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

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

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

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

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

Practice Problems 3 + 5 x 7 (1 + 3) x (8 - 4) 6 - 6 + (7 - 0) - 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(4+10)x2 Answer

Resources Math Goodies Amby.com The World of Math Online Fun Brain 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

3 + 5 x 7 3 + 35 38 Back

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

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

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

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

24 ÷ 6 x 2 x 2 ÷ 4 4 x 2 x 2 8 x 2 16 Back

2+3(4+10)x2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Back