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Multiply and Divide by Powers of 10 - Printable Math Worksheets 5th Grade - Wayground

Multiply and Divide by Powers of 10

AMY SOMMERS

Created by AMY SOMMERS

19 questions

5th Grade

Math

Updated Oct 2026

Multiply and Divide by Powers of 10 is a Grade 5 mathematics worksheet focused on multiplying and dividing whole numbers and decimals by 10, 100, and 1,000. Across 19 multiple-choice questions, students select the correct product or quotient, working with values such as 7.129 × 100, 2.97 ÷ 1,000, and 0.1804 ÷ 1,000. The set includes both operations and numbers with varying digits after the decimal, requiring careful attention to place value. This free printable worksheet helps students recognize how powers of 10 affect the position of digits and the size of a number. It is useful for independent practice, review, or a quick check of decimal computation accuracy. The worksheet includes a complete answer key, making it straightforward for teachers to identify whether students are applying the correct direction and number of place-value shifts.

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Multiply and Divide by Powers of 10

Total questions: 19

Name
Class
Date
1.
6.3 ÷ 100 =
a)
6.3
b)
63
c)
0.63
d)
0.063
2.
7.129 × 100 = 
a)
712.9
b)
71.29
c)
0.7129
d)
0.07129
3.
2.97 ÷ 1,000 = 
a)
29.7
b)
0.00297
c)
0.0297
d)
0.297
4.
2.3 × 1,000 = 
a)
23
b)
2,300
c)
230
d)
23,000
5.
0.193 ÷ 10 = 
a)
1.93
b)
19.3
c)
0.0193
d)
0.00193
6.
1.175 ÷ 10 = 
a)
0.1175
b)
0.01175
c)
11.75
d)
117.5
7.
8.84 × 10 = 
a)
0.884
b)
0.0084
c)
884
d)
88.4
8.
8.425 × 1,000 = 
a)
842.5
b)
84.25
c)
0.8425
d)
8,425
9.
0.1804 ÷ 1,000 = 
a)
0.01804
b)
1.804
c)
0.0001804
d)
0.001804
10.
49.821 x 100 = 
a)
498.21
b)
49.821
c)
4.9821
d)
4982.1
11.
98.6 ÷ 1,000
a)
0.0986
b)
0.986
c)
0.00986
d)
9,860
12.
753 ÷ 100
a)
0.753
b)
753
c)
75.3
d)
7.53
13.
0.077 x 100
a)
7.7
b)
77
c)
0.00077
d)
770
14.
41 ÷ 100
a)
4,100
b)
41
c)
0.41
d)
0.041
15.
7.5 x 1,000
a)
75,000
b)
7,500
c)
0.0075
d)
750
16.
23.3 x 1,000 = 
a)
23,300
b)
2,330
c)
233
d)
230
17.
156.34 x 10 = 
a)
1,563.4
b)
15,634
c)
15.634
18.
2.7 x 10
a)
270
b)
0.27
c)
27
d)
0.027
19.
0.4 ÷ 10
a)
4.0
b)
40
c)
0.40
d)
0.040
WaygroundAnswer Key

Multiply and Divide by Powers of 10

Total questions: 19

1.
d) 0.063
2.
a) 712.9
3.
b) 0.00297
4.
b) 2,300
5.
c) 0.0193
6.
a) 0.1175
7.
d) 88.4
8.
d) 8,425
9.
c) 0.0001804
10.
d) 4982.1
11.
a) 0.0986
12.
d) 7.53
13.
a) 7.7
14.
c) 0.41
15.
b) 7,500
16.
a) 23,300
17.
a) 1,563.4
18.
c) 27
19.
d) 0.040

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FAQs

What does the Multiply and Divide by Powers of 10 worksheet cover?

This Grade 5 worksheet uses 19 multiple-choice questions to practise multiplying and dividing whole numbers and decimals by 10, 100, and 1,000. By choosing products and quotients such as 8.425 × 1,000 and 98.6 ÷ 1,000, students apply place-value shifts and check how powers of 10 change a number.

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

Introduce the worksheet by modeling one multiplication and one division example, such as 7.129 × 100 and 2.97 ÷ 1,000, and have students describe how each digit’s place changes. Then ask students to solve the multiple-choice items and explain why the correct option has the decimal in that position, rather than relying only on a rule about moving the decimal point.

What mistakes should I watch for on this powers-of-10 worksheet?

Students may move the decimal in the wrong direction, shift it the wrong number of places, or confuse multiplication by 100 with multiplication by 1,000. Watch especially for errors with values less than 1, such as 0.193 ÷ 10 and 0.1804 ÷ 1,000, where leading zeros are important to the quotient.

How do I assign and grade this Multiply and Divide by Powers of 10 worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and both versions include a complete answer key for the 19 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through Wayground for online completion and grading.

How can I differentiate this worksheet for my students?

For the decimal multiplication and division items on this worksheet, use Advanced Settings to adjust font spacing and font size so the expressions and answer choices are easier to track. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support students’ access to the place-value practice.

Where can I find more worksheets like this on Wayground?

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

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