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

5th Grade math test: Place Value and Powers of Ten – Maths PDF


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.

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

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.

View solution

All Grade 5 chapters: Grade 5 math.

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