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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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5 Tests
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1. 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 the value of the digit 7 in 572,418572{,}418?

Please select an answer first.

Correct answer: A

The correct answer is 70,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: The 7 is in the ten-thousands place, so its value is 7×10,000=70,0007 \times 10{,}000 = 70{,}000.
  3. Check the choice: The correct choice is 70,000.

The 7 is in the ten-thousands place, so its value is 7×10,000=70,0007 \times 10{,}000 = 70{,}000.

2. QuestionMultiple choice

Which digit is in the ten-thousands place in 4,639,2054{,}639{,}205?

Please select an answer first.

Correct answer: B

The correct answer is 3.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Reading from right to left, the ten-thousands digit in 4,639,205 is 3.
  3. Check the choice: The correct choice is 3.

Reading from right to left, the ten-thousands digit in 4,639,205 is 3.

3. QuestionMultiple choice

Which is the expanded form of 8,430,7028{,}430{,}702?

Please select an answer first.

Correct answer: C

The correct answer is 8,000,000+400,000+30,000+700+28{,}000{,}000 + 400{,}000 + 30{,}000 + 700 + 2.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Each nonzero digit is written with its place value: 8 millions, 4 hundred-thousands, 3 ten-thousands, 7 hundreds, and 2 ones.
  3. Check the choice: The correct choice is 8,000,000+400,000+30,000+700+28{,}000{,}000 + 400{,}000 + 30{,}000 + 700 + 2.

Each nonzero digit is written with its place value: 8 millions, 4 hundred-thousands, 3 ten-thousands, 7 hundreds, and 2 ones.

4. QuestionMultiple choice

Which number is greater?

Please select an answer first.

Correct answer: D

The correct answer is 6,290,5006{,}290{,}500.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Both numbers have 6 millions, but 6,290,500 has more hundred-thousands and ten-thousands than 6,209,500.
  3. Check the choice: The correct choice is 6,290,5006{,}290{,}500.

Both numbers have 6 millions, but 6,290,500 has more hundred-thousands and ten-thousands than 6,209,500.

5. QuestionMultiple choice

What is the standard form of 9,000,000+20,000+69{,}000{,}000 + 20{,}000 + 6?

Please select an answer first.

Correct answer: A

The correct answer is 9,020,006.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Adding the place values gives 9,020,006.
  3. Check the choice: The correct choice is 9,020,006.

Adding the place values gives 9,020,006.

6. QuestionMultiple choice

What is the value of the digit 5 in 3,512,0083{,}512{,}008?

Please select an answer first.

Correct answer: B

The correct answer is 500,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: The 5 is in the hundred-thousands place, so its value is 500,000.
  3. Check the choice: The correct choice is 500,000.

The 5 is in the hundred-thousands place, so its value is 500,000.

7. QuestionMultiple choice

Which number is the smallest?

Please select an answer first.

Correct answer: C

The correct answer is 1,025,0001{,}025{,}000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: All numbers have 1 million, so compare the hundred-thousands and ten-thousands places. 1,025,000 is smallest.
  3. Check the choice: The correct choice is 1,025,0001{,}025{,}000.

All numbers have 1 million, so compare the hundred-thousands and ten-thousands places. 1,025,000 is smallest.

8. QuestionMultiple choice

Round 4,678,2314{,}678{,}231 to the nearest hundred thousand.

Please select an answer first.

Correct answer: D

The correct answer is 4,700,000.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: The ten-thousands digit is 7, so round the 6 in the hundred-thousands place up to 7.
  3. Check the choice: The correct choice is 4,700,000.

The ten-thousands digit is 7, so round the 6 in the hundred-thousands place up to 7.

9. QuestionMultiple choice

Which number has an 8 in the thousands place?

Please select an answer first.

Correct answer: A

The correct answer is 58,30658{,}306.

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: In 58,306, the digit 8 represents 8 thousands.
  3. Check the choice: The correct choice is 58,30658{,}306.

In 58,306, the digit 8 represents 8 thousands.

10. QuestionMultiple choice

Which statement describes place-value relationships?

Please select an answer first.

Correct answer: B

The correct answer is A digit has ten times the value when it moves one place to the left..

  1. Read the number: Identify the digit, place, power of ten, or operation shown.
  2. Use place-value reasoning: Each place is ten times the place immediately to its right and one-tenth the place immediately to its left.
  3. Check the choice: The correct choice is A digit has ten times the value when it moves one place to the left..

Each place is ten times the place immediately to its right and one-tenth the place immediately to its 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.