Order of Operations:
The steps used to evaluate a numerical expression:
1) Simplify the expressions inside grouping symbols. ( ) , [ ]
2) Evaluate all powers.
3) Do all multiplications and/or divisions from left to right.
4) Do all additions and/or subtractions from left to right.
PEMDAS represents the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Example :
18 – (4 + 2) + (6 × 5) ÷ 3 = [Parentheses first]
Notice: There are no Exponents in this expression.
18 – 6 + 30 ÷ 3 = [Multiplication/Division left to right next]
18 – 6 + 10 = 22 [Addition/Subtraction left to right next]
When there are multiple grouping symbols, always work on the innermost grouping symbols first
( ) = Parentheses [ ] = Brackets
Example: [(7 – 2) × 3] ÷ [4 + (2 ÷ 2)] – 7 × 0
Start with [(7 – 2)] and (2 ÷ 2) as these are the operations in the innermost grouping symbols.
