## Engage NY Eureka Math 4th Grade Module 6 Lesson 2 Answer Key

### Eureka Math Grade 4 Module 6 Lesson 2 Problem Set Answer Key

Question 1.

For each length given below, draw a line segment to match. Express each measurement as an equivalent mixed number.

a. 2.6 cm

b. 3.4 cm

c. 3.7 cm

d. 4.2 cm

e. 2.5 cm

Answer:

a. decimal form = 2.6.

equivalent mixed number = 2\(\frac{6}{10}\) or 2\(\frac{3}{5}\)

Explanation:

In the above-given question,

given that,

2.6 = 2 x 6/10.

2 x 10/ 6 x 10 = 2/6.

b.decimal form = 3.4.

equivalent mixed number = 3 x 10/ 4 x 10.

Explanation:

In the above-given question,

given that,

3.4 = 3 x 4/10.

3 x 10/ 4 x 10 = 3/4.

c.decimal form = 3.7.

equivalent mixed number = 3 x 10/ 7 x 10.

Explanation:

In the above-given question,

given that,

3.7 = 3 x 7/10.

3 x 10/ 7 x 10 = 3/7.

d.decimal form = 4.2.

equivalent mixed number = 4 x 10/ 2 x 10.

Explanation:

In the above-given question,

given that,

4.2 = 4 x 2/10.

4 x 10/ 2 x 10 = 4/2.

e.decimal form = 2.5.

equivalent mixed number = 2 x 10/ 5 x 10.

Explanation:

In the above-given question,

given that,

2.5 = 2 x 5/10.

2 x 10/ 5 x 10 = 2/5.

Question 2.

Write the following as equivalent decimals. Then, model and rename the number as shown below.

a. 2 ones and 6 tenths = ___2.6_______

2\(\frac{6}{10}\) = 2 + \(\frac{6}{10}\) = 2 + 0.6 = 2.6

Answer:

2 + 0.6 = 2.6.

Explanation:

In the above-given question,

given that,

2 ones and 6 tenths.

2\(\frac{6}{10}\).

2 + \(\frac{6}{10}\).

2 + 0.6 = 2.6

b. 4 ones and 2 tenths = ____4.2______

Answer:

4 + 0.2 = 4.2.

Explanation:

In the above-given question,

given that,

4 ones and 2 tenths.

4\(\frac{2}{10}\).

4 + \(\frac{2}{10}\).

4 + 0.2 = 4.2.

c. 3\(\frac{4}{10}\) = ___3.4_____

Answer:

3 + 0.4 = 3.4.

Explanation:

In the above-given question,

given that,

3 ones and 4 tenths.

3\(\frac{4}{10}\).

3 + \(\frac{4}{10}\).

3 + 0.4 = 3.4.

d. 2\(\frac{5}{10}\) = ____2.5_____

How much more is needed to get to 5? _____2.5____________

Answer:

2 + 0.5 = 2.5.

Explanation:

In the above-given question,

given that,

2 ones and 5 tenths.

2\(\frac{5}{10}\).

2 + \(\frac{5}{10}\).

2 + 0.5 = 2.5.

2.5 + 2.5 = 5.0

e. \(\frac{37}{10}\) = ___3.7______

How much more is needed to get to 5? _____1.3____________

Answer:

37/10 = 3.7.

Explanation:

In the above-given question,

given that,

0 ones and 37 tenths.

0\(\frac{37}{10}\).

0 + \(\frac{37}{10}\).

0 + 3.7 = 3.7.

3.7 + 1.3 = 5.0

## Eureka Math Grade 4 Module 6 Lesson 2 Exit Ticket Answer Key

Question 1.

For the length given below, draw a line segment to match. Express the measurement as an equivalent mixed number.

4.8 cm

Answer:

decimal form = 4.8.

equivalent mixed number = 4 x 10/ 8 x 10.

Explanation:

In the above-given question,

given that,

4.8 = 4 x 8/10.

4 x 10/ 8 x 10 = 4/8.

Question 2.

Write the following in decimal form and as a mixed number. Shade the area model to match.

a. 3 ones and 7 tenths = _____3.7_____ = __3 x 7/10.________

Answer:

3 + 0.7 = 3.7 = 3 x 7/10.

Explanation:

In the above-given question,

given that,

3 ones and 7 tenths.

3\(\frac{7}{10}\).

3 + \(\frac{7}{10}\).

3 + 0.7 = 3.7.

b. \(\frac{24}{10}\) = ___2.4_____ = ___24/10____

How much more is needed to get to 5? _______2.6__________

Answer:

0 + 2.4 = 2.4.

Explanation:

In the above-given question,

given that,

0 ones and 24 tenths.

0\(\frac{24}{10}\).

0 + \(\frac{24}{10}\).

0 + 2.4 = 2.4.

2.4 + 2.6 = 5.0

## Eureka Math Grade 4 Module 6 Lesson 2 Homework Answer Key

Question 1.

For each length given below, draw a line segment to match. Express each measurement as an equivalent mixed number.

a. 2.6 cm

b. 3.5 cm

c. 1.7 cm

d. 4.3 cm

e. 2.2 cm

Answer:

a. decimal form = 2.6.

equivalent mixed number = 2 x 10/ 6 x 10.

Explanation:

In the above-given question,

given that,

2.6 = 2 x 6/10.

2 x 10/ 6 x 10 = 2/6.

Answer:

b. decimal form = 3.5.

equivalent mixed number = 3 x 10/ 5 x 10.

Explanation:

In the above-given question,

given that,

3.5 = 3 x 5/10.

3 x 10/ 5 x 10 = 3/5.

Answer:

c. decimal form = 1.7.

equivalent mixed number = 1 x 10/ 7 x 10.

Explanation:

In the above-given question,

given that,

1.7 = 1 x 7/10.

1 x 10/ 7 x 10 = 1/7.

Answer:

d. decimal form = 4.3.

equivalent mixed number = 4 x 10/ 3 x 10.

Explanation:

In the above-given question,

given that,

4.3 = 4 x 3/10.

4 x 10/ 3 x 10 = 4/3.

Answer:

e. decimal form = 2.2.

equivalent mixed number = 2 x 10/ 2 x 10.

Explanation:

In the above-given question,

given that,

2.2 = 2 x 2/10.

2 x 10/ 2 x 10 = 2/2.

Question 2.

Write the following in decimal form. Then, model and rename the number as shown below.

a. 2 ones and 4 tenths = ____2.4______

2\(\frac{4}{10}\) = 2 + \(\frac{4}{10}\) = 2 + 0.4 = 2.4

Answer:

2 + 0.4 = 2.4.

Explanation:

In the above-given question,

given that,

2 ones and 4 tenths.

2\(\frac{4}{10}\).

2 + \(\frac{4}{10}\).

2 + 0.4 = 2.4.

b. 3 ones and 8 tenths = ___3.8_______

Answer:

3 + 0.8 = 3.8.

Explanation:

In the above-given question,

given that,

3 ones and 8 tenths.

3\(\frac{8}{10}\).

3 + \(\frac{8}{10}\).

3 + 0.8 = 3.8.

c. 4\(\frac{1}{10}\) = ___4.1______

Answer:

4 + 0.1 = 4.1.

Explanation:

In the above-given question,

given that,

4 ones and 1 tenths.

4\(\frac{1}{10}\).

4 + \(\frac{1}{10}\).

4 + 0.1 = 4.1.

d. 1\(\frac{4}{10}\) = ___1.4____

How much more is needed to get to 5? ______3.6___________

Answer:

1 + 0.4 = 1.4.

Explanation:

In the above-given question,

given that,

1 one and 4 tenths.

1\(\frac{4}{10}\).

1 + \(\frac{4}{10}\).

1 + 0.4 = 1.4.

1.4 + 3.6 = 5.0

e. \(\frac{33}{10}\) = ___3.3______

How much more is needed to get to 5? ___1.7______________

Answer:

0 + 3.3 = 3.3.

Explanation:

In the above-given question,

given that,

0 ones and 33 tenths.

0\(\frac{33}{10}\).

0 + \(\frac{33}{10}\).

0 + 3.3 = 3.3.

3.3 + 1.7 = 5.0.