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

5th Grade math worksheet: Place Value and Powers of Ten – Maths PDF

Cover of the book Grade 5 Math Worksheets with Answers (PDF)

Download as a PDFThe Grade 5 worksheets book with answersPrintable PDFSee the book ›

Sommaire

This powers of ten worksheet 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.

These 20 problems practice place value and powers of 10 (Common Core 5.NBT.A.1 and 5.NBT.A.2). You will compare the value of digits in neighboring places, write powers of 10 with exponents, and multiply and divide whole numbers and decimals by 10, 100 and 1,000.

Watch the decimal point move. It moves right when you multiply and left when you divide. The last six problems are word problems.

Grade 5 · Common Core State Standards: 5.NBT.A.1, 5.NBT.A.2

Powers of ten worksheet: exercises 1 to 10

Exercise 1 – Tens and hundreds

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

Exercise 2 – One tenth

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

Exercise 3 – Compare digits in 3.33

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?

A place value chart.

Exercise 4 – Multiply by 10

Find each product.

$3.7\times10$
$0.46\times10$
$52\times10$

Exercise 5 – Divide by 10

Find each quotient.

$450\div10$
$63\div10$
$8\div10$
$2.5\div10$

Exercise 6 – Multiply by 100

Find each product.

$6\times100$
$0.38\times100$
$4.5\times100$
$0.07\times100$

Exercise 7 – Divide by 100

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

$7{,}200\div100$
$530\div100$
$9\div100$
$46.5\div100$

Two places left.

Exercise 8 – Multiply by 1,000

Find each product.

$0.9\times1{,}000$
$3.25\times1{,}000$
$12\times1{,}000$
$0.004\times1{,}000$

Exercise 9 – Write the exponent

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

$100$
$10{,}000$
$1{,}000{,}000$

Count the 10s.

Exercise 10 – Evaluate powers of 10

Write each power of 10 as a standard number.

$10^{1}$
$10^{3}$
$10^{5}$

Exercises 11 and up

Exercise 11 – Multiply by powers of 10

Find each product.

$4.2\times10^{2}$
$0.067\times10^{3}$
$35\times10^{4}$
$0.5\times10^{1}$

Exercise 12 – Divide by powers of 10

Find each quotient.

$840\div10^{2}$
$6\div10^{3}$
$25.3\div10^{1}$
$9{,}000\div10^{3}$

Exercise 13 – Missing exponent

Find the missing exponent.

$3.4\times10^{?}=3{,}400$
$0.056\times10^{?}=56$
$720\div10^{?}=7.2$
$15\div10^{?}=0.015$

Exercise 14 – Missing number

Find the missing number.

$?\times10^{2}=8{,}500$
$62\div10^{?}=0.62$
$?\times10^{3}=4{,}200$
$0.9\times10^{?}=90$

Exercise 15 – Pencil boxes

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.

Each box holds 100 pencils.

Exercise 16 – Line of ants

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

Each ant is 0.3 inch long.

Exercise 17 – Weekly savings

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

Exercise 18 – Crayon cartons

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?

Exercise 19 – Mei's product

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

Exercise 20 – Bake sale quarters

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?

Each brownie costs 25 cents.

Key facts behind this powers of ten worksheet

Key facts

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 worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the powers of ten worksheet as a PDF with the button below and keep it with your notes.

All Grade 5 chapters: Grade 5 math.

Voter.. post

Free printable PDF