5th Grade Place Value and Powers of Ten Test with Point Values (PDF)

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This powers of ten test for 5th Grade covers place value and powers of ten (Common Core 5.NBT.A.1, 5.NBT.A.2), with a free PDF to print.

This test covers place value and powers of 10 for Grade 5 (5.NBT.A.1 and 5.NBT.A.2). It has 9 questions worth 20 points. You have 45 minutes. Show how you move the decimal point or explain in words. Calculators are not allowed. Write all exponents clearly.

Time and points

About this test
  • Grade: Grade 5
  • Chapter: Place Value and Powers of Ten
  • Standards: 5.NBT.A.1, 5.NBT.A.2
  • Time: 45 minutes
  • Total: 20 points

Powers of ten test: questions

Question 1 – Digits in 6,660 [2 pts]

Look at the number 6,660.

Thousands6Hundreds6Tens6Ones0
The number 6,660.
  1. How many times the value of the 6 in the hundreds place is the 6 in the thousands place? (1 point)
  2. The 6 in the tens place is what fraction of the 6 in the hundreds place? (1 point)

Question 2 – Multiply and divide by 10 [2 pts]

Find each answer.

  1. \(3.8\times10\) (1 point)
  2. \(520\div10\) (1 point)

Question 3 – Powers of 10 operations [3 pts]

Find each answer.

  1. \(0.64\times10^{2}\) (1 point)
  2. \(7.1\times10^{3}\) (1 point)
  3. \(4{,}300\div10^{2}\) (1 point)

Question 4 – Exponents [2 pts]

Answer each part.

  1. Write 10,000 as a power of 10 with an exponent. (1 point)
  2. Write \(10^{3}\) as a standard number. (1 point)

Question 5 – Missing exponents [2 pts]

Find the missing exponent in each equation.

  1. \(2.9\times10^{?}=2{,}900\) (1 point)
  2. \(8\div10^{?}=0.08\) (1 point)

Question 6 – Mei's mistake [2 pts]

Mei says that \(0.35\times100=0.3500\). Explain her mistake and give the correct product.

Question 7 – Peach packs [3 pts]

A farm stand has 6,000 peaches. It packs \(10^{2}\) peaches in each pack.

100100100100100100…
Each pack holds 100 peaches.
  1. How many packs does the stand fill? (1 point)
  2. Ten packs go in each crate. How many crates does the stand fill? (2 points)

Question 8 – Cupcake sale [3 pts]

A school sells cupcakes for \(\$1.25\) each. Find the money collected for each number of cupcakes.

10 cupcakes100 cupcakes1,000 cupcakes
Three sales.
  1. 10 cupcakes (1 point)
  2. 100 cupcakes (1 point)
  3. 1,000 cupcakes (1 point)

Question 9 – Digits in 0.88 [1 pt]

Complete the sentence: The 8 in the hundredths place of 0.88 is ___ of the value of the 8 in the tenths place.

See the solutions: Place Value and Powers of Ten test solutions

Key facts behind this powers of ten test

Key facts
  • Each place is 10 times the place to its right and 1/10 of the place to its left.
  • The exponent of a power of 10 tells how many 10s are multiplied and how many zeros the value has.
  • Multiplying by a power of 10 moves the decimal point right by the exponent.
  • Dividing by a power of 10 moves the decimal point left by the exponent.
  • 10 to the third power means 10 × 10 × 10 = 1,000, not 3 × 10.

How to use this powers of ten test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 5 chapters: Grade 5 math.

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5th Grade Place Value and Powers of Ten Test with Point Values

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