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

Multiplications 40,000 4,000 400 40 4 0.4 0.04 0.004 4  10,000 4  1,000 4  100 4  10 4  1 4  0.1 4  0.01 4  0.001 2  20,000 2  2,000 2  200 2  20 2  2 2  0.2 2  0.02 2  0.002 1000% of 4 100% of 4 10% of 4 1% of 4 0.1% of 4

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

Multiplications ½    2  50%   0.5  ½  160,000 ½  16,000 ½  16,000 ½  1,600 ½  160 ½  16 ½  1.6 ½  0.16 ½  0.016 80,000 8,000 800 80 8 0.8 0.08 0.008 50%  160,000 50%  16,000 50%  1,600 50%  160 50%  16 50%  1.6 50%  0.16 50%  0.016 4  20,000 4  2,000 4  200 4  20 4  2 4  0.2 4  0.02 4  0.002 0.5  160,000 0.5  16,000 0.5  1,600 0.5  160 0.5  16 0.5  1.6 0.5  0.16 0.5  0.016 ½    2  50%   0.5 

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

Remember 1/10    10  10%   0.1   0.1  1  10  100  1000  0.1  1  10  100  1000  1/10  1/10  1/100  1/1000  1000%  100%  10%  1%  0.1%  10  1  0.1  0.01  0.001 1/10    10  10%   0.1 

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

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

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, 220 or 2200?

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

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