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… why …? What is 2 + 6 x 3 ? Who is right? 2 + 6 2 + 6 x 3 = 2 + 18 = 24 20 Mr Madas in Year 7 … why …? © T Madas

We do not work out operations as we come to them We always follow this order multiplications & divisions additions & subtractions First then © T Madas

multiplications & divisions First then additions & subtractions 23 2 + 3 x 7 = 3 x 7 2 + 21 = 15 18 – 12 ÷ 4 = 12 ÷ 4 18 – 3 = 47 42 + 30 ÷ 6 = 30 ÷ 6 42 + 5 = 1 19 – 2 x 9 = 2 x 9 19 – 18 = 20 4 x 50 ÷ 10 = 50 ÷ 10 4 x 5 = You must set your work this way © T Madas

multiplications & divisions First then additions & subtractions 19 2 + 4 x 3 + 5 = 4 x 3 2 + 12 + 5 = 15 9 + 12 ÷ 4 + 3 = 12 ÷ 4 9 + 3 + 3 = 3 5 + 30 ÷ 6 – 7 = 30 ÷ 6 5 + 5 – 7 = 10 19 – 2 x 7 + 5 = 2 x 7 19 – 14 + 5 = 6 9 – 50 ÷ 10 + 2 = 50 ÷ 10 9 – 5 + 2 = You must set your work this way © T Madas

This calculator does not know the order of operations pocket calculator scientific calculator This calculator knows the order of operations © T Madas

Practice on the Order of Operations © T Madas

C a l c u l a t e : ÷ x then + – 60 4 + 8 x 7 = 8 x 7 4 + 56 = 10 20 – 40 ÷ 4 = 40 ÷ 4 20 – 10 = 14 7 + 28 ÷ 4 = 28 ÷ 4 7 + 7 = 5 29 – 3 x 8 = 3 x 8 29 – 24 = 20 8 x 25 ÷ 10 = 25 ÷ 10 8 x 2.5 = 56 7 + 7 x 7 = 7 x 7 7 + 49 = 36 8 x 4 8 x 4 + 36 ÷ 9 = 36 ÷ 9 32 + 4 = © T Madas

C a l c u l a t e : ÷ x then + – 25 1 + 8 x 3 = 8 x 3 1 + 24 = 13 18 – 20 ÷ 4 = 20 ÷ 4 18 – 5 = 11 6 + 25 ÷ 5 = 25 ÷ 5 6 + 5 = 12 17 – 3 x 3 = 3 x 3 17 – 9 = 21 3 + 4 x 3 + 6 = 4 x 3 3 + 12 + 6 = 13 8 + 12 ÷ 4 + 2 = 12 ÷ 4 8 + 3 + 2 = 8 4 + 30 ÷ 6 – 1 = 30 ÷ 6 4 + 5 – 1 = © T Madas

C a l c u l a t e : 40 7 14 1 2 4 7 ÷ x + – 4 + 6 x 6 = 6 x 6 4 + 36 = then + – 40 4 + 6 x 6 = 6 x 6 4 + 36 = 7 20 – 26 ÷ 2 = 26 ÷ 2 20 – 13 = 14 5 + 36 ÷ 4 = 36 ÷ 4 5 + 9 = 1 49 – 6 x 8 = 6 x 8 49 – 48 = 2 2 + 42 ÷ 6 – 7 = 42 ÷ 6 2 + 7 – 7 = 4 35 – 6 x 6 + 5 = 6 x 6 35 – 36 + 5 = 7 8 – 30 ÷ 10 + 2 = 30 ÷ 10 8 – 3 + 2 = © T Madas

C a l c u l a t e : ÷ x then + – 39 4 + 5 x 7 = 5 x 7 4 + 35 = 8 14 – 24 ÷ 4 = 24 ÷ 4 14 – 6 = 15 9 + 18 ÷ 3 = 18 ÷ 3 9 + 6 = 15 27 – 3 x 4 = 3 x 4 27 – 12 = 16 4 x 12 ÷ 3 = 12 ÷ 3 4 x 4 = 20 4 + 4 x 4 = 4 x 4 4 + 16 = 40 7 x 5 7 x 5 + 45 ÷ 9 = 45 ÷ 9 35 + 5 = © T Madas

C a l c u l a t e : ÷ x then + – 32 5 + 3 x 9 = 3 x 9 5 + 27 = 6 10 – 16 ÷ 4 = 16 ÷ 4 10 – 4 = 14 9 + 35 ÷ 7 = 35 ÷ 7 9 + 5 = 4 36 – 4 x 8 = 4 x 8 36 – 32 = 7 2 x 35 ÷ 10 = 35 ÷ 10 2 x 3.5 = 90 9 + 9 x 9 = 9 x 9 9 + 81 = 53 5 x 9 5 x 9 + 72 ÷ 9 = 72 ÷ 9 45 + 8 = © T Madas

( ) Brackets © T Madas

Calculate this sum ( ) then ÷ x then + – 2 + 3 x 7 = 3 x 7 2 + 21 = 23 How do we write this if we want the addition to take place before the multiplication? ( ) 2 + 3 x 7 = 5 x 7 = 35 Do the sum inside the bracket first © T Madas

Examples ( ) ÷ x + – (2 + 3) x 4 = ( ) 5 x 4 = 20 9 x (17 – 12) = ( ) then ÷ x then + – (2 + 3) x 4 = ( ) 5 x 4 = 20 9 x (17 – 12) = ( ) 9 x 5 = 45 20 ÷ (16 – 12) = ( ) 20 ÷ 4 = 5 (6 + 4) x (18 – 6) = ( ) ( ) 10 x 12 = 120 You must set your work this way © T Madas

The Order Of Operations B I D M A S Brackets Indices Division Addition Subtraction Multiplication Powers © T Madas

BIDMAS Practice © T Madas

Calculate: ( ) ÷ x + – 8 x (5 + 3) = ( ) 8 x 8 = 64 7 x (8 – 4) + 4 = then ÷ x then + – 8 x (5 + 3) = ( ) 8 x 8 = 64 7 x (8 – 4) + 4 = ( ) 7 x 4 7 x 4 + 4 = 28 + 4 = 32 72 ÷ (5 + 7) = ( ) 72 ÷ 12 = 6 80 ÷ (5 x 8) = ( ) 80 ÷ 40 = 2 11 x (5 + 3) – 8 = ( ) 11 x 8 11 x 8 – 8 = 88 – 8 = 80 30 ÷ (5 + 1) = ( ) 30 ÷ 6 = 5 60 ÷ (5 x 6) = ( ) 60 ÷ 30 = 2 9 x (2 + 3) – 5 = ( ) 9 x 5 – 5 = 9 x 5 45 – 5 = 40 © T Madas

Calculate: ( ) ÷ x + – 4 x (5 + 4) = ( ) 4 x 9 = 36 8 x (7 – 4) + 5 = then ÷ x then + – 4 x (5 + 4) = ( ) 4 x 9 = 36 8 x (7 – 4) + 5 = ( ) 8 x 3 8 x 3 + 5 = 24 + 5 = 29 40 ÷ (2 + 3) = ( ) 40 ÷ 5 = 8 90 ÷ (3 x 6) = ( ) 90 ÷ 18 = 5 12 x (5 + 1) – 8 = ( ) 12 x 6 12 x 6 – 8 = 72 – 8 = 64 36 ÷ (9 – 3) = ( ) 36 ÷ 6 = 6 48 ÷ (8 x 2) = ( ) 48 ÷ 16 = 3 7 x (2 + 3) – 4 = ( ) 7 x 5 7 x 5 – 4 = 35 – 4 = 31 © T Madas

BIDMAS with Indices © T Madas

Calculate: ( ) then a 2 then ÷ x then + – ( ) ( ) ( ) © T Madas

Calculate: ( ) then a 2 then ÷ x then + – ( ) ( ) ( ) © T Madas

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C a l c u l a t e : ÷ x then + – 60 4 + 8 x 7 = 8 x 7 4 + 56 = 10 20 – 40 ÷ 4 = 40 ÷ 4 20 – 10 = 14 7 + 28 ÷ 4 = 28 ÷ 4 7 + 7 = 5 29 – 3 x 8 = 3 x 8 29 – 24 = 20 8 x 25 ÷ 10 = 25 ÷ 10 8 x 2.5 = 56 7 + 7 x 7 = 7 x 7 7 + 49 = 36 8 x 4 8 x 4 + 36 ÷ 9 = 36 ÷ 9 32 + 4 = © T Madas

C a l c u l a t e : ÷ x then + – 25 1 + 8 x 3 = 8 x 3 1 + 24 = 13 18 – 20 ÷ 4 = 20 ÷ 4 18 – 5 = 11 6 + 25 ÷ 5 = 25 ÷ 5 6 + 5 = 12 17 – 3 x 3 = 3 x 3 17 – 9 = 21 3 + 4 x 3 + 6 = 4 x 3 3 + 12 + 6 = 13 8 + 12 ÷ 4 + 2 = 12 ÷ 4 8 + 3 + 2 = 8 4 + 30 ÷ 6 – 1 = 30 ÷ 6 4 + 5 – 1 = © T Madas

C a l c u l a t e : 40 7 14 1 2 4 7 ÷ x + – 4 + 6 x 6 = 6 x 6 4 + 36 = then + – 40 4 + 6 x 6 = 6 x 6 4 + 36 = 7 20 – 26 ÷ 2 = 26 ÷ 2 20 – 13 = 14 5 + 36 ÷ 4 = 36 ÷ 4 5 + 9 = 1 49 – 6 x 8 = 6 x 8 49 – 48 = 2 2 + 42 ÷ 6 – 7 = 42 ÷ 6 2 + 7 – 7 = 4 35 – 6 x 6 + 5 = 6 x 6 35 – 36 + 5 = 7 8 – 30 ÷ 10 + 2 = 30 ÷ 10 8 – 3 + 2 = © T Madas

C a l c u l a t e : ÷ x then + – 39 4 + 5 x 7 = 5 x 7 4 + 35 = 8 14 – 24 ÷ 4 = 24 ÷ 4 14 – 6 = 15 9 + 18 ÷ 3 = 18 ÷ 3 9 + 6 = 15 27 – 3 x 4 = 3 x 4 27 – 12 = 16 4 x 12 ÷ 3 = 12 ÷ 3 4 x 4 = 20 4 + 4 x 4 = 4 x 4 4 + 16 = 40 7 x 5 7 x 5 + 45 ÷ 9 = 45 ÷ 9 35 + 5 = © T Madas

C a l c u l a t e : ÷ x then + – 32 5 + 3 x 9 = 3 x 9 5 + 27 = 6 10 – 16 ÷ 4 = 16 ÷ 4 10 – 4 = 14 9 + 35 ÷ 7 = 35 ÷ 7 9 + 5 = 4 36 – 4 x 8 = 4 x 8 36 – 32 = 7 2 x 35 ÷ 10 = 35 ÷ 10 2 x 3.5 = 90 9 + 9 x 9 = 9 x 9 9 + 81 = 53 5 x 9 5 x 9 + 72 ÷ 9 = 72 ÷ 9 45 + 8 = © T Madas

Calculate: ( ) ÷ x + – 8 x (5 + 3) = ( ) 8 x 8 = 64 7 x (8 – 4) + 4 = then ÷ x then + – 8 x (5 + 3) = ( ) 8 x 8 = 64 7 x (8 – 4) + 4 = ( ) 7 x 4 7 x 4 + 4 = 28 + 4 = 32 72 ÷ (5 + 7) = ( ) 72 ÷ 12 = 6 80 ÷ (5 x 8) = ( ) 80 ÷ 40 = 2 11 x (5 + 3) – 8 = ( ) 11 x 8 11 x 8 – 8 = 88 – 8 = 80 30 ÷ (5 + 1) = ( ) 30 ÷ 6 = 5 60 ÷ (5 x 6) = ( ) 60 ÷ 30 = 2 9 x (2 + 3) – 5 = ( ) 9 x 5 – 5 = 9 x 5 45 – 5 = 40 © T Madas

Calculate: ( ) ÷ x + – 4 x (5 + 4) = ( ) 4 x 9 = 36 8 x (7 – 4) + 5 = then ÷ x then + – 4 x (5 + 4) = ( ) 4 x 9 = 36 8 x (7 – 4) + 5 = ( ) 8 x 3 8 x 3 + 5 = 24 + 5 = 29 40 ÷ (2 + 3) = ( ) 40 ÷ 5 = 8 90 ÷ (3 x 6) = ( ) 90 ÷ 18 = 5 12 x (5 + 1) – 8 = ( ) 12 x 6 12 x 6 – 8 = 72 – 8 = 64 36 ÷ (9 – 3) = ( ) 36 ÷ 6 = 6 48 ÷ (8 x 2) = ( ) 48 ÷ 16 = 3 7 x (2 + 3) – 4 = ( ) 7 x 5 7 x 5 – 4 = 35 – 4 = 31 © T Madas

Calculate: ( ) then a 2 then ÷ x then + – ( ) ( ) ( ) © T Madas

Calculate: ( ) then a 2 then ÷ x then + – ( ) ( ) ( ) © T Madas

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