## Engage NY Eureka Math 5th Grade Module 4 Lesson 29 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 29 Problem Set Answer Key

Question 1.
Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you.

Example: 2 ÷ 0.1 = 2 ÷ $$\frac{1}{10}$$ = 20
There are 10 tenths in 1 whole.
There are 20 tenths in 2 wholes.

a. 5 ÷ 0.1
There are ____ tenths in 1 whole.
There are ____ tenths in 5 wholes.

There are 10 tenths in 1 whole.
There are 50 tenths in 5 wholes.

Explanation:
Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

b. 8 ÷ 0.1

There are ____ tenths in 1 whole.
There are ____ tenths in 8 wholes.

There are 10 tenths in 1 whole.
There are 8 tenths in 5 wholes.

Explanation:
Given that 8 ÷ 0.1 which is 80. In that, there are 10 tenths in 1 whole and there are 80 tenths in 8 wholes.

c. 5.2 ÷ 0.1

There are tenths in 5 wholes.
There are ____ tenths in 2 tenths.
There are ____ tenths in 5.2.

There are 2 tenths in 2 tenths.
There are 52 tenths in 5.2.

Explanation:
Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

d. 8.7 ÷ 0.1
There are ____ tenths in 8 wholes.
There are ____ tenths in 7 tenths.
There are ____ tenths in 8.7.

There are 80 tenths in 8 wholes.
There are 7 tenths in 7 tenths.
There are 87 tenths in 8.7.

Explanation:
Given that 8.7 ÷ 0.1 which is 87. In that, there are 80 tenths in 8 whole and there are 7 tenths in 7 tenths and there are 87 tenths in 8.7.

e. 5 ÷ 0.01
There are 100 hundredths in 1 whole.
There are 500 hundredths in 5 wholes.

There are ____ hundredths in 1 whole.
There are ____ hundredths in 5 wholes.

Explanation:
Given that 5 ÷ 0.01 which is 500. In that, there are 100 hundredths in 1 whole and there are 500 hundredths in 5 wholes.

f. 8 ÷ 0.01
There are ____ hundredths in 1 whole.
There are ____ hundredths in 8 wholes.

There are 100 hundredths in 1 whole.
There are 800 hundredths in 8 wholes.

Explanation:
Given that 8 ÷ 0.01 which is 800. In that, there are 100 hundredths in 1 whole and there are 800 hundredths in 8 wholes.

g. 5.2 ÷ 0.01
There are ____ hundredths in 5 wholes.
There are ____ hundredths in 2 tenths.
There are ____ hundredths in 5.2.

There are 500 hundredths in 1 whole.
There are 20 hundredths in 5 tenths.
There are 520 hundredths in 5.2.

Explanation:
Given that 5.2 ÷ 0.01 which is 520. In that, there are 500 hundredths in 1 whole and there are 20 hundredths in 5 tenths and there are 520 hundredths in 5.2.

h. 8.7 ÷ 0.01
There are ____ hundredths in 8 wholes.
There are ____ hundredths in 7 tenths.
There are ____ hundredths in 8.7.

There are 800 hundredths in 8 whole.
There are 70 hundredths in 7 tenths.
There are 870 hundredths in 8.7.

Explanation:
Given that 8.7 ÷ 0.01 which is 870. In that, there are 800 hundredths in 8 whole and there are 70 hundredths in 7 tenths and there are 870 hundredths in 8.7.

Question 2.
Divide.
a. 6 ÷ 0.1

6 ÷ 0.1 = 60.

Explanation:
The division of 6 ÷ 0.1 is 60.

b. 18 ÷ 0.1

18 ÷ 0.1 = 180.

Explanation:
The division of 18 ÷ 0.1 is 180.

c. 6 ÷ 0.01

6 ÷ 0.01 = 600.

Explanation:
The division of 6 ÷ 0.01 is 600.

d. 1.7 ÷ 0.1

1.7 ÷ 0.1 = 17.

Explanation:
The division of 1.7 ÷ 0.1 is 17.

e. 31 ÷ 0.01

31 ÷ 0.01 = 3,100.

Explanation:
The division of 31 ÷ 0.01 is 3,100.

f. 11 ÷ 0.01

11 ÷ 0.01 = 1,100.

Explanation:
The division of 11 ÷ 0.01 is 1,100.

g. 125 ÷ 0.1

125 ÷ 0.1 = 1,250.

Explanation:
The division of 125 ÷ 0.1 is 1,250.

h. 3.74 ÷ 0.01

3.74 ÷ 0.01 = 374.

Explanation:
The division of 3.74 ÷ 0.01 is 374.

i. 12.5 ÷ 0.01

12.5 ÷ 0.01 = 1,250.

Explanation:
The division of 12.5 ÷ 0.01 is 1,250.

Question 3.
Yung bought $4.60 worth of bubble gum. Each piece of gum cost$0.10. How many pieces of bubble gum did Yung buy?

Here, Yung bought $4.60 worth of bubble gum, and each piece of gum cost$0.10. So the number of pieces of bubble gum did Yung bought is $4.60 ÷$0.10 = $46. So Yung bought 46 pieces of gum. Question 4. Cheryl solved a problem: 84 ÷ 0.01 = 8,400. Jane said, “Your answer is wrong because when you divide, the quotient is always smaller than the whole amount you start with, for example, 6 ÷ 2 = 3 and 100 ÷ 4 = 25.” Who is correct? Explain your thinking. Answer: Some examples are, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840. Explanation: Cheryl is correct and Jane is correct only some of the time and Cheryl can help Jane understand by showing some examples like, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840. Question 5. The U.S. Mint sells 2 ounces of American Eagle gold coins to a collector. Each coin weighs one-tenth of an ounce. How many gold coins were sold to the collector? Answer: The number of gold coins was sold to the collector is 20 gold coins. Explanation: Here, U.S. Mint sells 2 ounces of American Eagle gold coins to a collector and each coin weighs one-tenth of an ounce, so the number of gold coins were sold to the collector is 2 ÷ 1/10 which is 2 ÷ 0.1 = 20 gold coins. ### Eureka Math Grade 5 Module 4 Lesson 29 Exit Ticket Answer Key Question 1. 8.3 is equal to _______ tenths _______ hundredths Answer: 83 tenths 830 hundredths. Explanation: Given that the number is 8.3 which is equal to 83 tenths and 830 hundred. Question 2. 28 is equal to _______ hundredths _______ tenths Answer: 2800 tenths 830 hundredths. Explanation: Given that the number is 8.3 which is equal to 83 tenths and 830 hundred. Question 3. 15.09 ÷ 0.01 = _______ Answer: 15.09 ÷ 0.01 = 1,509. Explanation: Given that the equation is 15.09 ÷ 0.01 which is equal to 1,509. Question 4. 267.4 ÷ $$\frac{1}{10}$$ = _______ Answer: 267.4 ÷ $$\frac{1}{10}$$ = 2,674 Explanation: Given that the equation is 267.4 ÷ $$\frac{1}{10}$$ which is equal to 2,674. Question 5. 632.98 ÷ $$\frac{1}{100}$$ = _______ Answer: 632.98 ÷ $$\frac{1}{100}$$ = 63,298 Explanation: Given that the equation is 632.98 ÷ $$\frac{1}{100}$$ which is equal to 63,298. ### Eureka Math Grade 5 Module 4 Lesson 29 Homework Answer Key Question 1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you. a. 9 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 9 wholes. Answer: There are 10 tenths in 1 whole. There are 90 tenths in 9 wholes. Explanation: Given that 9 ÷ 0.1 which is 90. In that, there are 10 tenths in 1 whole and there are 90 tenths in 9 wholes. b. 6 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 6 wholes. Answer: There are 10 tenths in 1 whole. There are 60 tenths in 6 wholes. Explanation: Given that 6 ÷ 0.1 which is 60. In that, there are 10 tenths in 1 whole and there are 60 tenths in 6 wholes. c. 3.6 ÷ 0.1 There are ______ tenths in 3 wholes. There are ______ tenths in 6 tenths. There are ______ tenths in 3.6. Answer: There are 30 tenths in 3 wholes. There are 6 tenths in 6 tenths. There are 36 tenths in 3.6. Explanation: Given that 3.6 ÷ 0.1 which is 36. In that, there are 30 tenths in 3 wholes and there are 6 tenths in 6 tenths and there are 36 tenths in 3.6. d. 12.8 ÷ 0.1 There are ______ tenths in 12 wholes. There are ______ tenths in 8 tenths. There are ______ tenths in 12.8. Answer: There are 120 tenths in 12 wholes. There are 8 tenths in 8 tenths. There are 128 tenths in 12.8. Explanation: Given that 12.8 ÷ 0.1 which is 128. In that, there are 120 tenths in 12 wholes and there are 8 tenths in 8 tenths and there are 128 tenths in 12.8. e. 3 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 3 wholes. Answer: There are 100 tenths in 1 whole. There are 300 tenths in 3 wholes. Explanation: Given that 3 ÷ 0.1 which is 30. In that, there are 100 tenths in 1 whole and there are 300 tenths in 3 wholes. f. 7 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 7 wholes. Answer: There are 100 tenths in 1 whole. There are 700 tenths in 7 wholes. Explanation: Given that 7 ÷ 0.1 which is 70. In that, there are 100 tenths in 1 whole and there are 700 tenths in 7 wholes. g. 4.7 ÷ 0.01 There are ______ tenths in 4 wholes. There are ______ tenths in 7 tenths. There are ______ tenths in 4.7. Answer: There are 400 tenths in 4 wholes. There are 70 tenths in 7 tenths. There are 470 tenths in 4.7. Explanation: Given that 4.7 ÷ 0.01 which is 470. In that, there are 400 tenths in 4 wholes and there are 70 tenths in 7 tenths and there are 470 tenths in 4.7. h. 11.3 ÷ 0.01 There are ______ tenths in 11 wholes. There are ______ tenths in 3 tenths. There are ______ tenths in 11.3. Answer: There are 1100 tenths in 11 wholes. There are 30 tenths in 3 tenths. There are 1130 tenths in 11.3. Explanation: Given that 11.3 ÷ 0.01 which is 1,130. In that, there are 1100 tenths in 11 wholes and there are 30 tenths in 3 tenths and there are 1130 tenths in 11.3. Question 2. Divide. a. 2 ÷ 0.1 Answer: 2 ÷ 0.1 = 20. Explanation: The division of 2 ÷ 0.1 is 20. b. 23 ÷ 0.1 Answer: 23 ÷ 0.1 = 230. Explanation: The division of 23 ÷ 0.1 is 230. c. 5 ÷ 0.01 Answer: 5 ÷ 0.01 = 500. Explanation: The division of 5 ÷ 0.01 is 500. d. 7.2 ÷ 0.1 Answer: 7.2 ÷ 0.1 = 72. Explanation: The division of 7.2 ÷ 0.1 is 72. e. 51 ÷ 0.01 Answer: 51 ÷ 0.01 = 5,100. Explanation: The division of 51 ÷ 0.01 is 5,100. f. 31 ÷ 0.1 Answer: 31 ÷ 0.1 = 310. Explanation: The division of 31 ÷ 0.1 is 310. g. 231 ÷ 0.1 Answer: 231 ÷ 0.1 = 2,310. Explanation: The division of 231 ÷ 0.1 is 2,310. h. 4.37 ÷ 0.01 Answer: 4.37 ÷ 0.01 = 437. Explanation: The division of 4.37 ÷ 0.01 is 437. i. 24.5 ÷ 0.01 Answer: 24.5 ÷ 0.01 = 2,450. Explanation: The division of 24.5 ÷ 0.01 is 2,450. Question 3. Giovanna is charged$0.01 for each text message she sends. Last month, her cell phone bill included a $12.60 charge for text messages. How many text messages did Giovanna send? Answer: The number of text messages did Giovanna send is 1,260. Explanation: Here, Giovanna is charged$0.01 for each text message she sends, and in last month, her cell phone bill included a $12.60 charge for text messages. So the number of text messages did Giovanna send is$12.60 ÷ $0.01 which is 1,260. Question 4. Geraldine solved a problem: 68.5 ÷ 0.01 = 6,850. Ralph said, “This is wrong because a quotient can’t be greater than the whole you start with. For example, 8 ÷ 2 = 4 and 250 ÷ 5 = 50.” Who is correct? Explain your thinking. Answer: Geraldine was correct. Explanation: Geraldine was correct. As quotient can be greater than the whole start. So Geraldine was correct. Question 5. The price for an ounce of gold on September 23, 2013, was$1,326.40. A group of 10 friends decide to equally share the cost of 1 ounce of gold. How much money will each friend pay?
Each friend pays $1326.40 ÷ 10 which is$132.64.
Here, the price for an ounce of gold on September 23, 2013, was $1,326.40 and a group of 10 friends decide to equally share the cost of 1 ounce of gold. So each friend pays$1326.40 ÷ 10 which is \$132.64.