This grade 5 powers of ten test checks place value and powers of 10 in 45 minutes, with 9 questions for a total of 20 points.
This test covers place value and powers of 10 (5.NBT.A.1 and 5.NBT.A.2). It has 9 questions worth 20 points in total. Show your work, write units where they are needed, and keep digits aligned in the place-value charts.
- Grade: Grade 5
- Chapter: Place Value and Powers of 10
- Common Core: 5.NBT.A.1, 5.NBT.A.2
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts; Question 9: 2 pts)
Grade 5 Powers of Ten Test: questions 1–5
Question 1: Place value relationships (2 points)
The chart shows 770.
- How many times as much is the value of the left 7 as the value of the right 7? (1 point)
- The 7 in the tens place is what fraction of the 7 in the hundreds place? (1 point)
Question 2: Powers of 10 (2 points)
- Write \(10 \times 10 \times 10 \times 10\) as a power of 10 and find its value. (1 point)
- Write \(10^{6}\) as a number. (1 point)
Question 3: Multiplying decimals (2 points)
- \(5.6 \times 10^{2}\) (1 point)
- \(0.047 \times 10^{3}\) (1 point)
Question 4: Dividing by powers of 10 (2 points)
- \(3,400 : 10^{2}\) (1 point)
- \(6 : 10^{3}\) (1 point)
Question 5: Missing exponents (2 points)
Write the exponent that makes each equation true.
- \(7.1 \times 10^{?} = 7,100\) (1 point)
- \(25 : 10^{?} = 0.025\) (1 point)
Grade 5 Powers of Ten Test: questions 6–9
Question 6: Complete the table (2 points)
| Start | Operation | Result |
|---|---|---|
| 0.52 | \(\times 10\) | a |
| 0.52 | \(\times 10^{3}\) | b |
| 0.52 | \(: 10\) | c |
| 0.52 | \(: 10^{2}\) | d |
Find the result in each row. Rows a and b together are worth (1 point), rows c and d together (1 point).
Question 7: Check Noah's work (3 points)
Noah says that \(4.06 \times 10^{2} = 40.6\).
- Find the correct value of \(4.06 \times 10^{2}\). (1 point)
- Explain Noah’s mistake using place value. (2 points)
Question 8: Raffle tickets (3 points)
Maya’s school sells \(10^{2}\) raffle tickets for $2.50 each. The money is shared equally among \(10^{1}\) classes.
- Find the total money collected. (2 points)
- Find the amount each class gets. (1 point)
Question 9: Digits in 7.77 (2 points)
The chart shows 7.77.
- Write the value of the 7 in the tenths place and the 7 in the hundredths place. (1 point)
- How many times as much is the tenths 7 as the hundredths 7? (1 point)
How to use this grade 5 powers of ten test
Take this grade 5 powers of ten test without notes, then grade it with the test answer key out of 20 points.
See every chapter on the Grade 5 math page.