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Multiply by powers of ten - Printable Mathematics Worksheets grade 5 - Wayground

Multiply by powers of ten

21 questions

5th - 5th Grade

Mathematics

This Grade 5 mathematics worksheet helps students multiply whole numbers and decimals by powers of ten, including 1, 10, 100, 1,000, 10², 10³, and 10⁵. The 21-item set combines fill-in-the-blank questions, multiple-choice questions, and a multiple-select question to practise shifting digits according to place value, multiplying by 0.01, recognizing equivalent expressions, and interpreting “10 times as much.” Use it for guided practice, independent work, homework, or a quick check of students’ fluency with powers-of-ten multiplication. The varied formats require students to calculate products, distinguish among place-value-based distractors, and identify more than one expression equal to a given decimal. This free printable worksheet includes a complete answer key for efficient review and grading.

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Worksheets

Multiply by powers of ten

Total questions: 21

Name
Class
Date
1.

9 x 1,000

(a)  

2.

82 x 100

a)

8,200

b)

820

c)

8.2

d)

82,000

3.

724 x 10

(a)  

4.

7 x 103

a)

0.700

b)

7,000

c)

700

d)

70

5.

73.32 x 100

a)

733.2

b)

7,332

c)

7.332

d)

70,332

6.

32.68 x 103

(a)  

7.

23 x 102

a)

23,000

b)

230

c)

230,000

d)

2,300

8.

4.234 x 105

a)

423.400

b)

423,400

c)

42,340

d)

4,234,000

9.
What number is 10 times as much as 700?
a)
7
b)
7,000
c)
70
d)
70,000
10.

1.09 x 1031.09\ x\ 10^3  

a)

1.09

b)

109

c)

10.9

d)

1,090

11.

6.2 x 1

a)

620

b)

62

c)

6.2

d)

.62

12.

0.78 x 1020.78\ x\ 10^2  

a)

7.8

b)

780

c)

0.78

d)

78

13.

45.1 x 10345.1\ x\ 10^3  

a)

451

b)

4,510

c)

4.51

d)

45,100

14.

86.542 x 0.01

a)

8.6542

b)

865.42

c)

0.86542

d)

8654.2

15.

102 x 943.01

a)

94301

b)

9430.1

c)

94.301

d)

9.4301

16.

103 x 4.83

a)

483.0

b)

4830

c)

48.30

d)

483000

17.

Which TWO answers are equal to 12.34?

a)

0.1234 x 103

b)

0.1234 x 102

c)

1234 x 0.01

d)

1234 x 0.1

18.

10210^2  

a)

10

b)

1,000

c)

100

d)

10,000

19.

5.8 x 100

a)

580

b)

5.8

c)

5,800

d)

.58

20.

Jim mails 103 flyers to clients in one week. How many flyers does Jim mail?

a)

1,000

b)

10

c)

100

d)

10,000

21.

How I'm feeling about multiplying by powers of ten...

a)

4 - Great! I understand what we are working on.

b)

3 - I'm doing okay. I don't understand it perfectly but I am getting better.

c)

2 - I'm a little frustrated, but I want to keep trying.

d)

1 - Not good. I am having a hard time and would like to talk to you about it.

Answer Key

Multiply by powers of ten

Total questions: 21

1.
9000, 9,000, 9, 000
2.
a)

8,200

3.
7,240, 7240, 7, 240
4.
b)

7,000

5.
b)

7,332

6.
32,680, 32, 680, 32680
7.
d)

2,300

8.
b)

423,400

9.
b) 7,000
10.
d)

1,090

11.
c)

6.2

12.
d)

78

13.
d)

45,100

14.
c)

0.86542

15.
a)

94301

16.
b)

4830

17.
b)

0.1234 x 102

, c)

1234 x 0.01

18.
c)

100

19.
a)

580

20.
a)

1,000

21.
n/a

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FAQs

What does the “Multiply by powers of ten” worksheet cover?

This Grade 5 worksheet focuses on multiplying whole numbers and decimals by powers of ten, including 1, 10, 100, 1,000, 10², 10³, 10⁵, and 0.01. Its 21 items use fill-in-the-blank, multiple-choice, and multiple-select formats to build place-value fluency, compare equivalent expressions, and connect “10 times as much” with multiplication.

How can I use this worksheet to teach multiplying by powers of ten?

Begin by modeling how multiplying by 10, 100, or 1,000 changes the value of each digit, then connect those examples to the worksheet’s expressions with powers such as 10² and 10³. Have students explain the place-value change before completing the multiple-choice items, and use the final equivalent-expression task to discuss why multiplying by 0.01 moves a decimal in the opposite direction.

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

Watch for students choosing a distractor that shifts the decimal the wrong number of places, such as treating 73.32 × 100 as 733.2 instead of 7,332. Students may also confuse multiplying by 1 with changing the number, misread 0.01 as 100, or select only one expression when an item asks for two equivalent answers.

How do I assign and grade this worksheet?

Wayground provides this powers-of-ten worksheet as both a printable PDF and a digital quiz, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online completion and review.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the powers-of-ten expressions, decimal values, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when that better supports access to the fill-in-the-blank, multiple-choice, and multiple-select items.

Where can I find more free 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 support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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