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

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

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

BBIIDMDMASAS

BRACKETS

DIVIDE or MULTIPLY

from left to right

ADD or SUBTRACT

from left to right

1

1

2

2

3

3

Example 1Example 1

2 2 + + 3 3 44

BBIIDMDMASAS

= = 2 2 ++1122

= = 1144

Step 1 – No bracketsStep 2 – Multiply

Step 3 – Add

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

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

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)

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

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

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

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