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Order of Operations ( ) + X - 4343

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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 3+2 3 - (9+1) 3+2 3 - 10 3+8-10 11-10 1

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PEMDAS 3 (9+1) + 6 2 3(10)+6 2 3(10)+36 30+36 66

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

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PEMDAS 4+ 10 2 3 -16 4+10 8 -16 4+ 80 -16 84-16 68

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PEMDAS 21 + 10 2 10 21+100 10 21 + 10 31

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PEMDAS 10+7 2 -2 5 10+49–2 5 10+49- 10 59 - 10 49

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PEMDAS 64 (9 3-19) 64 (27 –19) 64 8 8

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Example #1 14 ÷ 7 2 - 3 = 2 2 - 3 (Divide) = 4 - 3 (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 #3 20 - 3 6 + 10 2 + (6 + 1) 4 = 20 - 3 6 + 10 2 + (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.)

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Which of the following represents 11 2 + 18 - 3 3 · 5 in simplified form? 1.-3,236 2.4 3.107 4.16,996

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Simplify 16 - 2(10 - 3) Answ er Now 1.2 2.-7 3.12 4.98

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Simplify 24 – 6 · 4 ÷ 2 Answ er Now 1.72 2.36 3.12 4.0

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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.) = 8 + 5 5 (parentheses) = 8 + 1 (Divide l/r.) = 9 (Add l/r.)

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Example # 5 8y - 3x2 + 2n for x = 5, y = 2, n =3 = 8 2 - 3 52 + 2 3 (Substitute.) = 8 2 - 3 25 + 2 3 (exponents) = 16 - 3 25 + 2 3 (Multiply l/r.) = 16 - 75 + 2 3 (Multiply l/r.) = 16 - 75 + 6 (Multiply l/r.) = -59 + 6 (Subtract l/r.) = -53 (Add l/r.)

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What is the value of -10 – 4x if x = -13? Answ er Now 1.-62 2.-42 3.42 4.52

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What is the value of 5k 3 if k = -4? Answ er Now 1.-8000 2.-320 3.-60 4.320

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What is the value of if n = -8, m = 4, and t = 2 ? Answ er Now 1.10 2.-10 3.-6 4.6

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Evaluating a Variable Expression To evaluate a variable expression:

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