PEMDAS:
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
Rules for Order of Operations:
1: First perform any calculations inside parentheses.
2: Next perform exponents.
3: Next perform all multiplications and divisions, working from left to right.
4: Lastly, perform all additions and subtractions, working from left to right.
Examples:
- 2 + 3 x 4
= 2 + 3 x 4 ------ Multiplication
= 2 + 12 ------- Addition
= 14
- 32 � 16 - 2
= 32 � 16 - 2 -------- Division
= 2 - 2 ------- Subtraction
= 0
- (12 - 10) x 5
= (12 - 10) x 5 ------- Parentheses
= 2 x 5 ------- Multiplication
= 10
- 2 + 2 x (1 + 2) � 3 - 7
=2 + 2 x (1 + 2) � 3 - 7 ------- Parentheses
=2 + 2 x 3 � 3 - 7 --------Multiplication
=2 + 6 � 3 - 7 ------- Division
=2 + 2 - 7 -------- Addition
= 4 - 7 ------- Subtraction
= -3
- 32-2(4-2)+32
=32-2(4-2)+32 ----- parenthesis
=32-2(2)+32
=32-2(2)+32 ------- exponents
= 9 - 2(2) + 9 ------- multiplication, adding and subtracting
= 9 - 4 + 9
= 14
- -22+ 4 + 2
= -4 + 4 + 2 ----- exponents
=2
- (-2)2+ 4 + 2
= 4 + 4 + 2 ----- exponents
=10
Directions: Evaluate each expression using the correct order of operations. Also write at least 5 examples of your own.
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