## Engage NY Eureka Math 4th Grade Module 5 Lesson 1 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 1 Problem Set Answer Key

Question 1.

Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.

a.

Answer:

1 = 1/3 + 1/3 + 1/3.

Explanation:

In the above-given question,

given that,

total there are 3 boxes.

the 3 boxes are filled.

1 = 1/3 + 1/3 + 1/3.

b.

Answer:

4/5 = 1/5 + 2/5 + 1/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 4 boxes are filled.

4/5 = 1/5 + 2/5 + 1/5.

c.

Answer:

3/4 = 1/4 + 1/4 + 1/4.

Explanation:

In the above-given question,

given that,

total there are 4 boxes.

the 3 boxes are filled.

3/4 = 1/4 + 1/4 + 1/4.

d.

Answer:

4/6 = 2/6 + 2/6.

Explanation:

In the above-given question,

given that,

total there are 6 boxes.

the 4 boxes are filled.

4/6 = 2/6 + 2/6 .

e.

Answer:

6/8 = 2/8 + 2/8 + 2/8.

Explanation:

In the above-given question,

given that,

total there are 8 boxes.

the 6 boxes are filled.

6/8 = 2/8 + 2/8 + 2/8.

f.

Answer:

1 = 1/5 + 1/5 + 1/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 5 boxes are filled.

1 = 1/5 + 1/5 + 1/5 + 1/5.

g.

Answer:

1 = 1/5 + 2/5 + 3/5 + 1/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 5 boxes are filled.

1 = 1/5 + 2/5 + 3/5 +1/5.

h.

Answer:

1 = 1/11 + 2/11 + 2/11 + 4/11 +1/11 + 8/11.

Explanation:

In the above-given question,

given that,

total there are 11 boxes.

the 11 boxes are filled.

1 = 1/11 + 2/11 + 2/11 + 4/11 + 1/11 + 8/1.

Question 2.

Draw and label tape diagrams to model each decomposition.

a. 1 = \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)

Answer:

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

Explanation:

In the above-given question,

given that,

total there are 6 boxes.

the 6 boxes are filled.

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

b. \(\frac{4}{5}\) = \(\frac{1}{5}+\frac{2}{5}+\frac{1}{5}\)

Answer:

4/5 = 1/5 + 2/5 + 1/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 4 boxes are filled.

4/5 = 1/5 + 2/5 + 1/5.

c. \(\frac{7}{8}\) = \(\frac{3}{8}+\frac{3}{8}+\frac{1}{8}\)

Answer:

7/8 = 3/8 + 3/8 + 1/8.

Explanation:

In the above-given question,

given that,

total there are 8 boxes.

the 7 boxes are filled.

7/8 = 3/8 + 3/8 + 1/8.

d. \(\frac{11}{8}\) = \(\frac{7}{8}+\frac{1}{8}+\frac{3}{8}\)

Answer:

11/8 = 7/8 + 1/8 + 3/8.

Explanation:

In the above-given question,

given that,

total there are 11 boxes.

the 8 boxes are filled.

11/8 = 7/8 + 1/8 + 3/8.

e. \(\frac{12}{10}\) = \(\frac{6}{10}+\frac{4}{10}+\frac{2}{10}\)

Answer:

12/10 = 6/10 + 4/10 + 2/10.

Explanation:

In the above-given question,

given that,

total there are 12 boxes.

the 10 boxes are filled.

12/10 = 6/10 + 4/10 + 2/10.

f. \(\frac{15}{12}\) = \(\frac{8}{12}+\frac{3}{12}+\frac{4}{12}\)

Answer:

15/12 = 8/12 + 3/12 + 4/12.

Explanation:

In the above-given question,

given that,

total there are 15 boxes.

the 12 boxes are filled.

15/12 = 8/12 + 3/12 + 4/12.

g. 1\(\frac{2}{3}\) = 1 + \(\frac{2}{3}\)

Answer:

2/3 = 1 + 2/3.

Explanation:

In the above-given question,

given that,

total there are 3 boxes.

the 2 boxes are filled.

2/3 = 1 + 2/3.

h. 1\(\frac{5}{8}\) = 1 + \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{3}{8}\)

Answer:

5/8 = 1 + 1/8 + 1/8 + 3/8.

Explanation:

In the above-given question,

given that,

total there are 8 boxes.

the 5 boxes are filled.

5/8 =1 + 1/8 + 1/8 + 3/8.

### Eureka Math Grade 4 Module 5 Lesson 1 Exit Ticket Answer Key

Question 1.

Complete the number bond, and write the number sentence to match the tape diagram.

Answer:

1 = 1/4 + 1/4 + 1/4 + 1/4.

Explanation:

In the above-given question,

given that,

total there are 4 boxes.

the 4 boxes are filled.

1 = 1/4 + 1/4 + 1/4 + 1/4.

Question 2.

Draw and label tape diagrams to model each number sentence.

a. 1 = \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\)

Answer:

1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 5 boxes are filled.

1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

b. \(\frac{5}{6}\) = \(\frac{2}{6}+\frac{2}{6}+\frac{1}{6}\)

Answer:

5/6 = 2/6 + 2/6 + 1/6.

Explanation:

In the above-given question,

given that,

total there are 6 boxes.

the 5 boxes are filled.

5/6 = 2/6 + 2/6 + 1/6.

### Eureka Math Grade 4 Module 5 Lesson 1 Homework Answer Key

Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.

a.

b.

Answer:

2/4 = 1/4 + 1/4 .

Explanation:

In the above-given question,

given that,

total there are 4 boxes.

the 2 boxes are filled.

2/4 = 1/4 + 1/4 .

c.

Answer:

3/5 = 1/5 + 2/5.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 3 boxes are filled.

3/5 = 1/5 + 2/5.

d.

Answer:

6/7 = 3/7 + 2/7 + 1/7.

Explanation:

In the above-given question,

given that,

total there are 7 boxes.

the 6 boxes are filled.

6/7 = 3/7 + 2/7 + 1/7.

e.

Answer:

3/8 = 2/8 + 1/8 .

Explanation:

In the above-given question,

given that,

total there are 8 boxes.

the 3 boxes are filled.

3/8 = 2/8 + 1/8.

f.

Answer:

1 = 1/6 + 1/7.

Explanation:

In the above-given question,

given that,

total there are 7 boxes.

the 6 boxes are filled.

1 = 1/6 + 1/7.

g.

Answer:

1 = 3/6 + 2/6 + 1/6.

Explanation:

In the above-given question,

given that,

total there are 6 boxes.

the 6 boxes are filled.

1 = 3/6 + 2/6 + 1/6.

h.

Answer:

1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Explanation:

In the above-given question,

given that,

total there are 12 boxes.

the 12 boxes are filled.

1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Question 2.

Draw and label tape diagrams to match each number sentence.

a. \(\frac{5}{8}\) = \(\frac{2}{8}+\frac{2}{8}+\frac{1}{8}\)

Answer:

5/8 = 2/8 + 2/8 + 1/8.

Explanation:

In the above-given question,

given that,

total there are 8 boxes.

the 5 boxes are filled.

5/8 = 2/8 + 2/8 + 1/8.

b. \(\frac{12}{8}\) = \(\frac{6}{8}+\frac{2}{8}+\frac{4}{8}\)

Answer:

12/8 = 6/8 + 2/8 + 4/8.

Explanation:

In the above-given question,

given that,

total there are 12 boxes.

the 8 boxes are filled.

12/8 = 6/8 + 2/8 + 4/8.

c. \(\frac{11}{10}\) = \(\frac{5}{10}+\frac{5}{10}+\frac{1}{10}\)

Answer:

11/10 = 5/10 + 5/10 + 1/10.

Explanation:

In the above-given question,

given that,

total there are 11 boxes.

the 10 boxes are filled.

11/10 = 5/10 + 5/10 + 1/10.

d. \(\frac{13}{12}\) = \(\frac{7}{12}+\frac{1}{12}+\frac{5}{12}\)

Answer:

13/12 = 7/12 + 1/12 + 5/12.

Explanation:

In the above-given question,

given that,

total there are 13 boxes.

the 12 boxes are filled.

13/12 = 7/12 + 1/12 + 5/12.

e. 1\(\frac{1}{4}\) = 1 + \(\frac{1}{4}\)

Answer:

5/4 = 1 + 1/4.

Explanation:

In the above-given question,

given that,

total there are 5 boxes.

the 4 boxes are filled.

5/4 = 1 + 1/4.

f. 1\(\frac{2}{7}\) = 1 + \(\frac{2}{7}\)

Answer:

9/7 = 1 + 2/7.

Explanation:

In the above-given question,

given that,

total there are 9 boxes.

the 7 boxes are filled.

9/7 = 1 + 2/7.