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Order of Operations ( ) + X

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

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

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

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

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

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

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

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Let’s Try Some Problems!

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PEMDAS (9+1)

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

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PEMDAS 4+5 (6-2) 4+5

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PEMDAS

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PEMDAS

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PEMDAS –2

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PEMDAS 64 (9 3-19) 64 (27 –19) 64 8 8

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Example #1 14 ÷ = (Divide) = (Multiply.) = 1(Subtract.)

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

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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.)

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

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Simplify (10 - 3) Answ er Now

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Simplify 24 – 6 · 4 ÷ 2 Answ er Now

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

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

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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.)

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

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

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

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