5th Grade Place Value and Powers of Ten Test with Point Values (PDF)
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
- 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.
- How many times the value of the 6 in the hundreds place is the 6 in the thousands place? (1 point)
- 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.
- \(3.8\times10\) (1 point)
- \(520\div10\) (1 point)
Question 3 – Powers of 10 operations [3 pts]
Find each answer.
- \(0.64\times10^{2}\) (1 point)
- \(7.1\times10^{3}\) (1 point)
- \(4{,}300\div10^{2}\) (1 point)
Question 4 – Exponents [2 pts]
Answer each part.
- Write 10,000 as a power of 10 with an exponent. (1 point)
- Write \(10^{3}\) as a standard number. (1 point)
Question 5 – Missing exponents [2 pts]
Find the missing exponent in each equation.
- \(2.9\times10^{?}=2{,}900\) (1 point)
- \(8\div10^{?}=0.08\) (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.
- How many packs does the stand fill? (1 point)
- 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 cupcakes (1 point)
- 100 cupcakes (1 point)
- 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.
Key facts behind this powers of ten test
- 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.
More 5th Grade math
Lessons
See allWorksheets
See allTests
See allMultiplying Multi-Digit Whole Numbers Test with Point Values
Reading, Comparing and Rounding Decimals Test with Point Values
Patterns and Ordered Pairs Test with Point Values
Multiplying Fractions and Mixed Numbers Test with Point Values
Volume of Rectangular Prisms Test with Point Values
Dividing Unit Fractions and Whole Numbers Test with Point Values

























