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ORDER OF OPERATIONS BIDMAS
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3 + 2 x 4 = 11 3 + 2 x 4 = 20 (3 + 2) x 4 = 20
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Order of Operations Step 1 – Solve brackets
Step 2 – Solve multiplication and division from left to right Step 3 – Solve addition and subtraction from left to right
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BIDMAS 1 2 3 BRACKETS 1 DIVIDE or MULTIPLY from left to right 2
ADD or SUBTRACT from left to right 3
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BIDMAS = 2 + 12 = 14 Example 1 2 + 3 4 Step 1 – No brackets
Step 2 – Multiply = 2 + 12 Step 3 – Add = 14
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BIDMAS = 2 + 12 2 = 2 + = 8 Example 2 2 + 3 4 2 6
Step 1 – No brackets Step 2 – Multiply then divide = 2 + 12 2 = 2 + 6 Step 3 - Add = 8
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BIDMAS 6 Example 3 2 3 - ( 4 + 2 ) = 2 3 - = 6 - 6 = 0
Step 1 – Solve Brackets = 2 3 - 6 Step 2 - Multiply = 6 - 6 Step 3 - Subtract = 0
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If you have mastered the order of operations so far, let’s add the final piece ...
BIDMAS INDICES (Squares, Cubes & Other Powers)
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Order of Operations Revised
Step 1 – Solve brackets Step 2 – Solve indices Step 3 – Solve multiplication and division from left to right Step 4 – Solve addition and subtraction from left to right
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BIDMAS = 7 + 100 = 7 + 300 = 307 Example 4 7 + 102 3 3
Step 1 – No brackets Step 2 – Solve index = 7 + 100 3 Step 3 – Multiply = 7 + 300 Step 4 – Add = 307
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BIDMAS = 23 8 - 8 = 8 8 - 8 = 64 - 8 = 56 Example 5
23 ( 48 6 ) - 8 Step 1 – Solve brackets = 23 8 - 8 Step 2 – Solve index = 8 8 - 8 Step 3 - Multiply = 64 - 8 Step 4 - Subtract = 56
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BIDMAS 2 ) 2 3 2 9 + 9 = 37 Example 6 7 4 + ( 5 – 12 6 ) 2
Step 1 – Brackets: divide then subtract = 7 4 + ( 5 – 2 ) 2 = 7 4 + 3 2 Step 2 – Solve index = 7 4 + 9 Step 3 – Multiply = 28 + 9 = 37 Step 4 – Add
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