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Multiplying and dividing by powers of 10 - Printable Math Worksheets 5th Grade - Wayground

Multiplying and dividing by powers of 10

Megan Moran

Created by Megan Moran

17 questions

5th Grade

Math

Updated Oct 2026

This Grade 5 mathematics worksheet gives students focused practice multiplying and dividing decimals by powers of 10, including 10, 100, and 1,000. Its 17 items combine multiple-choice questions with fill-in-the-blank practice, asking students to determine products and quotients, identify the correct power of 10, and select equivalent expressions such as .85 × 10 = 8.5. Students build fluency with place-value shifts while working with values such as 9.55 × 100, 6.3 ÷ 100, and 14.08 ÷ 10. The varied answer choices also help teachers identify whether a student moved the decimal the wrong number of places, used the wrong operation, or confused a power of 10 with its base number. This is a free printable worksheet with a complete answer key for independent practice, guided instruction, homework, or a quick Grade 5 mathematics check.

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Multiplying and dividing by powers of 10

Total questions: 17

Name
Class
Date
1.

2.46×102.46\times10  

(a)  

2.

2.46×1002.46\times100  

(a)  

3.

9.55 × 100 =

a)

955

b)

9.55

c)

95.5

d)

9550

e)

0955

4.

6.3 ÷ 100

a)

0.063

b)

0.0063

c)

0.63

d)

0.00063

e)

0.6300

5.
753 ÷ 100
a)
0.753
b)
753
c)
75.3
d)
7.53
6.
14.08  ÷ 10=
a)
1.408
b)
140.8
c)
14.08
d)
1.480
7.

36.6 x 102

a)

36.600

b)

3,660

c)

0.366

d)

366

8.

10 x 3.25 =

a)

325

b)

32.5

c)

3.25

d)

0.325

9.

36.6 x 102

a)

36.600

b)

3,660

c)

0.366

d)

366

10.

19.45  ÷\div   10210^2  

a)

0.1945

b)

1,945

c)

1.945

d)

19.45

11.

Which expression is equal to 8.5?

a)

85 x 100

b)

85 divided by 102

c)

.85 x 10

d)

850 divided by 10

12.

Fill in the missing power of 10.

34 x ______= 34,000

a)

103

b)

102

c)

104

d)

105

13.

9,475÷1039,475\div10^3  

a)

94.75

b)

9.475

c)

947.5

d)

9,475,000

14.

What is 7.62×1027.62\times10^2  

a)

76.2

b)

762

c)

7620

d)

.762

15.

What is 1000 written in a power of 10

a)

10210^2  

b)

10310^3  

c)

10410^4  

d)

10510^5  

16.

What is 14÷1014\div10  

a)

1.4

b)

.14

c)

140

d)

14.0

17.

What is 5260÷1035260\div10^3  

a)

5.260

b)

52.60

c)

526.0

d)

5260.0

WaygroundAnswer Key

Multiplying and dividing by powers of 10

Total questions: 17

1.
24.6
2.
246
3.
a)

955

4.
a)

0.063

5.
d) 7.53
6.
a) 1.408
7.
b)

3,660

8.
b)

32.5

9.
b)

3,660

10.
a)

0.1945

11.
c)

.85 x 10

12.
a)

103

13.
b)

9.475

14.
b)

762

15.
b)

10310^3  

16.
a)

1.4

17.
a)

5.260

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FAQs

What does the Multiplying and dividing by powers of 10 worksheet cover?

This Grade 5 worksheet practices multiplying and dividing decimals by 10, 100, and 1,000, along with identifying powers of 10 and equivalent expressions. Its 17 items use multiple-choice and fill-in-the-blank formats, requiring students to find values such as 9.55 × 100 = 955 and 6.3 ÷ 100 = 0.063 and to connect those results to place-value changes.

How can I use this worksheet to teach multiplying and dividing decimals by powers of 10?

Introduce the worksheet with a place-value chart and model how multiplying or dividing by 10, 100, or 1,000 changes a decimal’s value. Then solve a few items such as 14.08 ÷ 10 and 34 × 10³ together, asking students to explain both the direction and number of place-value shifts before they complete the remaining multiple-choice and fill-in-the-blank questions.

What mistakes should I watch for when students complete this powers-of-10 worksheet?

Watch for students moving the decimal in the wrong direction, shifting it the wrong number of places, or treating × 10² as multiplication by 10 instead of by 100. Students may also choose answers such as 0.63 instead of 0.063 for 6.3 ÷ 100, or fail to recognize that an equivalent-expression item such as .85 × 10 represents 8.5.

How do I assign and grade this multiplying and dividing by powers of 10 worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for the 17 items. You can grade printable student submissions by scanning their work with the Wayground for Teachers app, or review responses through the digital quiz. The printable option can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or increase the font size so the decimal operations, powers of 10, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its multiple-choice and fill-in-the-blank format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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