To multiply by a power of 10, simply move the **decimal to the right the same number of places as the exponent or as the number of zeros**.

How is a decimal multiplied by a power of ten?

- When a decimal number is multiplied by a power of ten, the product is found by moving the decimal point to the right that many places as the power of ten. For example, in 3.45 × 10 2, the product is obtained by moving the decimal point two places to the right, i.e., 3.452 × 10 2 = 345.2.

Contents

- 1 What happens to the decimal point when you multiply by 10?
- 2 Which way does the decimal point go when you multiply?
- 3 How do we multiply quickly decimal by 10 or 100 mentally?
- 4 How do you multiply decimal points?
- 5 What is the power of 10 rule?
- 6 How do you decide by which power of 10 to multiply an equation?
- 7 How do you multiply exponents of powers of 10?
- 8 How do you multiply by 10?

## What happens to the decimal point when you multiply by 10?

When you multiply a decimal by a power of 10, all you need to do is move the decimal point! For each zero in the power of 10, move the decimal point one place to the right. Since there are 3 zeros in 1,000, move the decimal point in 12.7 to the right 3 places.

## Which way does the decimal point go when you multiply?

The difference is that the decimal point moves to the right when you multiply; it moves to the left when you divide.

## How do we multiply quickly decimal by 10 or 100 mentally?

When multiplying or dividing by 10 or 100, or any power of ten, for that matter, move the decimal point the same number of places as there are zeros in the power of ten factor.

## How do you multiply decimal points?

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

## What is the power of 10 rule?

power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 10^{6} is written 1,000,000.

## How do you decide by which power of 10 to multiply an equation?

With negative powers of 10, the rule is the same: move the decimal point the number of places indicated by the exponent. Multiplying by negative exponents, the decimal point moves to the left; multiplying by positive exponents, the decimal point moves to the right.

## How do you multiply exponents of powers of 10?

To multiply by a power of 10, simply move the decimal to the right the same number of places as the exponent or as the number of zeros. Example: To divide by a power of 10, simply move the decimal to the left the same number of places as the exponent or as the number of zeros.

## How do you multiply by 10?

To multiply any number by 10, just tag ONE zero on the end. To multiply any number by 100, just tag TWO zeros on the end. To multiply any number by 1,000, just tag THREE zeros on the end. Note especially what happens when the number you multiply already ends in a zero or zeros.