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bidmas order of operations. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

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B B I I DM DM AS AS ORDER OF ORDER OF OPERATIONS OPERATIONS

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Page 1: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

BBIIDMDMASAS

ORDER OF ORDER OF OPERATIONSOPERATIONS

Page 2: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

3 + 2 x 43 + 2 x 4 = 11= 11

= 20= 203 + 2 x 43 + 2 x 4

(3 + 2) x 4 = 20(3 + 2) x 4 = 20

Page 3: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Order of OperationsOrder of Operations

Step 3 Step 3 – Solve addition and – Solve addition and subtraction from left to rightsubtraction from left to right

Step 1 Step 1 – Solve brackets– Solve brackets

Step 2 Step 2 – Solve multiplication and – Solve multiplication and division from left to rightdivision from left to right

Page 4: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

BBIIDMDMASAS

BRACKETS

DIVIDE or MULTIPLY

from left to right

ADD or SUBTRACT

from left to right

1

1

2

2

3

3

Page 5: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 1Example 1

2 2 + + 3 3 44

BBIIDMDMASAS

= = 2 2 ++1122

= = 1144

Step 1 – No bracketsStep 2 – Multiply

Step 3 – Add

Page 6: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 2Example 2

2 2 + + 3 3 4 4 22

BBIIDMDMASAS

= = 2 2 + + 1122

= = 2 2 ++

= = 88

2266

Step 1 – No brackets

Step 2 – Multiply then divide

Step 3 - Add

Page 7: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 3Example 3

2 2 3 3 -- (( 44 + + 22 ) )

BBIIDMDMASAS

= 2 = 2 3 3 --

= = 66

= = 00

66

-- 6 6

Step 1 – Solve Brackets

Step 2 - Multiply

Step 3 - Subtract

Page 8: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

BBIIDMDMASAS

If you have mastered the If you have mastered the order of operations so far, order of operations so far, let’s add the final piece ...let’s add the final piece ...

INDICES (Squares, Cubes & Other Powers)

Page 9: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Order of Operations Order of Operations RevisedRevised

Step 4 Step 4 – Solve addition and – Solve addition and subtraction from left to rightsubtraction from left to right

Step 1 Step 1 – Solve brackets– Solve brackets

Step 3 Step 3 – Solve multiplication and – Solve multiplication and division from left to rightdivision from left to right

Step 2 Step 2 – Solve indices– Solve indices

Page 10: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 4Example 4

7 7 + + 101022 33

BBIIDMDMASAS

= = 7 7 ++ 33

= = 307307

Step 1 – No bracketsStep 2 – Solve index

Step 3 – Multiply100100

= = 7 7 ++ 300300Step 4 – Add

Page 11: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 5Example 5

2233 (( 48 48 6 6 )) -- 8 8

BBIIDMDMASAS

= = 2233 88

= = 88

= = 5656

-- 8 8Step 1 – Solve brackets

Step 2 – Solve index

Step 3 - Multiply 88 - - 88= = 6464 -- 8 8

Step 4 - Subtract

Page 12: BIDMAS ORDER OF OPERATIONS. 3 + 2 x 4 = 11 = 20 3 + 2 x 4 (3 + 2) x 4 = 20

Example 6Example 6

7 7 4 4 ++ (( 55 – – 12 12 66 ) ) 2 2

BBIIDMDMASAS

= 7 = 7 4 4 ++ (( 55 – –22 ) ) 2 2Step 1 – Brackets: divide then subtract

Step 2 – Solve index = 7 = 7 4 4 ++ 33 2 2

= 7 = 7 4 4 ++ 99Step 3 – Multiply

= = 2828 + + 99= = 3737 Step 4 – Add


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