Table of Contents

- 1 How do you multiply and divide decimals by 10 100 1000?
- 2 What happens to a decimal when you divide a number by 10 by 100 by 1000?
- 3 How do you do 1000 division?
- 4 How to multiply and divide decimals by 10, 100 and 1000?
- 5 How to multiply and divide decimals by powers of ten?
- 6 Why does dividing by 10, 100 and 1000 work?

## How do you multiply and divide decimals by 10 100 1000?

When we multiply by 10, 100 and 1000 we shift the digits to the left. One place left for 10, two places left for 100 and three places left for 1000. When we divide by 10, 100 and 1000 we do the opposite and shift the digits to the right instead.

## What happens to a decimal when you divide a number by 10 by 100 by 1000?

There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000: Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).

**What does multiplying a decimal by 10 100 or 1000 mean?**

When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier. 1. To multiply a decimal by 10, move the decimal point in the multiplicant by one place to the right.

### How do you do 1000 division?

To divide by 1000, move all digits in a number 3 place value columns to the right.

- To divide a number by 1000, move all of its digits 3 place value columns to the right.
- In this example we have 604 ÷ 1000.
- The ‘6’ in the hundreds column moves to the tenths column, immediately after the decimal point.

### How to multiply and divide decimals by 10, 100 and 1000?

Multiply and Divide Decimals by 10, 100, and 1000 (powers of ten) There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000: Move the decimal point to the right as many places as there are zeros in the factor.

**How do you divide decimals by whole numbers?**

Dividing decimals by whole numbers works the same way as dividing whole numbers except, just like addition and subtraction of decimals, the decimal point must be kept in line. When dividing by 10, 100 or 1000, remember to move all digits the correct number of places to the right.

## How to multiply and divide decimals by powers of ten?

This is a complete lesson with a video & exercises showing, first of all, the common shortcut for multiplying & dividing decimals by powers of ten: you move the decimal point as many steps as there are zeros in the number 10, 100, 1000 etc. Then, I also show where this shortcut originates, using place value charts.

## Why does dividing by 10, 100 and 1000 work?

The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work…