eureka math grade 4 lesson 16 homework 4.1 answer key

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4th grade (Eureka Math/EngageNY)

Unit 1: module 1: place value, rounding, and algorithms for addition and subtraction, unit 2: module 2: unit conversions and problem solving with metric measurement, unit 3: module 3: multi-digit multiplication and division, unit 4: module 4: angle measure and plane figures, unit 5: module 5: fraction equivalence, ordering, and operations, unit 6: module 6: decimal fractions, unit 7: module 7: exploring measurement with multiplication.

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 1 Lesson 14 Answer Key

Engage ny eureka math 4th grade module 1 lesson 14 answer key, eureka math grade 4 module 1 lesson 14 problem set answer key.

Explanation: The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on. The minuend ones , tens , hundreds all the three places are less then the subtrahend. First Ones = 6 – 7 = 16 – 7 = 9. 6 is less than 7 so we borrow  1 from the 0 ten place  and make 0 tens as 9 tens  and make 6  ones  as 16 ones and we subtract 7 from 16. Tens = After borrowing 1 from hundred 0 becomes 9. 9 -1 = 8. Hundreds = After borrowing 1 from thousand 0 becomes 9 . 9 – 1 = 8. Thousands = 3 – 1 =  2. Ten thousand = 2 – 2 = 0. Hundred thousand = 1 – 1 = 0. The number 124,006 is the minuend, the number 121,117 is the subtrahend and the number 2,889 is the difference.

Explanation: The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on. Ones = 0 – 7 = 10 – 7 = 3. 0 is less than 7 so we borrow  1 from the 6 Tens place  and make 6 Tens  as 5 Tens  and make 0  ones  as 10 ones and we subtract 7 from 10. Tens =  5 – 1 = 4. Hundreds =0 – 1 = 1 – 1 = 9. 0 is less than 1 so we borrow  1 from the 4 Thousands  place  and make 4 Thousands   as 3 Thousands and make 0 hundreds  as 10 hundreds and we subtract 1 from 10. Thousands = 3 – 1 = 2. Ten thousand= 2 – 3 = 12 – 3 = 9. 2 is less than 3 so we borrow  1 from the 1 hundred Thousands  place  and make 1 hundred Thousands   as 0  hundred Thousands and make 2 ten thousand as 12 ten thousand and we subtract 3 from 12. The number 124,060 is the minuend, the number 31,117 is the subtrahend and the number 92,943 is the difference.

Draw a tape diagram to represent each problem. Use numbers to solve, and write your answer as a statement. Check your answers.

Eureka Math Grade 4 Module 1 Lesson 14 Exit Ticket Answer Key

Use the standard algorithm to solve the following subtraction problems.

Draw a tape diagram to represent the following problem. Use numbers to solve, and write your answer as a statement. Check your answer.

Eureka Math Grade 4 Module 1 Lesson 14 Homework Answer Key

Explanation: In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like ones borrow from tens tens borrow from hundreds hundreds borrow  from thousands thousands borrow from ten thousands ten thousands borrow from hundred thousands hundred thousands borrow from million. if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend. The number 71,989 is the minuend, the number 21,492 is the subtrahend and the number 50,497 is the difference.

Explanation: In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like ones borrow from tens tens borrow from hundreds hundreds borrow  from thousands thousands borrow from ten thousands ten thousands borrow from hundred thousands hundred thousands borrow from million. if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend. The number 371,089 is the minuend, the number 25,192 is the subtrahend and the number 345,897 is the difference.

Explanation: In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like ones borrow from tens tens borrow from hundreds hundreds borrow  from thousands thousands borrow from ten thousands ten thousands borrow from hundred thousands hundred thousands borrow from million. if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend. The number 879,989 is the minuend, the number 721,492 is the subtrahend and the number 158,497 is the difference.

Explanation: In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like ones borrow from tens tens borrow from hundreds hundreds borrow  from thousands thousands borrow from ten thousands ten thousands borrow from hundred thousands hundred thousands borrow from million. if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend. The number 500,989 is the minuend, the number 242,000 is the subtrahend and the number 258,989 is the difference.

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