## Engage NY Eureka Math 4th Grade Module 6 Lesson 12 Answer Key

### Eureka Math Grade 4 Module 6 Lesson 12 Problem Set Answer Key

Question 1.
Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in part (a).

a. 1 tenth + 5 hundredths = __15____ hundredths

1 tenth + 5 hundredths = 15 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
5 hundredths = 5/100.
5/100 = 0.05.
0.1 + 0.05 = 0.15.

b. 2 tenths + 1 hundredth = ___21___ hundredths

2 tenths + 1 hundredths = 21 hundredths.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10.
2/10 = 0.2.
1 hundredths = 1/100.
1/100 = 0.01.
0.2 + 0.01 = 0.21.

c. 1 tenth + 12 hundredths = ___22___ hundredths

1 tenth + 12 hundredths = 22 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
12 hundredths = 12/100.
12/100 = 0.12.
0.1 + 0.12 = 0.22.

Question 2.
Solve by converting all addends to hundredths before solving.
a. 1 tenth + 3 hundredths = ____10______ hundredths + 3 hundredths = _____13_____ hundredths
b. 5 tenths + 12 hundredths = _____60_____ hundredths + ___2_______ hundredths = _____62_____ hundredths
c. 7 tenths + 27 hundredths = ____90______ hundredths + _____7_____ hundredths = ____97______hundredths
d. 37 hundredths + 7 tenths = _____100_____ hundredths + _____7_____ hundredths = ___107_______ hundredths

a.1 tenth + 3 hundredths = 13 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
3 hundredths = 3/100.
3/100 = 0.03.
0.1 + 0.03 = 0.13.

b. 5 tenths + 12 hundredths = 62 hundredths.

Explanation:
In the above-given question,
given that,
5 tenths = 5/10.
5/10 = 0.5.
12 hundredths = 12/100.
12/100 = 0.12.
0.5 + 0.12 = 0.62.

c. 7 tenths + 27 hundredths = 97 hundredths.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10.
7/10 = 0.7.
27 hundredths = 27/100.
27/100 = 0.27.
0.7 + 0.27 = 0.97.

d.7 tenths + 37 hundredths = 107 hundredths.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10.
7/10 = 0.7.
37 hundredths = 37/100.
37/100 = 0.37.
0.7 + 0.37 = 0.107.

Question 3.
Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal.
a. $$\frac{2}{10}+\frac{8}{100}$$
b. $$\frac{13}{100}+\frac{4}{10}$$
c. $$\frac{6}{10}+\frac{39}{100}$$
d. $$\frac{70}{100}+\frac{3}{10}$$

b. 0.53.

Explanation:
In the above-given question,
given that,
$$\frac{13}{100}+\frac{4}{10}$$.
13/100 + 4/10.
0.13 + 0.4.
0.53.

a. 0.28.

Explanation:
In the above-given question,
given that,
$$\frac{2}{10}+\frac{8}{100}$$.
2/10 + 8/100.
0.2 + 0.08.
0.28.

c. 0.99.

Explanation:
In the above-given question,
given that,
$$\frac{6}{10}+\frac{39}{100}$$.
6/10 + 39/100.
0.6 + 0.39.
0.99.

d. 0.28.

Explanation:
In the above-given question,
given that,
$$\frac{3}{10}+\frac{70}{100}$$.
3/10 + 70/100.
0.3 + 0.07.
0.37.

Question 4.
a. $$\frac{9}{10}+\frac{42}{100}$$
b. $$\frac{70}{100}+\frac{5}{10}$$
c. $$\frac{68}{100}+\frac{8}{10}$$
d. $$\frac{7}{10}+\frac{8}{1000}$$

a. 0.132.

Explanation:
In the above-given question,
given that,
$$\frac{9}{10}+\frac{42}{100}$$.
9/10 + 42/100.
0.9 + 0.42.
0.132.

b. 0.12.

Explanation:
In the above-given question,
given that,
$$\frac{5}{10}+\frac{70}{100}$$.
5/10 + 70/100.
0.5 + 0.70.
0.12.

c. 0.28.

Explanation:
In the above-given question,
given that,
$$\frac{8}{10}+\frac{68}{100}$$.
8/10 + 68/100.
0.8 + 0.68.
0.148.

a. 0.708.

Explanation:
In the above-given question,
given that,
$$\frac{7}{10}+\frac{8}{1000}$$.
7/10 + 8/1000.
0.7 + 0.008.
0.708.

Question 5.
Beaker A has $$\frac{63}{100}$$ liter of iodine. It is filled the rest of the way with water up to 1 liter. Beaker B has $$\frac{4}{10}$$ liter of iodine. It is filled the rest of the way with water up to 1 liter. If both beakers are emptied into a large beaker, how much iodine does the large beaker contain?

The amount of iodine does the large beaker contains = 0.63 liters.

Explanation:
In the above-given question,
given that,
Beaker A has 63/100 liters of iodine = 0.63.
Beaker B has 4/10 liters of iodine = 0.4.
The large beaker contains = 0.63 liters.

### Eureka Math Grade 4 Module 6 Lesson 12 Exit Ticket Answer Key

Question 1.
Complete the number sentence by expressing each part using hundredths. Use the place value chart to model.

1 tenth + 9 hundredths = 19 hundredths

1 tenth + 9 hundredths = 19 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
9 hundredths = 9/100.
9/100 = 0.09.
0.1 + 0.09 = 0.19.

Question 2.
$$\frac{4}{10}+\frac{73}{100}$$

c. 0.113.

Explanation:
In the above-given question,
given that,
$$\frac{4}{10}+\frac{73}{100}$$.
4/10 + 73/100.
0.4 + 0.73.
0.113.

Question 1.
Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in part (a).

a. 1 tenth + 8 hundredths = __18___ hundredths

1 tenth + 8 hundredths = 18 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
8 hundredths = 8/100.
8/100 = 0.08.
0.1 + 0.08 = 0.18.

b. 2 tenths + 3 hundredths = __23___ hundredths

2 tenths + 3 hundredths = 23 hundredths.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10.
2/10 = 0.2.
3 hundredths = 3/100.
3/100 = 0.03.
0.2 + 0.03 = 0.23.

c. 1 tenth + 14 hundredths = __24___ hundredths

1 tenth + 14 hundredths = 24 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
14 hundredths = 14/100.
14/100 = 0.14.
0.1 + 0.14 = 0.24.

Question 2.
Solve by converting all addends to hundredths before solving.
a. 1 tenth + 2 hundredths = ___10___ hundredths + 2 hundredths = ___12___ hundredths
b. 4 tenths + 11 hundredths = __50____ hundredths + ___1___ hundredths = ___51___ hundredths
c. 8 tenths + 25 hundredths = __100____ hundredths + __5____ hundredths = _105_____ hundredths
d. 43 hundredths + 6 tenths = ___100___ hundredths + ___3___ hundredths = ___103___ hundredths

a.1 tenth + 2 hundredths = 12 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
2 hundredths = 2/100.
2/100 = 0.02.
0.1 + 0.02 = 0.12.

b.4 tenths + 11 hundredths = 51 hundredths.

Explanation:
In the above-given question,
given that,
4 tenths = 4/10.
4/10 = 0.4.
11 hundredths = 11/100.
11/100 = 0.11.
0.4 + 0.11 = 0.51.

c.8 tenths + 25 hundredths = 105 hundredths.

Explanation:
In the above-given question,
given that,
8 tenths = 8/10.
8/10 = 0.8.
25 hundredths = 25/100.
25/100 = 0.25.
0.8 + 0.25 = 0.105.

d.6 tenths + 43 hundredths = 103 hundredths.

Explanation:
In the above-given question,
given that,
6 tenths = 6/10.
6/10 = 0.6.
43 hundredths = 43/100.
43/100 = 0.43.
0.6 + 0.43 = 0.103.

Question 3.
Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal.
a. $$\frac{3}{10}+\frac{7}{100}$$
b. $$\frac{16}{100}+\frac{5}{10}$$
c. $$\frac{5}{10}+\frac{40}{100}$$
d. $$\frac{20}{100}+\frac{8}{10}$$

a. 0.37.

Explanation:
In the above-given question,
given that,
$$\frac{3}{10}+\frac{7}{100}$$.
3/10 + 7/100.
0.3 + 0.07.
0.37.

b. 0.66.

Explanation:
In the above-given question,
given that,
$$\frac{5}{10}+\frac{16}{100}$$.
5/10 + 16/100.
0.5 + 0.16.
0.66.

c. 0.9.

Explanation:
In the above-given question,
given that,
$$\frac{5}{10}+\frac{40}{100}$$.
5/10 + 40/100.
0.5 + 0.4.
0.9.

d. 0.10.

Explanation:
In the above-given question,
given that,
$$\frac{8}{10}+\frac{20}{100}$$.
8/10 + 20/100.
0.8 + 0.2.
0.10.

Question 4.
a. $$\frac{5}{10}+\frac{53}{100}$$
b. $$\frac{27}{100}+\frac{8}{10}$$
c. $$\frac{4}{10}+\frac{78}{100}$$
d. $$\frac{98}{100}+\frac{7}{10}$$

a. 0.103.

Explanation:
In the above-given question,
given that,
$$\frac{5}{10}+\frac{53}{100}$$.
5/10 + 53/100.
0.5 + 0.53.
0.103.

a. 0.107.

Explanation:
In the above-given question,
given that,
$$\frac{8}{10}+\frac{27}{100}$$.
8/10 + 27/100.
0.8 + 0.27.
0.107.

c. 0.118.

Explanation:
In the above-given question,
given that,
$$\frac{4}{10}+\frac{78}{100}$$.
4/10 + 78/100.
0.4 + 0.78.
0.118.

d. 0.168.

Explanation:
In the above-given question,
given that,
$$\frac{7}{10}+\frac{98}{100}$$.
7/10 + 98/100.
0.7 + 0.98.
0.168.

Question 5.
Cameron measured $$\frac{65}{100}$$ inch of rainwater on the first day of April. On the second day of April, he measured $$\frac{83}{100}$$ inch of rainwater. How many total inches of rainwater did Cameron measure on the first two days of April?