# Divide by Decimals (Tenths, Hundredths)

Videos, examples, solutions, and lessons to help Grade 5 students learn how to connect division by a unit fraction to division by 1 tenth and 1 hundredth.

### New York State Common Core Math Grade 5, Module 4, Lesson 29

Common Core Standards: 5.OA.1, 5.NBT.7, 5.NF.7

Lesson 29 Problem Set

1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks.
e. 5 ÷ 0.01 =
There are ___ hundredths in 1 whole.
There are ___ hundredths in 5 wholes.

f. 8 ÷ 0.01 =
There are ___ hundredths in 1 whole.
There are ___ 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

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

1. Divide.
d. 1.7 ÷ 0.1
e. 31 ÷ 0.01
g. 125 ÷ 0.1
h. 3.74 ÷ 0.01

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

3. 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 ÷ = .” Who is correct? Explain your thinking.

4. The US Mint sells 2 pounds 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?

Lesson 29 Homework
This video shows how to connect division by unit fractions to division by tenths and hundredths.

1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks.

Example: 4 ÷ 0.1 = 4 ÷ 1/10 = 40
There are 10 tenths in 1 whole.
There are 40 tenths in 4 wholes.

a. 9 ÷ 0.1 =
There are ______ tenths in 1 whole.
There are _______ tenths in 9 wholes.

c. 3.6 ÷ 0.1 =
There are _____ tenths in 3 wholes.
There are _____ tenths in 6 tenths.
There are _______ tenths in 3.6.

e. 3 0.÷ 01 =
There are _____ hundredths in 1 whole.
There are _____ tenths in 3 wholes.

g. 4.7 ÷ 0.01 =
There are _____ hundredths in 4 wholes.
There are ______ hundredths in 7 tenths.
There are _______ hundredths in 4.7.

1. Divide.
a. 2 ÷ 0.1
d. 7.2 ÷ 0.1

Lesson 29 Homework

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.
h. 11.3 ÷ 0.01 =
There are _____ hundredths in 11 wholes.
There are hundredths in 3 tenths.
There are _______ hundredths in 11.3.
2. Divide.
d. 7.2 ÷ 0.1
h. 4.37 ÷ 0.01

3. 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.

Lesson 29 Homework

1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks.

9 ÷ 0.1
There are _____ tenths in 1 whole.
There are _____ tenths in 9 wholes.

3 ÷ 0.01 =
There are ____ hundredths in 1 whole.
There are ____ tenths in 3 wholes.

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