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