Download - Objective The student will be able to:
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use the order of operations to
evaluate expressions.
Chapter 1.2
ObjectiveThe student will be able to:
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Evaluate 7 + 4 • 3.Is your answer 33 or 19?
You can get 2 different answers depending on which operation you did first. We want everyone to get the same answer so we must follow the order of operations.
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Remember the phrase“Please Excuse My Dear Aunt Sally”
or PEMDAS.
ORDER OF OPERATIONS1. Parentheses - ( ) or [ ]
2. Exponents or Powers
3. Multiply and Divide (from left to right)
4. Add and Subtract (from left to right)
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Once again, evaluate 7 + 4 3 and use the order of operations.
= 7 + 12 (Multiply.)
= 19 (Add.)
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Example #1
14 ÷ 7 • 2 - 3
= 2 • 2 - 3 (Divide l/r.)
= 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 #320 - 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.)
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Which of the following represents 112 + 18 - 33 · 5 in simplified form?
1. -3,236
2. 4
3. 107
4. 16,996
Answer Now
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Simplify16 - 2(10 - 3)
Answer Now
1. 2
2. -7
3. 12
4. 98
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Simplify24 – 6 · 4 ÷ 2
Answer 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 ExpressionTo 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 # 58y - 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?
Answer Now
1. -62
2. -42
3. 42
4. 52
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What is the value of 5k3 if k = -4?
Answer 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 ?
Answer Now
t
mn2
1. 10
2. -10
3. -6
4. 6