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

Worksheets for Grade 5

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

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

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?

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

5. 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?

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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.

2. Divide.
   a. 2 ÷ 0.1
   d. 7.2 ÷ 0.1

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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.

• Show Step-by-step Solutions

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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