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.

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 when you multiply by a power of 10?
- 2 What happens to the decimal point in a number when you multiply it by 1000?
- 3 What happens to the decimal point each time we multiply a decimal number by 100?
- 4 Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?
- 5 What happens when you multiply a decimal by 10?
- 6 How do you multiply decimal values?
- 7 What is decimal multiplication?
- 8 Why do we move the decimal point when multiplying?
- 9 How do you multiply decimals and whole numbers?
- 10 When you divide a decimal by a decimal Why do you multiply the dividend and the divisor by a power of 10?

## What happens when you multiply by a power 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: So, to multiply by a negative exponent, you simply move the decimal point left the same number of places as the exponent indicates.

## What happens to the decimal point in a number when you multiply it by 1000?

3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right. Here we multiplied the number 793.41by 1000 so we move 3 places to the right.

## What happens to the decimal point each time we multiply a decimal number by 100?

To multiply by 100, you move the digits two places to the left. To multiply by 100, you move the digits two places to the left. So 3.12 × 100 = 312.

## Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?

The idea is to multiply by some number (10, 100, 1000, etc.) so that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2.

## What happens when you multiply a decimal by 10?

When you multiply a decimal by a power of 10, all you need to do is move the decimal point! as an example. Since there are 3 zeros in 1,000, move the decimal point in 12.7 to the right 3 places.

## How do you multiply decimal values?

How to Multiply Decimals

- Multiply normally, ignoring the decimal points.
- Then put the decimal point in the answer – it will have as many decimal places as the two original numbers combined.

## What is decimal multiplication?

Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

## Why do we move the decimal point when multiplying?

It’s simply a matter of counting how many factors of 10 appear in the denominator after the multiplication. Each factor of 10 in the denominator moves the decimal point one place to the left.

## How do you multiply decimals and whole numbers?

If you want to multiply a decimal by a whole number, just ignore the decimal point and multiply like normal! Then, bring the decimal point back for the answer.

## When you divide a decimal by a decimal Why do you multiply the dividend and the divisor by a power of 10?

In each pattern, the quotient remains the same. Thus, multiplying both the divisor and dividend by the same power of 10 maintains the equality of the expression. Problem 2: Continue each pattern below by multiplying the divisor and the dividend by 10 until the divisor is a whole number.