Math Practice Problems - Multiply and Divide by Powers of 10

MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Multiply and Divide by Powers of 10 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=2, Mode=a

Compute.

Complexity=1, Mode=b

Compute.

Complexity=2, Mode=b

Compute.

Complexity=1, Mode=c

Compute.

Complexity=2, Mode=c

Compute.

Complexity=1

Compute.

Complexity=2

Compute.

Answers

Complexity=1, Mode=a

Compute.

Correct Answer

Your Answer

a. 7 × 1,000 =

b. 7 × 10,000 =

c. 7 × 100,000 =

Solution
When multiplying a whole number by a power of 10, add the number of zeroes of that power of 10 to the end of the whole number.

Example: 7 × 10,000

10,000 is 1 followed by 4 zeroes.

7 × 10,000	=	7 followed by 4 zeroes
	=	70,000

Correct Answer

Your Answer

a. 2 × 10,000 =

b. 2 × 100,000 =

c. 2 × 1,000,000 =

Solution
When multiplying a whole number by a power of 10, add the number of zeroes of that power of 10 to the end of the whole number.

Example: 2 × 100,000

100,000 is 1 followed by 5 zeroes.

2 × 100,000	=	2 followed by 5 zeroes
	=	200,000

Complexity=2, Mode=a

Compute.

Correct Answer

Your Answer

a. 18 × 10¹ =

b. 18 × 10² =

c. 18 × 10³ =

Solution
When multiplying a whole number by a power of 10, add the number of zeroes of that power of 10 to the end of the whole number.

Example: 18 × 10²

10² is 1 followed by 2 zeroes.

18 × 10²	=	18 followed by 2 zeroes
	=	1,800

Correct Answer

Your Answer

a. 82 × 10² =

b. 82 × 10³ =

c. 82 × 10⁴ =

Solution
When multiplying a whole number by a power of 10, add the number of zeroes of that power of 10 to the end of the whole number.

Example: 82 × 10³

10³ is 1 followed by 3 zeroes.

82 × 10³	=	82 followed by 3 zeroes
	=	82,000

Complexity=1, Mode=b

Compute.

Correct Answer

Your Answer

a. 4.69141 × 100 =

b. 4.69141 × 1,000 =

c. 4.69141 × 10,000 =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 4.69141 × 10,000
	10,000 is 1 followed by 4 zeroes. Move the decimal point 4 places to the right. 4.69141 × 10,000 = 46914.1

Correct Answer

Your Answer

a. 4.6631 × 10¹ =

b. 4.6631 × 10² =

c. 4.6631 × 10³ =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 4.6631 × 10³
	10³ is 1 followed by 3 zeroes. Move the decimal point 3 places to the right. 4.6631 × 10³ = 4663.1

Complexity=2, Mode=b

Compute.

Correct Answer

Your Answer

a. 6.24762 × 10⁴ =

b. 6.24762 × 10⁵ =

c. 6.24762 × 10⁶ =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 6.24762 × 10⁶
	10⁶ is 1 followed by 6 zeroes. Move the decimal point 6 places to the right. Add extra zeroes when the decimal point moves beyond the original decimal. 6.24762 × 10⁶ = 6247620

Correct Answer

Your Answer

a. 8.6106 × 1,000 =

b. 8.6106 × 10,000 =

c. 8.6106 × 100,000 =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 8.6106 × 100,000
	100,000 is 1 followed by 5 zeroes. Move the decimal point 5 places to the right. Add extra zeroes when the decimal point moves beyond the original decimal. 8.6106 × 100,000 = 861060

Complexity=1, Mode=c

Compute.

Correct Answer

Your Answer

a. 7,065.6 ÷ 10¹ =

b. 7,065.6 ÷ 10² =

c. 7,065.6 ÷ 10³ =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 7,065.6 ÷ 10³
	10³ is 1 followed by 3 zeroes. Move the decimal point 3 places to the left. 7,065.6 ÷ 10³ = 7.0656

Correct Answer

Your Answer

a. 8,102,318.9 ÷ 10⁴ =

b. 8,102,318.9 ÷ 10⁵ =

c. 8,102,318.9 ÷ 10⁶ =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 8,102,318.9 ÷ 10⁶
	10⁶ is 1 followed by 6 zeroes. Move the decimal point 6 places to the left. 8,102,318.9 ÷ 10⁶ = 8.1023189

Complexity=2, Mode=c

Compute.

Correct Answer

Your Answer

a. 34 ÷ 10¹ =

b. 34 ÷ 10² =

c. 34 ÷ 10³ =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 34 ÷ 10³
	10³ is 1 followed by 3 zeroes. Move the decimal point 3 places to the left. Add extra zeroes when the decimal point moves beyond the original decimal. 34 ÷ 10³ = 0.034

Correct Answer

Your Answer

a. 61,204.2 ÷ 10,000 =

b. 61,204.2 ÷ 100,000 =

c. 61,204.2 ÷ 1,000,000 =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 61,204.2 ÷ 1,000,000
	1,000,000 is 1 followed by 6 zeroes. Move the decimal point 6 places to the left. Add extra zeroes when the decimal point moves beyond the original decimal. 61,204.2 ÷ 1,000,000 = 0.0612042

Complexity=1

Compute.

Correct Answer

Your Answer

4.84524 × 10⁴ =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 4.84524 × 10⁴
	10⁴ is 1 followed by 4 zeroes. Move the decimal point 4 places to the right. 4.84524 × 10⁴ = 48452.4

Correct Answer

Your Answer

521,388.2 ÷ 1,000,000 =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 521,388.2 ÷ 1,000,000
	1,000,000 is 1 followed by 6 zeroes. Move the decimal point 6 places to the left. 521,388.2 ÷ 1,000,000 = 0.5213882

Complexity=2

Compute.

Correct Answer

Your Answer

0.1088 × 100,000 =

Solution
When multiplying a decimal by a power of 10, move the decimal point to the right by the number of zeroes of the power of 10.

Example: 0.1088 × 100,000
	100,000 is 1 followed by 5 zeroes. Move the decimal point 5 places to the right. Add extra zeroes when the decimal point moves beyond the original decimal. 0.1088 × 100,000 = 10880

Correct Answer

Your Answer

80 ÷ 10² =

Solution
When dividing a decimal by a power of 10, move the decimal point to the left by the number of zeroes of the power of 10.

Example: 80 ÷ 10²
	10² is 1 followed by 2 zeroes. Move the decimal point 2 places to the left. Add extra zeroes when the decimal point moves beyond the original decimal. 80 ÷ 10² = 0.8

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert