grade 4 module 1 lesson 17 homework

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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.

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Eureka Math Grade 4 Module 5 Lesson 17 Answer Key

Engage ny eureka math 4th grade module 5 lesson 17 answer key, eureka math grade 4 module 5 lesson 17 problem set answer key.

Question 1. Use the following three fractions to write two subtraction and two addition number sentences. a. \(\frac{8}{5}\), \(\frac{2}{5}\), \(\frac{10}{5}\)

Answer: Subtraction sentences = 7/5, 6/5, 1/5, -1/5, 9/5, 8/5. Addition sentences = 9/5,10/5, 3/5, 4/5, 11/5, 12/5.

Explanation: In the above-given question, given that, 8/5, 2/5, 10/5. 8/5 + 1 = 9/5. 9/5 + 1 = 10/5. 2/5 + 1 = 3/5. 3/5 + 1 = 4/5. 10/5 + 1 = 11/5. 11/5 + 1 = 12/5. 8/5 – 1 = 7/5. 7/5 – 1 = 6/5. 2/5 – 1 = 1/5. 1/5 – 1 = -1/5. 10/5 – 1 = 9/5. 9/5 – 1 = 8/5.

b. \(\frac{15}{8}\), \(\frac{7}{8}\), \(\frac{8}{8}\)

Answer: Subtraction sentences = 14/8, 13/8, 6/8, 5/8, 7/8, 6/8. Addition sentences = 16/8,17/8, 8/8, 9/8, 9/8, 10/8.

Explanation: In the above-given question, given that, 15/8, 7/8, 8/8. 15/8 + 1 = 16/8. 16/8 + 1 = 17/8. 7/8 + 1 = 8/8. 8/8 + 1 = 9/8. 9/8 + 1 = 10/8. 10/8 + 1 = 11/8. 15/8 – 1 = 14/8. 14/8 – 1 = 13/8. 7/8 – 1 = 6/8. 6/8 – 1 = 5/8. 8/8 – 1 = -7/8. 7/8 – 1 = 6/8.

Answer: 1 – 3/4 = 1/4.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 3/4. 4 – 3/4. 1/4.

b. 1 – \(\frac{8}{10}\)

Answer: 1 – 8/10 = 2/10.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 8/10. 10 – 8/10. 2/10.

c. 1 – \(\frac{3}{5}\)

Answer: 1 – 3/5 = 2/5.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 3/5. 5 – 3/5. 2/5.

d. 1 – \(\frac{5}{8}\)

Answer: 1 – 5/8 = 3/8.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 5/8. 8 – 5/8. 3/8.

e. 1\(\frac{2}{10}\) – \(\frac{7}{10}\)

Answer: 1 – 2/10 – 7/10 = 1/10.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 2/10. 10 – 2/10. 8/10 – 7/10. 1/10.

f. 1\(\frac{1}{5}\) – \(\frac{3}{5}\)

Answer: 1 – 1/5 – 3/5 = 1/5.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 1/5. 5 – 1/5. 4/5 – 3/5. 1/5.

Answer: 5/5 + 2/5 = 7/5.

Explanation: In the above-given question, given that, 1(2/5) – 4/5. 7/5 – 4/5 = 3/5. 5/5 + 2/5 = 7/5. 7/5 – 4/5 = 3/5. 5/5 – 4/5 = 1/5. 1/5 + 2/5 = 3/5.

b. 1\(\frac{3}{6}\) – \(\frac{4}{6}\)

Answer: 6/6 + 3/6 = 9/6.

c. 1\(\frac{6}{8}\) – \(\frac{7}{8}\)

Answer: 10/8 + 4/8 = 14/8.

d. 1\(\frac{1}{10}\) – \(\frac{7}{10}\)

Answer: 8/10 + 3/10 = 11/10.

e. 1\(\frac{3}{12}\) – \(\frac{6}{12}\)

Answer: 6/12 + 3/12 = 9/12.

Eureka Math Grade 4 Module 5 Lesson 17 Exit Ticket Answer Key

Question 1. Solve. Model the problem with a number line, and solve by both counting up and subtracting. 1 – \(\frac{2}{5}\)

Answer: 1 – 2/5 = 3/5.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 2/5. 5 – 2/5. 3/5.

Question 2. Find the difference in two ways. Use a number bond to show the decomposition. 1\(\frac{2}{7}\) – \(\frac{5}{7}\)

Answer: 5/7 + 4/7 = 9/7.

Explanation: In the above-given question, given that, 1(2/7) – 5/7. 9/7 – 5/7 = 4/7. 5/7 + 4/7 = 9/7. 9/7 – 5/7 = 4/7. 5/7 – 4/5 = 1/7. 1/7 + 2/7 = 3/7.

Eureka Math Grade 4 Module 5 Lesson 17 Homework Answer Key

Question 1. Use the following three fractions to write two subtraction and two addition number sentences.

a. \(\frac{5}{6}\), \(\frac{4}{6}\), \(\frac{9}{6}\)

Answer: Subtraction sentences = 4/6, 3/6, 3/6, 2/6, 8/6, 7/6. Addition sentences = 6/6,7/6, 5/6, 6/6, 10/6, 11/6.

Explanation: In the above-given question, given that, 5/6, 4/6, 9/6. 5/6 + 1 = 6/6. 6/6 + 1 = 7/6. 4/6 + 1 = 5/6. 5/6 + 1 = 6/6. 9/6 + 1 = 10/6. 10/6 + 1 = 11/6. 5/6 – 1 = 4/6. 4/6 – 1 = 3/6. 4/6 – 1 = 3/6. 3/6 – 1 = 2/6. 9/6 – 1 = -8/6. 8/6 – 1 = 7/6.

b. \(\frac{5}{9}\), \(\frac{13}{9}\), \(\frac{8}{9}\)

Answer: Subtraction sentences = 4/9, 3/9, 12/9, 11/9, 7/9, 6/9. Addition sentences = 6/9,7/9, 14/9, 15/9, 9/9, 10/9.

Explanation: In the above-given question, given that, 5/9, 13/9, 8/9. 5/9 + 1 = 6/9. 6/9 + 1 = 7/9. 13/9 + 1 = 14/9. 14/9 + 1 = 15/9. 8/9 + 1 = 9/9. 9/9 + 1 = 10/9. 5/9 – 1 = 4/9. 4/9 – 1 = 3/9. 13/9 – 1 = 12/9. 12/9 – 1 = 11/9. 8/9 – 1 =  7/9. 7/9 – 1 = 6/9.

Question 2. Solve. Model each subtraction problem with a number line, and solve by both counting up and subtracting.

a. 1 – \(\frac{5}{8}\)

b. 1 – \(\frac{2}{5}\)

c. 1\(\frac{3}{6}\) – \(\frac{5}{6}\)

Answer: 1 – 3/6 – 5/6 = -2/6.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 3/6. 6 – 3/6. 3/6 – 5/6. -2/6.

d. 1 – \(\frac{1}{4}\)

Answer: 1 – 1/4 = 3/4.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 1/4. 4 – 1/4. 3/4.

e. 1\(\frac{1}{3}\) – \(\frac{2}{3}\)

Answer: 1 – 1/3 – 2/3 = 0.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 1/3. 3 – 1/3. 2/3 – 2/3. 0

f. 1\(\frac{1}{5}\) – \(\frac{2}{5}\)

Answer: 1 – 1/5 – 2/5 = 2/5.

Explanation: In the above-given question, given that, Model each subtraction problem with a number line. 1 – 1/5. 5 – 1/5. 4/5 – 2/5. 2/5.

b. 1\(\frac{3}{8}\) – \(\frac{7}{8}\)

Answer: 8/8 + 3/8 = 11/8.

c. 1\(\frac{1}{4}\) – \(\frac{3}{4}\)

d. 1\(\frac{2}{7}\) – \(\frac{5}{7}\)

Answer: 6/7 + 3/7 = 9/7.

e. 1\(\frac{3}{10}\) – \(\frac{7}{10}\)

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