5th Grade Place Value and Powers of Ten Test with Point Values (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.
- 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.
- 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.
All Grade 5 chapters: Grade 5 math.
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