Multiplying and dividing by 10, 100, 1000

Skill 1: Multiplying by 10, 100, 1000

When multiplying by $10, 100, 1000$ move the decimal place to the right, the same number of places as zeros in the number.

Multiplying by $10$ – decimal place $1$ space to the right

Multiplying by $100$ – decimal place $2$ space to the right

Multiplying by $1000$ – decimal place $3$ space to the right

Example: Calculate $327 times 100$

Here we need to more the decimal place 2 spaces to the right, writing zeros in any new places created.

After moving the decimal place 2 spaces to the right and add the zeros in the spaces created, this gives the answers $32700$

$327 times 100 = 32700$

Skill 2: Dividing by 10, 100, 1000

When Dividing by $10, 100, 1000$ move the decimal place to the left, the same number of places as zeros in the number.

Multiplying by $10$ – decimal place $1$ space to the left

Multiplying by $100$ – decimal place $2$ space to the left

Multiplying by $1000$ – decimal place $3$ space to the left

Example: Calculate $1234 div 1000$

Here we need to more the decimal place 3 spaces to the left.

The decimal place is moved three places to the left.

This gives the answer to be $1.234$

$1234 div 1000 = 1.234$