5th Grade Place Value and Powers of Ten Worksheet (PDF)

In the number 7,700, how many times the value of the 7 in the hundreds place is the 7 in the thousands place?

In the number 440, the 4 in the tens place is what fraction of the value of the 4 in the hundreds place?

The chart shows the number 3.33. How many times the value of the 3 in the tenths place is the 3 in the ones place?

Find each product.

1. \(3.7\times10\)
2. \(0.46\times10\)
3. \(52\times10\)

Find each quotient.

1. \(450\div10\)
2. \(63\div10\)
3. \(8\div10\)
4. \(2.5\div10\)

Find each product.

1. \(6\times100\)
2. \(0.38\times100\)
3. \(4.5\times100\)
4. \(0.07\times100\)

Find each quotient. The picture shows how the point moves in the first problem.

1. \(7{,}200\div100\)
2. \(530\div100\)
3. \(9\div100\)
4. \(46.5\div100\)

Find each product.

1. \(0.9\times1{,}000\)
2. \(3.25\times1{,}000\)
3. \(12\times1{,}000\)
4. \(0.004\times1{,}000\)

Write each number as a power of 10 with an exponent.

1. \(100\)
2. \(10{,}000\)
3. \(1{,}000{,}000\)

Write each power of 10 as a standard number.

1. \(10^{1}\)
2. \(10^{3}\)
3. \(10^{5}\)

Find each product.

1. \(4.2\times10^{2}\)
2. \(0.067\times10^{3}\)
3. \(35\times10^{4}\)
4. \(0.5\times10^{1}\)

Find each quotient.

1. \(840\div10^{2}\)
2. \(6\div10^{3}\)
3. \(25.3\div10^{1}\)
4. \(9{,}000\div10^{3}\)

Find the missing exponent.

1. \(3.4\times10^{?}=3{,}400\)
2. \(0.056\times10^{?}=56\)
3. \(720\div10^{?}=7.2\)
4. \(15\div10^{?}=0.015\)

Find the missing number.

1. \(?\times10^{2}=8{,}500\)
2. \(62\div10^{?}=0.62\)
3. \(?\times10^{3}=4{,}200\)
4. \(0.9\times10^{?}=90\)

The school store ordered \(10^{3}\) pencils. Each box holds \(10^{2}\) pencils. Write the division with powers of 10 and find how many boxes the store filled.

An ant is 0.3 inch long. A line of 100 ants walks head to tail. How long is the line in inches?

Ethan saves \(\$2.35\) each week. How much does he save in 10 weeks? How much in 100 weeks?

A factory has 6,000 crayons. It packs 100 crayons in each box and 10 boxes in each carton. How many boxes and how many cartons does it fill?

Mei multiplies 0.35 by 100 and writes 0.3500. Explain her mistake and find the correct product.

At a bake sale, Diego sells \(10^{2}\) brownies for \(\$0.25\) each. He gives away \(\frac{1}{10}\) of the money to the animal shelter. How much money does he give?