Grade 5 Math · Place Value and Powers of Ten

Grade 5 Place Value and Powers of Ten Practice Test

Build Grade 5 Math skills with five 10-question practice tests on place value, expanded form, powers of ten, decimal shifts, comparing numbers, rounding, and base-ten reasoning.

Place Value and Powers of Ten Practice Tests

These Grade 5 Math practice tests help students understand how the base-ten system represents whole numbers and decimals. Students practice place value, expanded form, comparing and rounding numbers, powers of ten, multiplication and division by powers of ten, and decimal shifts.

Skills covered

  • Identifying the value and place of digits in whole numbers and decimals
  • Writing numbers in standard, expanded, and power-of-ten forms
  • Comparing and rounding multi-digit whole numbers and decimals
  • Evaluating powers of ten such as \(10^2\) and \(10^5\)
  • Multiplying and dividing by powers of ten using place-value shifts
  • Explaining patterns in the base-ten number system

How to use these practice tests

For each question, mark the place of the digit first. Then use a place-value chart, expanded form, or a power-of-ten relationship to check the calculation and answer.

For more Grade 5 Math practice, return to the Grade 5 Math category.

4. Test

Grade 5 Place Value and Powers of Ten Practice Tests

A 10-question Grade 5 Math practice test on place value, expanded form, comparing numbers, powers of ten, decimal shifts, rounding, and base-ten reasoning.

Read each number carefully. Use place-value charts, expanded form, powers of ten, and decimal-shift reasoning to choose the answer.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 3.7×103.7 \times 10?

Please select an answer first.

Correct answer: A

The correct answer is 37.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying a decimal by 10 moves the decimal point one place to the right.
  3. Check the choice: The correct choice is 37.

Multiplying a decimal by 10 moves the decimal point one place to the right.

2. QuestionMultiple choice

What is 4.52×1004.52 \times 100?

Please select an answer first.

Correct answer: B

The correct answer is 452.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 100 moves the decimal point two places to the right.
  3. Check the choice: The correct choice is 452.

Multiplying by 100 moves the decimal point two places to the right.

3. QuestionMultiple choice

What is 680div10680 div 10?

Please select an answer first.

Correct answer: C

The correct answer is 68.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 10 moves the decimal point one place to the left, so 680 becomes 68.
  3. Check the choice: The correct choice is 68.

Dividing by 10 moves the decimal point one place to the left, so 680 becomes 68.

4. QuestionMultiple choice

What is 0.83×1,0000.83 \times 1{,}000?

Please select an answer first.

Correct answer: D

The correct answer is 830.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 1,000 moves the decimal point three places to the right.
  3. Check the choice: The correct choice is 830.

Multiplying by 1,000 moves the decimal point three places to the right.

5. QuestionMultiple choice

What is 5.6div105.6 div 10?

Please select an answer first.

Correct answer: A

The correct answer is 0.56.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 10 moves the decimal point one place to the left, giving 0.56.
  3. Check the choice: The correct choice is 0.56.

Dividing by 10 moves the decimal point one place to the left, giving 0.56.

6. QuestionMultiple choice

What is 72.4div10072.4 div 100?

Please select an answer first.

Correct answer: B

The correct answer is 0.724.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 100 moves the decimal point two places to the left.
  3. Check the choice: The correct choice is 0.724.

Dividing by 100 moves the decimal point two places to the left.

7. QuestionMultiple choice

What is 0.009×1,0000.009 \times 1{,}000?

Please select an answer first.

Correct answer: C

The correct answer is 9.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 1,000 moves the decimal point three places to the right, so 0.009 becomes 9.
  3. Check the choice: The correct choice is 9.

Multiplying by 1,000 moves the decimal point three places to the right, so 0.009 becomes 9.

8. QuestionMultiple choice

What is 4.05×1024.05 \times 10^2?

Please select an answer first.

Correct answer: D

The correct answer is 405.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 102=10010^2 = 100 moves the decimal point two places to the right.
  3. Check the choice: The correct choice is 405.

Multiplying by 102=10010^2 = 100 moves the decimal point two places to the right.

9. QuestionMultiple choice

Which expression equals 6.32?

Please select an answer first.

Correct answer: A

The correct answer is 63.2div1063.2 div 10.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing 63.2 by 10 moves the decimal point one place left and gives 6.32.
  3. Check the choice: The correct choice is 63.2div1063.2 div 10.

Dividing 63.2 by 10 moves the decimal point one place left and gives 6.32.

10. QuestionMultiple choice

What happens to the decimal point when a number is multiplied by 10n10^n?

Please select an answer first.

Correct answer: B

The correct answer is It moves n places to the right..

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: In base ten, multiplying by a power of ten shifts the decimal point to the right by the exponent.
  3. Check the choice: The correct choice is It moves n places to the right..

In base ten, multiplying by a power of ten shifts the decimal point to the right by the exponent.

Frequently asked questions about Grade 5 Place Value and Powers of Ten

What is place value?

Place value is the value a digit has because of its position in a number, such as ones, tens, hundreds, tenths, and hundredths.

How do powers of ten affect a number?

Multiplying by a power of ten shifts digits to the left, while dividing by a power of ten shifts digits to the right by the number of places in the exponent.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 5 Place Value and Powers of Ten questions in total.