Multiplying and Dividing in 10s

## Multiplying and Dividing in 10s

Multiplying by 10, 100, 1000, moves the digits in each column (units, 10s, 100s, etc) to the left:

• multiplying by 10 moves all the digits 1 column to the left;

• multiplying by 100 moves the digits 2 columns to the left;

• multiplying by 1000 moves the digits 3 columns to the left.

10 000 1 000 100 10 1
2 6
2 6 0 x10
2 6 0 0 x100
2 6 0 0 0 x1000

Dividing by 10, 100, 1000 moves the digits in each column to the right:

• dividing by 10 moves them 1 digit to the right;

• dividing by 100 is 2 digits right;

• dividing by 1000 is 3 digits right.

10 000 1 000 100 10 1
4 9 0 0 0
4 9 0 0 ÷10
4 9 0 ÷100
4 9 ÷1000

The same is true for decimal numbers. The digits move and the decimal point stays in the same place.

1000 100 10 1 frac(1)(10) frac(1)(100) frac(1)(1000)
3 . 0 1 2
3 0 . 1 2 0 x10
3 0 1 . 2 x100
3 0 1 2 . 0 x1000

100 10 1 frac(1)(10) frac(1)(100)
4 9 0 . 0
4 9 . 0 ÷10
4 . 9 ÷100
0 . 4 9 ÷1000

## Example 1

What is 34 x 100?

Move the 34 two digits to the left, filling the empty spaces with zeroes.