1. Order of Operations 1-2
Objective: Students will evaluate numerical expressions and algebraic expressions using the order of operations.
S. Calahan
2008

2. Please Excuse My Dear Aunt Sally
P – do parentheses or grouping symbols first.
E – Exponents
M & D – do multiplication/division from left to right in the order it appears.
A & S – do Addition/Subtraction from left to right in the order it appears.
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3. 3+ 2 • 3 + 5 3 + 6 + 5 = 9 + 5 = 14 Evaluate Expressions
Multiply 2 • 3 first: 6
= = 14
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4. 15 ÷ 3 • 5 – 42 exponent first 15 ÷ 3 • 5 – 16 now division
15 ÷ 3 •
15 ÷ 3 • 5 – exponent first
15 ÷ 3 • 5 – now division
5 • 5 – 16 = = 9
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5. 2(5) + 3(4 + 3) parentheses first
2(5) + 3(7) multiply from left to right
= 31
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6. 2[5 + (30 ÷ 6)2] parentheses first 2(5 + 52) now exponents
2(5 +25)= 2(30) = 60
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7. 22 = 11 36 18 6 +16 add the numerator 9 • 4 multiply the denominator
exponents first 32 • 4
add the numerator
9 • multiply the denominator
22 = 11
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8. Evaluate an Algebraic Expressions
a2 – (b3 – 4c)
if a = 7, b = 3 and c = 5
Substitute: 72 – (33 – 4 • 5)
Now follow the order of operation:
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9. 72 – (33 – 4 • 5) parentheses exponent first
72 – (27 – 4 • 5) multiply in parentheses
72 – (27 – 20) subtract in parentheses
72 – exponent
49 – 7 = subtract
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