Order of Operations

1. Order of Operations

2. 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

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

4. Parenthesis Multiplication Exponents Addition Subtraction Example 1: 2 x 3 - (4-2) + 32

5. 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

6. Parenthesis Multiplication Exponents Addition Subtraction Example 2: 4 X 6 – (3 + 4) + 22

7. 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

8. Practice Problems 3 + 5 x 7 Answer (1 + 3) x (8 - 4) Answer 6 - 6 + (7 - 0) - 7 Answer 4 - 3 + (5 - 1) - 3 Answer 3 + 9 x 8 – 62 Answer 24 6 x 2 x 2 Answer 2+3 x (4+(6 x 3-8)) x2 Answer

9. 3 + 5 x 7 3 + 35 38 Back

10. (1 + 3) x (8 - 4) 4 x (8 – 4) 4 x 4 16 Back

11. 6 - 6 + (7 - 0) – 7 6 – 6 + 7 - 7 0 + 7 – 7 7 – 7 0 Back

12. 4 - 3 + (5 - 1) – 3 4 – 3 + 4 -3 1 + 4 – 3 5 – 3 2 Back

13. 3 + 9 x 8 – 62 3 + 9 X 8 – 36 3 + 72 – 36 75 – 36 39 Back

14. 24 / 6 x 2 x 2 4 x 2 x 2 8 x 2 16 Back

15. 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 Back