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State standards

Grade 5FL MA.5.NSO.2.5

Multiplying by 0.1 and 0.01

Multiplying and dividing whole numbers and decimals by 0.1 and 0.01.

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How to help

Multiplying by 0.1 is dividing by 10: each digit moves one place right. Dividing by 0.1 is multiplying by 10: each digit moves one place left. 0.01 moves two places.

Watch for: Thinking × 0.1 makes a number bigger. Moving the point the wrong way for ÷ 0.01. Dropping a needed zero: 3 × 0.01 = 0.03, not 0.3.

At home: Talk about dimes and pennies: 0.1 of a dollar and 0.01 of a dollar. What is 0.1 of $25? Of $2.50?

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · Multiplying by 0.1 and 0.01 · MA.5.NSO.2.5

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Same as

Circle the operation that gives the same answer.

÷ 0.01 is the same as÷ 10× 100× 10÷ 100

× 0.01 is the same as÷ 10÷ 100× 100× 10

× 0.1 is the same as÷ 10× 10÷ 100× 100

÷ 0.1 is the same as× 100× 10÷ 100÷ 10

Multiply

Each place moves right: the number gets smaller.

752 × 0.01 =98.1 × 0.01 =98 × 0.1 =56.7 × 0.1 =25.9 × 0.01 =26.4 × 0.1 =70.9 × 0.1 =82.5 × 0.01 =729 × 0.01 =48.9 × 0.1 =55 × 0.1 =43 × 0.1 =

Divide

Each place moves left: the number gets bigger.

5.2 ÷ 0.01 =45 ÷ 0.1 =0.08 ÷ 0.1 =31 ÷ 0.01 =61 ÷ 0.1 =61 ÷ 0.01 =0.41 ÷ 0.1 =33 ÷ 0.1 =7.1 ÷ 0.01 =

Story time

  1. 1

    A dime is $0.1. Dev has 69 dimes. How many dollars is that?

    dollars
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA5NSO25-SP-FIRST at mathness.app/makerScan to remix or get the key
Grade 5 · Sheet

Luna's Space Adventure

Grade 5 · Multiplying by 0.1 and 0.01 · MA.5.NSO.2.5

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Same as

Circle the operation that gives the same answer.

÷ 0.01 is the same as÷ 10× 100× 10÷ 100

× 0.01 is the same as÷ 10÷ 100× 100× 10

× 0.1 is the same as÷ 10× 10÷ 100× 100

÷ 0.1 is the same as× 100× 10÷ 100÷ 10

Multiply

Each place moves right: the number gets smaller.

752 × 0.01 =7.5298.1 × 0.01 =0.98198 × 0.1 =9.856.7 × 0.1 =5.6725.9 × 0.01 =0.25926.4 × 0.1 =2.6470.9 × 0.1 =7.0982.5 × 0.01 =0.825729 × 0.01 =7.2948.9 × 0.1 =4.8955 × 0.1 =5.543 × 0.1 =4.3

Divide

Each place moves left: the number gets bigger.

5.2 ÷ 0.01 =52045 ÷ 0.1 =4500.08 ÷ 0.1 =0.831 ÷ 0.01 =310061 ÷ 0.1 =61061 ÷ 0.01 =61000.41 ÷ 0.1 =4.133 ÷ 0.1 =3307.1 ÷ 0.01 =710

Story time

  1. 1

    A dime is $0.1. Dev has 69 dimes. How many dollars is that?

    69 × 0.1 = 6.9
    6.9dollars
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA5NSO25-SP-FIRST at mathness.app/makerAnswer keyScan to remix or get the key
Answer key

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Standard

Florida B.E.S.T. MA.5.NSO.2.5 · Multiply and divide decimals by 0.1 and 0.01.

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