. 5\(\frac{1}{8}\) – \(\frac{7}{8}\)

Answer: 5(1/8) – 7/8 = 4(9/8).

c. 5\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer: 5(3/5) – 4/5 = 4(8/5).

d. 5\(\frac{4}{6}\) – \(\frac{5}{6}\)

Answer: 5(4/6) – 5/6 = 4(9/6).

e. 6\(\frac{4}{12}\) – \(\frac{7}{12}\)

Answer: 6(4/12) – 7/12 = 5(16/12).

f. 9\(\frac{1}{8}\) – \(\frac{5}{8}\)

Answer: 9(1/8) – 5/8 = 8(8/8).

g. 7\(\frac{1}{6}\) – \(\frac{5}{6}\)

Answer: 7(1/6) – 5/6 = 6(7/6).

h. 8\(\frac{3}{10}\) – \(\frac{4}{10}\)

Answer: 8(3/10) – 4/10 = 7(13/10).

i. 12\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer: 12(3/5) – 4/5 = 11(8/5).

j. 11\(\frac{2}{6}\) – \(\frac{5}{6}\)

Answer: 11(2/6) – 5/6 = 2(6/8).

Eureka Math Grade 4 Module 5 Lesson 32 Exit Ticket Answer Key

Solve. Question 1. 10\(\frac{5}{6}\) – \(\frac{4}{6}\)

Answer: 10(5/6) – 4/6 = 9(11/6).

Explanation: In the above-given question, given that, decompose the total to subtract the fractions. 10(5/6) – 4/6. 9(4/6) + 7/6. 9(11/6).

Question 2. 8\(\frac{3}{8}\) – \(\frac{6}{8}\)

Answer: 8(3/8) – 6/8 = 2(6/8).

Explanation: In the above-given question, given that, decompose the total to subtract the fractions. 8(3/8) – 6/8. 8(2/8) + 1/8. 8(3/8).

Eureka Math Grade 4 Module 5 Lesson 32 Homework Answer Key

Question 1. Subtract. Model with a number line or the arrow way. a. 6\(\frac{3}{5}\) – \(\frac{1}{5}\)

Answer: 6(3/5) – 1/5 = 5(8/5).

b. 4\(\frac{9}{12}\) – \(\frac{7}{12}\)

Answer: 4(9/12) – 7/12 = 2(6/8).

c. 7\(\frac{1}{4}\) – \(\frac{3}{4}\)

Answer: 7(1/4) – 3/4 = 2(6/8).

d. 8\(\frac{3}{8}\) – \(\frac{5}{8}\)

Answer: 8(3/8) – 5/8 = 7(11/8).

Answer: 2(2/5) – 4/5 =  8/5.

Explanation: In the above-given question, given that, use decomposition to subtract the fractions. 2(2/5) – 4/5. 5 x 2 = 10. 10 + 2/5 = 12/5. 4/5 = 3/5 + 1/5. 12/5 – 4/5 = 8/5.

b. 2\(\frac{1}{3}\) – \(\frac{2}{3}\)

Answer: 2(1/3) – 2/3 =  5/3.

c. 4\(\frac{1}{6}\) – \(\frac{4}{6}\)

d. 3\(\frac{3}{6}\) – \(\frac{5}{6}\)

Answer: 3(3/6) – 5/6 =  16/6.

e. 9\(\frac{3}{8}\) – \(\frac{7}{8}\)

Answer: 9(3/8) – 7/8 =  68/8.

f. 7\(\frac{1}{10}\) – \(\frac{6}{10}\)

Answer: 7(1/10) – 6/10 =  65/10.

g. 10\(\frac{1}{8}\) – \(\frac{5}{8}\)

Answer: 10(1/8) – 5/8 =  14/3.

h. 9\(\frac{4}{12}\) – \(\frac{7}{12}\)

Answer: 9(4/12) – 7/12 =  14/3.

i. 11\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer: 11(3/5) – 4/5 =  54/5.

j. 17\(\frac{1}{9}\) – \(\frac{5}{9}\)

Answer: 17(1/9) – 5/9 =  149/9.

Answer: 5(2/5) – 3/5 = 4(7/5).

c. 7\(\frac{1}{8}\) – \(\frac{3}{8}\)

Answer: 7(1/8) – 3/8 = 6(9/8).

d. 3\(\frac{3}{9}\) – \(\frac{4}{9}\)

Answer: 3(3/9) – 4/9 = 2(12/9).

e. 6\(\frac{3}{10}\) – \(\frac{7}{10}\)

Answer: 6(3/10) – 7/10 = 5(13/10).

f. 2\(\frac{5}{9}\) – \(\frac{8}{9}\)

Answer: 2(5/9) – 8/9 = 1(5/9).

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