**> Multiply and Divide by Powers of 10 <**

**Multiply and Divide by Powers Of 10**

We can use powers of 10 to multiply and divide

numbers.

**Multiply a whole number by a power of 10**

Add on as many 0's as appear in the power.

To multiply by 10, move the decimal 1 place to the right.

Examples. 47 × 10 = 470

To multiply by 100, move the decimal 2 place to the right.

Example. 47 × 100 = 4700

To multiply by 1000, move the decimal 3 place to the right.

Example. 47 × 1000 = 47000

**Multiply decimals by a power of 10**

Move the decimal point to the right as many places as there are

zeros.

To multiply by 10, move the decimal 1 place to the right.

Example. 5.68 × 10 = 56.8

To multiply by 100, move the decimal 2 place to the right.

Examples. 5.68 × 100 = 568

To multiply by 1000, move the decimal 3 place to the right.

Example. 5.68 × 1000 = 5,680

**Dividing Whole Numbers by Powers Of 10**

Start from the right of the whole number, move the decimal point to the

left as many places as there are zeros in power. Add zeros if not

enough places.

To divide by 10, move the decimal 1 place to the left.

Example: 347 ÷ 10 = 34.7

To divide by 1000, move the decimal 3 place to the left.

Example: 347 ÷ 1000 = .347

**Dividing Decimals by Powers Of 10**

Move the decimal point to the left as many places as there are zeros

in power. Add zeros if not enough places

To divide by 100, move the decimal 2 place to the left

Example: 34.7 ÷ 100 = .347

To divide by 1000, move the decimal 3 place to the left.

Example: 34.7 ÷ 100 = 0.347