Place Value and Powers of 10: Grade 5 Math Worksheet – PDF Download

Grade 5 Powers of Ten Worksheet: problems 1–5

Problem 1: Comparing two 6s

Look at the number 6,600. Find how many times as much the left 6 is worth as the right 6.

Problem 2: Tenths and hundredths

The two grids show 0.5 and 0.05. Find how many times as much \(0.5\) is as \(0.05\).

Problem 3: One tenth and ten times

1. Find \(\frac{1}{10}\) of \(0.3\).
2. Find \(\frac{1}{10}\) of \(40\).
3. Find 10 times \(0.07\).

Problem 4: Times 10 and divided by 10

1. Find \(10 \times 8.5\).
2. Find \(8.5 : 10\).
3. Find \(10 \times 0.062\).
4. Find \(62 : 10\).

Problem 5: Reading the power-of-10 picture

Use the figure to answer each part.

1. Find the value of \(10^{3}\).
2. Write 10,000 as a power of 10.
3. Find the value of \(10^{5}\).

Grade 5 Powers of Ten Worksheet: problems 6–10

Problem 6: Powers of 10 and zeros

1. Write \(10 \times 10 \times 10 \times 10 \times 10\) as a power of 10.
2. Write 100,000,000 as a power of 10.
3. Write \(10^{4}\) as a number.

Problem 7: Evaluating powers of 10

1. Find \(10^{2}\).
2. Find \(10^{4}\).
3. Find \(10^{7}\).

Problem 8: Counting zeros

1. How many zeros are in the value of \(10^{9}\)? Write the number.
2. A number is 1 followed by 5 zeros. Write it as a power of 10.

Problem 9: Multiplying by 10, 100 and 1,000

Find each product.

1. \(6.3 \times 10\)
2. \(6.3 \times 100\)
3. \(6.3 \times 1,000\)

Problem 10: Shifting digits left

The chart shows 3.45. Find \(3.45 \times 10^{2}\).

Grade 5 Powers of Ten Worksheet: problems 11–15

Problem 11: Decimals times powers of 10

1. \(0.48 \times 10^{2}\)
2. \(0.048 \times 10^{3}\)
3. \(7.5 \times 10^{3}\)
4. \(0.9 \times 10^{1}\)

Problem 12: Dividing 530 by powers of 10

1. \(530 : 10\)
2. \(530 : 10^{2}\)
3. \(530 : 10^{3}\)

Problem 13: Shifting digits right

The chart shows 520. Find \(520 : 10^{2}\).

Problem 14: Decimals divided by powers of 10

1. \(4.7 : 10\)
2. \(36 : 10^{2}\)
3. \(0.8 : 10\)
4. \(5 : 10^{3}\)

Problem 15: Missing exponent in multiplication

Find the exponent that makes each equation true.

1. \(4.2 \times 10^{?} = 4,200\)
2. \(0.75 \times 10^{?} = 75\)
3. \(6 \times 10^{?} = 600,000\)

Grade 5 Powers of Ten Worksheet: problems 16–20

Problem 16: Missing exponent in division

Find the exponent that makes each equation true.

1. \(9,000 : 10^{?} = 9\)
2. \(560 : 10^{?} = 0.56\)
3. \(31 : 10^{?} = 3.1\)

Problem 17: Power-of-10 patterns

Write the next two numbers in each pattern.

1. \(0.004,\,\,0.04,\,\,0.4,\,\,\text{?},\,\,\text{?}\)
2. \(2,000,\,\,200,\,\,20,\,\,\text{?},\,\,\text{?}\)

Problem 18: Which is greater?

1. Compare \(10 \times 0.36\) and \(0.36 : 10\). Which is greater?
2. Compare \(0.5 \times 10^{3}\) and \(5.2 \times 10^{2}\). Which is greater?

Problem 19: Find the error

Liam writes \(2.5 \times 100 = 2.500\). Explain his mistake and give the correct product.

Problem 20: Explain with place value

Explain why \(8 : 10^{2} = 0.08\) using place value.

Grade 5 Powers of Ten Worksheet: problems 21–25

Problem 21: Apple crates

A farm stand packs apples in crates of \(10^{2}\). Ms. Rivera orders \(46\) crates. Find how many apples she orders.

Problem 22: Running laps

Maya runs laps on a track that is 0.65 mile around. She runs 10 laps. Find the total distance.

Problem 23: Stack of cardstock

One sheet of cardstock is \(0.012\) inch thick. Find the height of a stack of \(10^{2}\) sheets.

Problem 24: Honey at the farmers market

Ethan sells \(10^{2}\) jars of honey for $6.40 each. He puts the money into \(10^{1}\) equal envelopes. Find how much money is in each envelope.

Problem 25: Sticker packs

Liam buys \(10^{2}\) stickers for a class party. Each sticker costs \(\$0.45\). He splits the cost equally with 9 classmates, so 10 people pay equal parts. Find each person’s share.

Grade 5 Powers of Ten Worksheet: problems 26–26

Problem 26: Milk bottles

A dairy fills \(10^{3}\) bottles with \(0.35\) gallon each. All the milk is then poured into \(10^{2}\) equal tanks. Find the number of gallons in each tank.

How to use this grade 5 powers of ten worksheet

Print this grade 5 powers of ten worksheet as a PDF, solve every problem on paper, then compare with the answer key.

See every chapter on the Grade 5 math page.