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. 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.
Answer:
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____
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.