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.

P lease E xcuse M y D ear A unt S ally This will help to you to remember the order of operations.

Add + Subtract - Multiply x Divide  Please Excuse My Dear Aunt Sally P E MDMD ASAS Parentheses ( ) Exponents 4 3

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

Please Excuse My Dear Aunt Sally Exponents 4 3 Always do Exponents 2 nd.

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

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

Let’s Try Some Problems!

PEMDAS (9+1)

PEMDAS 3 (9+1) (10)+6 2 3(10)

PEMDAS 4+5  (6-2) 4+5 

PEMDAS  

PEMDAS  

PEMDAS  –2 

PEMDAS 64  (9  3-19) 64  (27 –19) 64  8 8

Example #1 14 ÷ = (Divide) = (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 # (6 + 1) 4 = (7) 4(parentheses) = (7) 4(exponents) = (7) 4 (Multiply l/r.) = (Multiply l/r.) = (Subtract l/r.) = (Add l/r.) = 130(Add.)

Which of the following represents · 5 in simplified form? 1.-3, ,996

Simplify (10 - 3) Answ er Now

Simplify 24 – 6 · 4 ÷ 2 Answ er Now

1. substitute the given numbers for each variable. 2. use order of operations to solve. Evaluating a Variable Expression To evaluate a variable expression:

Example # 4 n + (13 - n)  5 for n = 8 = 8 + (13 - 8)  5 (Substitute.) =  5 (parentheses) = (Divide l/r.) = 9 (Add l/r.)

Example # 5 8y - 3x2 + 2n for x = 5, y = 2, n =3 = 8    3 (Substitute.) = 8    3 (exponents) =   3 (Multiply l/r.) =  3 (Multiply l/r.) = (Multiply l/r.) = (Subtract l/r.) = -53 (Add l/r.)

What is the value of -10 – 4x if x = -13? Answ er Now

What is the value of 5k 3 if k = -4? Answ er Now

What is the value of if n = -8, m = 4, and t = 2 ? Answ er Now