Think about this… What would happen if there were no rules for driving? What would happen if there were no rules for solving math problems?

What’s wrong? Look at both of the problems. Notice the difference in the way they are solved. Which one do you think is correct?

43 Order of Operations  ( ) + - X

The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.

Please Excuse My Dear Aunt Sally This will help you to remember the order of operations.

Please Excuse My Dear Aunt Sally Parentheses ( ) E Exponents 43 M D Multiply x Divide  A S Add + Subtract -

Please Excuse My Dear Aunt Sally Parentheses ( ) Always do parentheses 1st.

Please Excuse My Dear Aunt Sally Exponents 43 Always do Exponents 2nd.

Please Excuse My Dear Aunt Sally Multiply x Divide  Do multiplication and division 3rd, from left to right.

Please Excuse My Dear Aunt Sally Add + Subtract - Do addition and subtraction 4th, from left to right.

Let’s Try Some  Problems!

PEMDAS 3+23- (9+1) 3+23- 10 3+8-10 11-10 1

PEMDAS 3 (9+1) + 62 3(10)+62 3(10)+36 30+36 66

PEMDAS 4+5 x (6-2) 4+5 x 4 4+20 24

PEMDAS 4+ 10 x 23 -16 4+10 x 8 -16 4+ 80 -16 84-16 68

PEMDAS 21 + 102  10 21+10010 21 + 10 31

PEMDAS 10+72-2 x 5 10+49–2 x 5 10+49- 10 59 - 10 49

Practice Problems 3 + 5 x 7 (1 + 3)  (8 – 4) 6 – 6 + (7 – 0) – 7 4 – 3 + (5 – 1) – 3 3 + 9  8 – 62 24 ÷ 6  2  2 ÷ 4 2 + 3  [4 + (6  3 – 8)]  2

Answers to Practice Problems 1. 3 + 5 x 7 2. (1 + 3)  (8 – 4) 3 + 5  7 3 + 35 38 (1 + 3)  (8 – 4) 4  (8 – 4) 4  4 16

Answers to Practice Problems 3. 6 – 6 + (7 – 0) – 7 4. 4 – 3 + (5 – 1) – 3 6 – 6 + (7 – 0) – 7 6 – 6 + 7 – 7 0 + 7 – 7 7 – 7 0 4 – 3 + (5 – 1) – 3 4 – 3 + 4 – 3 1 + 4 – 3 5 – 3 2

Answers to Practice Problems 5. 3 + 9  8 – 62 6. 24 ÷ 6  2  2 ÷ 4 3 + 9  8 – 62 3 + 72 – 62 75 – 62 13 24 ÷ 6  2  2 ÷ 4 4  2  2 ÷ 4 8  2 ÷ 4 16 ÷ 4 4

Answers to Practice Problems 2 + 3  [4 + (6  3 – 8)]  2 2 + 3  [4 + (18 – 8)]  2 2 + 3  [4 + 10]  2 2 + 3  14  2 2 + 42  2 2 + 84 86

Websites http://www.teach-nology.com/worksheets/math/order/ http://www.aplusmath.com/cgi-bin/Flashcards/Order_Of_Operations http://www.funbrain.com/algebra/index.html http://www.theteacherscorner.net/printable-worksheets/make-your-own/math-worksheets/algebra/order-of-operations.php http://www.teach-nology.com/worksheets/math/order/

Example #1 14 ÷ 7 • 2 - 3 = 2 • 2 - 3 (Divide l/r.) = 4 - 3 (Multiply.) = 1 (Subtract.)

Example #2 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5 (parentheses) = 3(100) ÷ 5 (exponents) = 300 ÷ 5 (multiplication) = 60 (division)

Example #3 20 - 3 • 6 + 102 + (6 + 1) • 4 = 20 - 3 • 6 + 102 + (7) • 4 (parentheses) = 20 - 3 • 6 + 100 + (7) • 4 (exponents) = 20 - 18 + 100 + (7) • 4 (Multiply l/r.) = 20 - 18 + 100 + 28 (Multiply l/r.) = 2 + 100 + 28 (Subtract l/r.) = 102 + 28 (Add l/r.) = 130 (Add.)

Which of the following represents 112 + 18 - 33 · 5 in simplified form? -3,236 4 107 16,996 Answer Now

Simplify 16 - 2(10 - 3) 2 -7 12 98 Answer Now

Simplify 24 – 6 · 4 ÷ 2 72 36 12 Answer Now