Eureka Math Grade 4 Module 6 Lesson 12 Answer Key

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).
Engage NY Math Grade 4 Module 6 Lesson 12 Problem Set Answer Key 1
a. 1 tenth + 5 hundredths = __15____ hundredths

Answer:
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.

Engage NY Math Grade 4 Module 6 Lesson 12 Problem Set Answer Key 2
b. 2 tenths + 1 hundredth = ___21___ hundredths

Answer:
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.
Eureka-Math-Grade-4-Module-6-Lesson-12-Answer Key-1

Engage NY Math Grade 4 Module 6 Lesson 12 Problem Set Answer Key 3
c. 1 tenth + 12 hundredths = ___22___ hundredths

Answer:
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.
Eureka-Math-Grade-4-Module-6-Lesson-12-Answer Key-2

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

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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. \(\frac{70}{100}+\frac{3}{10}\)

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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.
Solve. Write your answer as a decimal.
a. \(\frac{9}{10}+\frac{42}{100}\)
b. \(\frac{70}{100}+\frac{5}{10}\)
c. \(\frac{68}{100}+\frac{8}{10}\)
d. \(\frac{7}{10}+\frac{8}{1000}\)

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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?

Answer:
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.
Eureka Math 4th Grade Module 6 Lesson 12 Exit Ticket Answer Key 1
1 tenth + 9 hundredths = 19 hundredths

Answer:
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.
Eureka-Math-Grade-4-Module-6-Lesson-12-Answer Key-3

Question 2.
Find the sum. Write your answer as a decimal.
\(\frac{4}{10}+\frac{73}{100}\)

Answer:
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.

Eureka Math Grade 4 Module 6 Lesson 12 Homework 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).
Eureka Math Grade 4 Module 6 Lesson 12 Homework Answer Key 1
a. 1 tenth + 8 hundredths = __18___ hundredths

Answer:
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.

Eureka Math Grade 4 Module 6 Lesson 12 Homework Answer Key 2
b. 2 tenths + 3 hundredths = __23___ hundredths

Answer:
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.
Eureka-Math-Grade-4-Module-6-Lesson-12-Answer Key-4

Eureka Math Grade 4 Module 6 Lesson 12 Homework Answer Key 3
c. 1 tenth + 14 hundredths = __24___ hundredths

Answer:
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.
Eureka-Math-Grade-4-Module-6-Lesson-12-Answer Key-5

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

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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. \(\frac{20}{100}+\frac{8}{10}\)

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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.
Solve. Write your answer as a decimal.
a. \(\frac{5}{10}+\frac{53}{100}\)
b. \(\frac{27}{100}+\frac{8}{10}\)
c. \(\frac{4}{10}+\frac{78}{100}\)
d. \(\frac{98}{100}+\frac{7}{10}\)

Answer:
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.

Answer:
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.

Answer:
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.

Answer:
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?

Answer:
The Cameron measures on the first two days of April = 0.138 inches.

Explanation:
In the above-given question,
given that,
Cameron measured 65/100 = 0.65 inches of rainwater on the first day of April.
Cameron measured 83/100 = 0.83 inches of rainwater on the second day of April.
0.65 + 0.83.
0.138 inches.

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