## 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. a. 3  x  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.

a. 50  /  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____ 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____ 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. 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

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

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

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

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

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

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

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

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

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. 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.

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______ 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_______ 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

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

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

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

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

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

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