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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 10110^1?

Please select an answer first.

Correct answer: A

The correct answer is 10.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: An exponent of 1 means one factor of 10, so 101=1010^1 = 10.
  3. Check the choice: The correct choice is 10.

An exponent of 1 means one factor of 10, so 101=1010^1 = 10.

2. QuestionMultiple choice

What is 10410^4?

Please select an answer first.

Correct answer: B

The correct answer is 10,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: The exponent 4 means multiply four factors of 10: 10×10×10×10=10,00010 \times 10 \times 10 \times 10 = 10{,}000.
  3. Check the choice: The correct choice is 10,000.

The exponent 4 means multiply four factors of 10: 10×10×10×10=10,00010 \times 10 \times 10 \times 10 = 10{,}000.

3. QuestionMultiple choice

What is 6×1036 \times 10^3?

Please select an answer first.

Correct answer: C

The correct answer is 6,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Since 103=1,00010^3 = 1{,}000, 6×1,000=6,0006 \times 1{,}000 = 6{,}000.
  3. Check the choice: The correct choice is 6,000.

Since 103=1,00010^3 = 1{,}000, 6×1,000=6,0006 \times 1{,}000 = 6{,}000.

4. QuestionMultiple choice

What is 7×1057 \times 10^5?

Please select an answer first.

Correct answer: D

The correct answer is 700,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Since 105=100,00010^5 = 100{,}000, 7imes100,000=700,0007 imes 100{,}000 = 700{,}000.
  3. Check the choice: The correct choice is 700,000.

Since 105=100,00010^5 = 100{,}000, 7imes100,000=700,0007 imes 100{,}000 = 700{,}000.

5. QuestionMultiple choice

What is 10010^0?

Please select an answer first.

Correct answer: A

The correct answer is 1.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Any nonzero number raised to the zero power equals 1, so 100=110^0 = 1.
  3. Check the choice: The correct choice is 1.

Any nonzero number raised to the zero power equals 1, so 100=110^0 = 1.

6. QuestionMultiple choice

Which expression equals 2,000?

Please select an answer first.

Correct answer: B

The correct answer is 2×1032 \times 10^3.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Because 103=1,00010^3 = 1{,}000, 2imes103=2,0002 imes 10^3 = 2{,}000.
  3. Check the choice: The correct choice is 2×1032 \times 10^3.

Because 103=1,00010^3 = 1{,}000, 2imes103=2,0002 imes 10^3 = 2{,}000.

7. QuestionMultiple choice

Which expression equals 9,000,000?

Please select an answer first.

Correct answer: C

The correct answer is 9×1069 \times 10^6.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: The number 9,000,000 has 9 in the millions place, so it is 9imes1069 imes 10^6.
  3. Check the choice: The correct choice is 9×1069 \times 10^6.

The number 9,000,000 has 9 in the millions place, so it is 9imes1069 imes 10^6.

8. QuestionMultiple choice

What is 5imes1025 imes 10^2?

Please select an answer first.

Correct answer: D

The correct answer is 500.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Since 102=10010^2 = 100, 5imes100=5005 imes 100 = 500.
  3. Check the choice: The correct choice is 500.

Since 102=10010^2 = 100, 5imes100=5005 imes 100 = 500.

9. QuestionMultiple choice

Which expression equals 4,000?

Please select an answer first.

Correct answer: A

The correct answer is 4imes1034 imes 10^3.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Four groups of one thousand equal 4,000.
  3. Check the choice: The correct choice is 4imes1034 imes 10^3.

Four groups of one thousand equal 4,000.

10. QuestionMultiple choice

What is 60,000div10260{,}000 div 10^2?

Please select an answer first.

Correct answer: B

The correct answer is 600.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Dividing by 102=10010^2 = 100 moves the digits two places to the right: 60,000 becomes 600.
  3. Check the choice: The correct choice is 600.

Dividing by 102=10010^2 = 100 moves the digits two places to the right: 60,000 becomes 600.

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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.