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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.

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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 32×1032 \times 10?

Please select an answer first.

Correct answer: A

The correct answer is 320.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 10 moves every digit one place to the left, so 32 becomes 320.
  3. Check the choice: The correct choice is 320.

Multiplying by 10 moves every digit one place to the left, so 32 becomes 320.

2. QuestionMultiple choice

What is 4,500×1004{,}500 \times 100?

Please select an answer first.

Correct answer: B

The correct answer is 450,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 100 moves the digits two places to the left and gives 450,000.
  3. Check the choice: The correct choice is 450,000.

Multiplying by 100 moves the digits two places to the left and gives 450,000.

3. QuestionMultiple choice

What is 73,000div1073{,}000 div 10?

Please select an answer first.

Correct answer: C

The correct answer is 7,300.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 10 moves the digits one place to the right, so 73,000 becomes 7,300.
  3. Check the choice: The correct choice is 7,300.

Dividing by 10 moves the digits one place to the right, so 73,000 becomes 7,300.

4. QuestionMultiple choice

What is 8,000,000div1038{,}000{,}000 div 10^3?

Please select an answer first.

Correct answer: D

The correct answer is 8,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 1,000 moves the digits three places to the right: 8,000,000 becomes 8,000.
  3. Check the choice: The correct choice is 8,000.

Dividing by 1,000 moves the digits three places to the right: 8,000,000 becomes 8,000.

5. QuestionMultiple choice

What is 62×1,00062 \times 1{,}000?

Please select an answer first.

Correct answer: A

The correct answer is 62,000.

  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 digits three places to the left and gives 62,000.
  3. Check the choice: The correct choice is 62,000.

Multiplying by 1,000 moves the digits three places to the left and gives 62,000.

6. QuestionMultiple choice

What is 5,600div1005{,}600 div 100?

Please select an answer first.

Correct answer: B

The correct answer is 56.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 100 moves the digits two places to the right, so 5,600 becomes 56.
  3. Check the choice: The correct choice is 56.

Dividing by 100 moves the digits two places to the right, so 5,600 becomes 56.

7. QuestionMultiple choice

What is 9×1049 \times 10^4?

Please select an answer first.

Correct answer: C

The correct answer is 90,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Since 104=10,00010^4 = 10{,}000, 9imes10,000=90,0009 imes 10{,}000 = 90{,}000.
  3. Check the choice: The correct choice is 90,000.

Since 104=10,00010^4 = 10{,}000, 9imes10,000=90,0009 imes 10{,}000 = 90{,}000.

8. QuestionMultiple choice

What is 420,000div102420{,}000 div 10^2?

Please select an answer first.

Correct answer: D

The correct answer is 4,200.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 100 moves the digits two places to the right, giving 4,200.
  3. Check the choice: The correct choice is 4,200.

Dividing by 100 moves the digits two places to the right, giving 4,200.

9. QuestionMultiple choice

The pattern is 6, 60, 600, 6,000. What operation creates each next term?

Please select an answer first.

Correct answer: A

The correct answer is Multiply by 10.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Each term is ten times the previous term.
  3. Check the choice: The correct choice is Multiply by 10.

Each term is ten times the previous term.

10. QuestionMultiple choice

Why do zeros often appear when a whole number is multiplied by 10n10^n?

Please select an answer first.

Correct answer: B

The correct answer is The digits shift n places to the left in the base-ten system..

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Multiplying by 10n10^n shifts digits n place values to the left.
  3. Check the choice: The correct choice is The digits shift n places to the left in the base-ten system..

Multiplying by 10n10^n shifts digits n place values to the left.

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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.