## 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

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

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______

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_____

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____________

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____________

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

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.________

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__________

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

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.

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.

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.

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.

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

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_______

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______

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___________

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______________

0$$\frac{33}{10}$$.
0 + $$\frac{33}{10}$$.