## Engage NY Eureka Math 4th Grade Module 6 Lesson 5 Answer Key

### Eureka Math Grade 4 Module 6 Lesson 5 Problem Set Answer Key

Question 1.

Find the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.

Answer:

a. 3Â xÂ 10 = 30.

10 x 10 = 100.

Explanation:

In the above-given question,

given that,

3 x 10 = 30.

10 x 10 = 100.

30/100 = 0.3.

Answer:

a. 50Â /Â 10 = 5.

100 / 10 = 10.

Explanation:

In the above-given question,

given that,

50 / 10 = 5.

100 / 10 = 10.

5/10 = 0.5.

Question 2.

Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.

a. 37 hundredths = ___3__tenths + __7__ hundredths

Fraction form: __37/100____

Decimal form: __0.37____

Answer:

37 hundredths = 3 tenths + 7 hundredths.

fraction form = 37/100.

decimal form = 0.37.

Explanation:

In the above-given question,

given that,

3 tenths = 3/10 = 0.3.

7 hundredths = 7/100 = 0.07.

0.3 + 0.07 = 0.37.

37 hundredths = 3 tenths + 7 hundredths.

fraction form = 37/100.

decimal form = 0.37.

b. 75 hundredths = __7__ tenths + __5__ hundredths

Fraction form: __75/100____

Decimal form: __0.75____

Answer:

75 hundredths = 7 tenths + 5 hundredths.

fraction form = 75/100.

decimal form = 0.75.

Explanation:

In the above-given question,

given that,

7 tenths = 7/10 = 0.7.

5 hundredths = 5/100 = 0.05.

0.7 + 0.05 = 0.75.

75 hundredths = 7 tenths + 5 hundredths.

fraction form = 75/100.

decimal form = 0.75.

Question 3.

Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.

a.

Answer:

12 hundredths = 1 tenths + 2 hundredths.

fraction form = 12/100.

decimal form = 0.12.

Explanation:

In the above-given question,

given that,

1 tenths = 1/10 = 0.1.

2 hundredths = 2/100 = 0.02.

0.1 + 0.02 = 0.12.

12 hundredths = 1 tenths + 2 hundredths.

fraction form = 12/100.

decimal form = 0.12.

b.

_27___ hundredths = ___2__ tenths + __7___ hundredths

Answer:

27 hundredths = 2 tenths + 7 hundredths.

fraction form = 27/100.

decimal form = 0.27.

Explanation:

In the above-given question,

given that,

2 tenths = 2/10 = 0.2.

7 hundredths = 7/100 = 0.07.

0.2 + 0.07 = 0.27.

27 hundredths = 2 tenths + 7 hundredths.

fraction form = 27/100.

decimal form = 0.27.

Question 4.

Use both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.

a. \(\frac{3}{100}\) = 0. _03_____

___3__ hundredths

Answer:

3 hundredths = 0 tenths + 3 hundredths.

fraction form = 3/100.

decimal form = 0.03.

unit form = 300.

Explanation:

In the above-given question,

given that,

0 tenths = 0/10 = 0.

3 hundredths = 3/100 = 0.03.

0 + 0.03 = 0.03.

3 hundredths = 0 tenths + 3 hundredths.

fraction form = 3/100.

decimal form = 0.03.

unit form = 300.

b. \(\frac{15}{100}\) = 0. __15____

__1___ tenth __5___ hundredths

Answer:

15 hundredths = 1 tenths + 5 hundredths.

fraction form = 15/100.

decimal form = 0.15

unit form = 250.

Explanation:

In the above-given question,

given that,

1 tenths = 1/10 = 0.1

5 hundredths = 5/100 = 0.15.

0.1 + 0.15 = 0.25.

15 hundredths = 1 tenths + 5 hundredths.

fraction form = 15/100.

decimal form = 0.15.

unit form = 250.

c. __72/100___ = 0.72

__72___ hundredths

Answer:

72 hundredths = 7 tenths + 2 hundredths.

fraction form = 72/100.

decimal form = 0.72.

unit form = 720.

Explanation:

In the above-given question,

given that,

7 tenths = 7/10 = 0.7.

2 hundredths = 2/100 = 0.02.

0.7 + 0.02 = 0.72.

72 hundredths = 7 tenths + 2 hundredths.

fraction form = 72/100.

decimal form = 0.72.

unit form = 720.

d. \(\frac{}{}\) = 0.80

__8___ tenths

Answer:

8 hundredths = 0 tenths + 8 hundredths.

fraction form = 8/100.

decimal form = 0.08.

unit form = 800.

Explanation:

In the above-given question,

given that,

0 tenths = 0/10 = 0.

8 hundredths = 8/100 = 0.08.

0 + 0.08 = 0.08.

8 hundredths = 0 tenths + 8 hundredths.

fraction form = 8/100.

decimal form = 0.08.

unit form = 800.

e. \(\frac{}{}\) = 0. __72___

7 tenths 2 hundredths

Answer:

72 hundredths = 7 tenths + 2 hundredths.

fraction form = 72/100.

decimal form = 0.72.

unit form = 700.

Explanation:

In the above-given question,

given that,

7 tenths = 7/10 = 0.7.

2 hundredths = 2/100 = 0.02.

0.7 + 0.02 = 0.72.

72 hundredths = 7 tenths + 2 hundredths.

fraction form = 72/100.

decimal form = 0.72.

unit form = 700.

f. \(\frac{}{}\) = 0. __80____

80 hundredths

Answer:

80 hundredths = 8 tenths + 0 hundredths.

fraction form = 8/10.

decimal form = 0.8.

unit form = 80.

Explanation:

In the above-given question,

given that,

8 tenths = 8/10 = 0.8.

0 hundredths = 0/100 = 0.

0.8 + 0 = 0.8.

80 hundredths = 8 tenths + 0 hundredths.

fraction form = 8/10.

decimal form = 0.8.

unit form = 80.

## Eureka Math Grade 4 Module 6 Lesson 5 Exit Ticket Answer Key

Use both tenths and hundredths place value disks to represent each fraction. Write the equivalent decimal, and fill in the blanks to represent each in unit form.

Question 1.

\(\frac{7}{100}\) = 0._07____

__7_ hundredths

Answer:

7 hundredths = 0 tenths + 7 hundredths.

fraction form = 7/100.

decimal form = 0.07.

unit form = 700.

Explanation:

In the above-given question,

given that,

0 tenths = 0/10 = 0.

7 hundredths = 7/100 = 0.07.

0 + 0.07 = 0.07.

7 hundredths = 0 tenths + 7 hundredths.

fraction form = 7/100.

decimal form = 0.07.

unit form = 700.

Question 2.

\(\frac{34}{100}\) = 0.__34___

_3__ tenths _4__ hundredths

Answer:

34 hundredths = 3 tenths + 4 hundredths.

fraction form = 34/100.

decimal form = 0.34.

unit form = 340.

Explanation:

In the above-given question,

given that,

3 tenths = 3/10 = 0.3.

4 hundredths = 4/100 = 0.04.

0.3 + 0.04 = 0.04.

34 hundredths = 3 tenths + 4 hundredths.

fraction form = 34/100.

decimal form = 0.34.

unit form = 340.

### Eureka Math Grade 4 Module 6 Lesson 5 Homework Answer Key

Question 1.

Find the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.

Answer:

4 x 10 = 40.

10 x 10 = 100.

Explanation:

In the above-given question,

given that,

4 x 10 = 40.

10 x 10 = 100.

4 x 10/ 10 x 10.

40/100 = 0.4.

Answer:

60 / 10 = 6.

100 / 10 = 10.

Explanation:

In the above-given question,

given that,

60 / 10 = 6.

100 / 10 = 10.

60 / 10/ 100 / 10.

6/10 = 0.6.

Question 2.

Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.

a. 36 hundredths = ___3__ tenths + __6__ hundredths

Decimal form: ___0.36______

Fraction form: ___36/100______

Answer:

36 hundredths = 3 tenths + 6 hundredths.

fraction form = 36/100.

decimal form = 0.36.

Explanation:

In the above-given question,

given that,

3 tenths = 3/10 = 0.3.

6 hundredths = 6/100 = 0.06.

0.3 + 0.06 = 0.36.

36 hundredths = 3 tenths + 6 hundredths.

fraction form = 36/100.

decimal form = 0.36.

b. 82 hundredths = __8__ tenths + _2___ hundredths

Decimal form: ____0.82_____

Fraction form: __82/100_______

Answer:

82 hundredths = 8 tenths + 2 hundredths.

fraction form = 82/100.

decimal form = 0.82.

Explanation:

In the above-given question,

given that,

8 tenths = 8/10 = 0.8.

2 hundredths = 2/100 = 0.02.

0.8 + 0.02 = 0.82.

82 hundredths = 8 tenths + 2 hundredths.

fraction form = 82/100.

decimal form = 0.82.

Question 3.

Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.

a.

b.

__24__ hundredths = __2___ tenths + __4___ hundredths

Answer:

24 hundredths = 2 tenths + 4 hundredths.

fraction form = 24/100.

decimal form = 0.24.

Explanation:

In the above-given question,

given that,

2 tenths = 2/10 = 0.2.

4 hundredths = 4/100 = 0.04.

0.2 + 0.04 = 0.24.

24 hundredths = 2 tenths + 4 hundredths.

fraction form = 24/100.

decimal form = 0.24.

Question 4.

Use both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.

a. \(\frac{4}{100}\) = 0. _04____

__4___ hundredths

Answer:

4 hundredths = 0 tenths + 4 hundredths.

fraction form = 4/100.

decimal form = 0.04.

Explanation:

In the above-given question,

given that,

0 tenths = 0/10 = 0.

4 hundredths = 4/100 = 0.04.

0 + 0.04 = 0.04.

4 hundredths = 0 tenths + 4 hundredths.

fraction form = 4/100.

decimal form = 0.04.

b. \(\frac{13}{100}\) = 0. _13____

___1__tenth ___3__ hundredths

Answer:

13 hundredths = 1 tenths + 3 hundredths.

fraction form = 13/100.

decimal form = 0.13.

Explanation:

In the above-given question,

given that,

1 tenths = 1/10 = 0.1.

3 hundredths = 3/100 = 0.03.

0.1 + 0.03 = 0.13.

13 hundredths = 1 tenths + 3 hundredths.

fraction form = 13/100.

decimal form = 0.13.

c. __41/100___ = 0.41

___41__ hundredths

Answer:

41 hundredths = 4 tenths + 1 hundredths.

fraction form = 41/100.

decimal form = 0.41.

Explanation:

In the above-given question,

given that,

4 tenths = 4/10 = 0.4.

1 hundredths = 1/100 = 0.01.

0.4 + 0.01 = 0.41.

41 hundredths = 4 tenths + 1 hundredths.

fraction form = 41/100.

decimal form = 0.41.

d. \(\frac{}{}\) = 0.90

__9___ tenths

Answer:

90 hundredths = 9 tenths + 0 hundredths.

fraction form = 90/100.

decimal form = 0.90.

Explanation:

In the above-given question,

given that,

9 tenths = 9/10 = 0.9.

0 hundredths = 0/100 = 0.

0.9 + 0 = 0.9.

90 hundredths = 9 tenths + 0 hundredths.

fraction form = 90/100.

decimal form = 0.90.

e. \(\frac{}{}\) = 0. __63___

6 tenths 3 hundredths

Answer:

63 hundredths = 6 tenths + 3 hundredths.

fraction form = 63/100.

decimal form = 0.63.

Explanation:

In the above-given question,

given that,

6 tenths = 6/10 = 0.6.

3 hundredths = 3/100 = 0.03.

0.6 + 0.03 = 0.63.

63 hundredths = 6 tenths + 3 hundredths.

fraction form = 63/100.

decimal form = 0.63.

f. \(\frac{1}{2}\) = 0. _90___

90 hundredths

Answer:

90 hundredths = 9 tenths + 0 hundredths.

fraction form = 90/100.

decimal form = 0.90.

Explanation:

In the above-given question,

given that,

9 tenths = 9/10 = 0.9.

0 hundredths = 0/100 = 0.

0.9 + 0 = 0.9.

90 hundredths = 9 tenths + 0 hundredths.

fraction form = 90/100.

decimal form = 0.90.