1. It will make your work easier – when you multiply when you divide
Look for patterns
It will make your work easier –
when you multiply
when you divide

2. Multiplications
40,000
4,000
400 40 4
0.4
0.04
0.004
4  10,000
4  1,000
4 
4 
4 
4 
4 
4 
2  20,000
2  2,000
2 
2 
2 
2 
2 
2 
1000% of 4
100% of 4
10% of 4
1% of 4
0.1% of 4

3. Dividing by 0.5 You multiply by 2 0.5 is the same as 1/2
It will help to think of 0.5 as 50p (£0.50) or half a pound
How many 50p’s in £1?
0.5 = 1/2
This question can be written as a calculation: 1  0.5 or 1  1/2
The answer would be the same: 2
You multiply by 2

4. Multiplications ½    2  50%   0.5  ½  160,000 ½  16,000
½  16,000
½  1,600
½ 
½ 
½ 
½ 
½ 
80,000
8,000
800 80 8
0.8
0.08
0.008
50%  160,000
50%  16,000
50%  1,600
50% 
50% 
50% 
50% 
50% 
4  20,000
4  2,000
4 
4 
4 
4 
4 
4 
0.5  160,000
0.5  16,000
0.5  1,600
0.5 
0.5 
0.5 
0.5 
0.5 
½    2  50%   0.5 

5. Dividing by 0.1 You multiply by 10 0.1 is the same as 1/10
It will help to think of 0.1 as 10p (£0.10) or 1/10 of a pound
How many 10p’s in £1?
0.1 = 1/10
This question can be written as a calculation: 1  0.1 or 1  1/10
The answer would be the same: 10
You multiply by 10

6. Remember 1/10    10  10%   0.1   0.1  1  10  100  1000   
 1000
 1/10
 1/10
 1/100
 1/1000
 1000%
 100%
 %
 %
 %
 10
 1
 0.1  
1/10    10  10%   0.1 

7. Dividing by 0.5 Multiplying by 2 0.5 is the same as 1/2
It will help to think of 0.5 as 50p (£0.50) or half a pound
0.5 is the same as 1/2
How many 50p’s in £3?
This question can be written as a calculation: 3  0.5
The answer would be the same: 6
Multiplying by 2

8. Dividing by 0.2 Multiplying by 5 0.2 is the same as 1/5
It will help to think of 0.2 as 20p (£0.20)
0.2 is the same as 1/5
How many 20p’s in £4?
This question can be written as a calculation: 4  0.2
The answer would be the same: 20
Multiplying by 5

9. Dividing by 0.3 If you had to do this division: 660  0.3
Don’t panic! But think of patterns
You can work out 660  3  How many £3 in £660
So how many 30p’s in £660?
Is you answer going to be: 22, or ?

10. Recap 1/10 is one tenth 0.1 is one tenth 1/5 is one fifth
1/4 is one quarter
1/2 is one half
0.1 is one tenth
0.2 is one fifth
0.25 is one quarter
0.5 is one half
 0.1 is the same as  1/10
 0.2 is the same as  1/5
 0.25 is the same as  1/4
 0.5 is the same as  1/2
  10
  5
  4
  2

11. Recap  0.1 is the same as  1/10   10  0.2 is the same as  1/5
  5
  4
  2