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 / 4 Answer • 2+3 x (4+(6 x 3-8)) x2 Answer

9. Resources • Math Goodies • http://www.mathgoodies.com/lessons/vol7/order_operations.html • Amby.com • http://amby.com/educate/ord-op/ • The World of Math Online • http://www.math.com/school/subject2/lessons/S2U1L2GL.html • Fun Brain • http://www.funbrain.com/algebra/index.html • Dositey – Mystery Game • http://www.dositey.com/math/m/mystery2SMA.htm • Aplus Math – Flash Cards • http://www.aplusmath.com/cgi-bin/Flashcards/Order_Of_Operations • AAA Math.com • http://www.aaamath.com/pro73c-order-of-operations.html

10. 3 + 5 x 7 3 + 35 38 Back

11. (1 + 3) x (8 - 4) 4 x (8 – 4) 4 x 4 16 Back

12. 6 - 6 + (7 - 0) – 7 6 – 6 + 7 - 7 0 + 7 – 7 7 – 7 0 Back

13. 4 - 3 + (5 - 1) – 3 4 – 3 + 4 -3 1 + 4 – 3 5 – 3 2 Back

14. 3 + 9 x 8 – 62 3 + 9 X 8 – 36 3 + 72 – 36 75 – 36 39 Back

15. 24 / 6 x 2 x 2 / 4 4 x 2 x 2 / 4 8 x 2 / 4 16 / 4 4 Back

16. 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