Question

How to evaulate the expression using order of operations

Answer 1

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.