Order of Operations

Definition The order in which mathematicians perform math problems. Parenthesis – Working inward Outward Exponents Multiply or Divide – Left to Right Add or Subtract – Left to Right

Please Excuse My Dear Aunt Sally Mnemonic Parenthesis Exponents Multiply or Divide – Left to Right Aunt Sally Add or Subtract – Left to Right

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 3 + 5 x 7 Addition Multiplication Example 1

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 3 + 5 x 7 Multiply 3 + 35 38

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract (1 + 3) x (8 – 4) Parenthesis Multiplication Parenthesis Example 2

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract (1 + 3) x (8 – 4) Parenthesis 4 x (8 – 4) Parenthesis 4 x 4 16 Example 4

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 6 – 6 + (7 – 0) – 7 Subtraction Subtraction Addition Parenthesis Example 3

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 6 – 6 + (7 – 0) – 7 Parenthesis 6 – 6 + 7 – 7 Add or Subtract – Left to Right 0 + 7 – 7 Add or Subtract – Left to Right 7 – 7 Example 5

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 4 – 3 + (5 – 1) – 3 Subtraction Addition Subtraction Parenthesis Example 4

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 4 – 3 + (5 – 1) – 3 Parenthesis 4 – 3 + 4 – 3 Add or Subtract – Left to Right 1 + 4 – 3 Add or Subtract – Left to Right 5 – 3 2

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 3 + 9 x 8 – 62 Addition Subtraction Multiplication Exponents Example 5

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 3 + 9 x 8 – 62 Exponents 3 + 9 X 8 – 36 Multiply 3 + 72 – 36 Add or Subtract – Left to Right 75 – 36 39

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 24 / 6 x 2 x 2 / 4 Division Multiplication Multiplication Division Example 6

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 24 / 6 x 2 x 2 / 4 Divide 4 x 2 x 2 / 4 Multiply 8 x 2 / 4 Multiply 16 / 4 4

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2 x 3 - (4 – 2) + 32 Subtraction Addition Exponents Multiplication Parenthesis Example 7

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2 x 3 - (4 – 2) + 32 Parenthesis 2 x 3 - 2 + 32 Exponents 2 x 3 - 2 + 9 Multiply 6 - 2 + 9 Add or Subtract – Left to Right 4 + 9 13

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 4 X 6 – (3 + 4) + 22 Subtraction Exponents Multiplication Parenthesis Addition Example 8

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 4 X 6 – (3 + 4) + 22 Parenthesis 4 x 6 - 7 + 22 Exponents 4 X 6 – 7 + 4 Multiply 24 – 7 + 4 Add or Subtract – Left to Right 17 + 4 21

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Addition Multiplication Parenthesis Parenthesis Multiplication Example 9

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Parenthesis Example 9

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Subtraction Multiplication

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Parenthesis

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Parenthesis

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Multiply

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Multiply

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86

Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply or Divide Add or Subtract 2+3 x (4+(6 x 3 – 8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86