## 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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

Answer:

6 ÷ 0.1 = 60.

Explanation:

The division of 6 ÷ 0.1 is 60.

b. 18 ÷ 0.1

Answer:

18 ÷ 0.1 = 180.

Explanation:

The division of 18 ÷ 0.1 is 180.

c. 6 ÷ 0.01

Answer:

6 ÷ 0.01 = 600.

Explanation:

The division of 6 ÷ 0.01 is 600.

d. 1.7 ÷ 0.1

Answer:

1.7 ÷ 0.1 = 17.

Explanation:

The division of 1.7 ÷ 0.1 is 17.

e. 31 ÷ 0.01

Answer:

31 ÷ 0.01 = 3,100.

Explanation:

The division of 31 ÷ 0.01 is 3,100.

f. 11 ÷ 0.01

Answer:

11 ÷ 0.01 = 1,100.

Explanation:

The division of 11 ÷ 0.01 is 1,100.

g. 125 ÷ 0.1

Answer:

125 ÷ 0.1 = 1,250.

Explanation:

The division of 125 ÷ 0.1 is 1,250.

h. 3.74 ÷ 0.01

Answer:

3.74 ÷ 0.01 = 374.

Explanation:

The division of 3.74 ÷ 0.01 is 374.

i. 12.5 ÷ 0.01

Answer:

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?

Answer:

Yung bought 46 pieces of gum.

Explanation:

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?

Answer:

Each friend pays $1326.40 ÷ 10 which is $132.64.

Explanation:

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.