Multiplying and dividing

Multiplication is working out how many groups of something you have altogether.
Division is working how many you get, after sharing a number between another number.
You can use place value charts to make multiplying and dividing easier to understand.

Activity: Multiply and divide by 0, 1, 10 and 100
Complete this interactive activity to understand how to multiply and divide by 0, 1, 10 and 100. Then put your knowledge to the test.
Place value, multiplication and division
When you multiply a number by 0, the answer is always 0. When you multiply a number by 1, it just stays the same.
When you multiply a number by 10, it jumps one place to the left in the place value chart.
When you multiply a number by 100, it will jump two places to the left in the place value chart, as you are making it 100 times bigger.

When you divide a number by 10, it jumps one place to the right in the place value chart, because you are making it 10 times smaller.
When you divide a number by 100, it jumps two places to the right in the place value chart, as you are making it 100 times smaller.

The decimal point never moves; the numbers always move around the decimal point.
Example 1

If 15 × 0 = 0 because you have zero groups of fifteen things.
Then what is 0 × 12 = ?
✓0 × 12 = 0
There are 12 groups of zero things, which also equals 0.
Example 2

What is 65 × 100?
✓65 × 100 = 6,500
All the digits must jump two places to the left, to become one hundred times bigger.

Example 3

What is 760 ÷ 100?
✓760 ÷ 100 = 7.6
All the digits must jump two places to the right to become one hundred times smaller.

Game: Place Value
Feeling brave? Travel to the Palace of Place Value in the Guardians: Defenders of Mathematica game to practise your KS2 maths knowledge.
The Palace of Place Value. gameThe Palace of Place Value
In this shield level, use your KS2 place value skills to defeat monsters and reclaim the Kingdom of Mathematica.

Play the full Guardians: Defenders of Mathematica game.
More on Processes in mathematics
Find out more by working through a topic
- count8 of 33

- count9 of 33

- count10 of 33

- count11 of 33
