Expanded Forms
Word Form
Value of Powers of 10
Multiplying by Powers of 10
Dividing by Powers of 10
100

What is the expanded form of 102?

10 X 10

100

What is the word form for 100?

One

100

What is the value of 100?

1

100

Find the value: 2 X 103

2,000

103 is the same thing as 1,000, so 2 X 1,000 = 2,000.

100

Find the value: 17 divided by 100

17

100 is the same thing as 1, so 17 divided by one is 17.

200

What is the expanded form of 104?

10 X 10 X 10 X 10

200

What is the word form for 101?

Ten

200

What is the value of 103?

1,000

200

Find the value: 7 X 106

7,000,000

106 is the same thing as 1,000,000, so 7 X 1,000,000 = 7,000,000.

200

Find the value: 23 divided by 102

0.23

DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.

When dividing by 102, you move the decimal 2 spaces to the left to make a SMALLER NUMBER. Taking the whole number 23, placing a decimal at the end, and then moving the decimal two places to the left gives us 0.23 which is twenty-three hundredths.


300

What is the expanded form of 10 to the sixth power?

10 X 10 X 10 X 10 X 10 X 10

300

What is the word form for 102?

One Hundred

300

What is the value of 102?

100

300

Find the value: 12 X 103

12,000

103 is the same thing as 1,000, so 12 X 1,000 = 12,000.

300

Find the value: 45 divided by 101

4.5

DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.

When dividing by 101, you move the decimal 1 space to the left to make a SMALLER NUMBER. Taking the whole number 45, placing a decimal at the end, and then moving the decimal one place to the left gives us 4.5 which is four and five tenths.

400

What is the expanded form of 108?

10 X 10 X 10 X 10 X 10 X 10 X 10 X 10

400

What is the word form for 103?

One Thousand

400

What is the value of 105?

100,000

400

Find the value: 15 X 102

1,500

102 is the same thing as 100, so 15 X 100 = 1,500.

400

Find the value 273 divided by 103

0.273

DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.

When dividing by 103, you move the decimal 3 spaces to the left to make a SMALLER NUMBER. Taking the whole number 273, placing a decimal at the end, and then moving the decimal three places to the left gives us 0.273 which is two hundred seventy three thousandths.

500
What is the expanded form of 10 to the seventh power?

10 X 10 X 10 X 10 X 10 X 10 X 10

500

What is the word form for 104?

Ten Thousand

500

What is the value of 108?

100,000,000

500

Find the value: 842 X 102

84,200

102 is the same thing as 100, so 842 X 100 = 84,200.

500

Find the value: 278 divided by 104

0.0278

DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.

When dividing by 104, you move the decimal 4 spaces to the left to make a SMALLER NUMBER. Taking the whole number 278, placing a decimal at the end, and then moving the decimal four places to the left gives us 0.0278 which is two hundred seventy-eight ten thousandths.