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

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. 2/24/2019

3+ 2 • 3 + 5 3 + 6 + 5 = 9 + 5 = 14 Evaluate Expressions Multiply 2 • 3 first: 6 3 + 6 + 5 = 9 + 5 = 14 2/24/2019

15 ÷ 3 • 5 – 42 exponent first 15 ÷ 3 • 5 – 16 now division 15 ÷ 3 • 5 - 42 15 ÷ 3 • 5 – 42 exponent first 15 ÷ 3 • 5 – 16 now division 5 • 5 – 16 = 25 - 6 = 9 2/24/2019

2(5) + 3(4 + 3) parentheses first 2(5) + 3(7) multiply from left to right 10 + 21= 31 2/24/2019

2[5 + (30 ÷ 6)2] parentheses first 2(5 + 52) now exponents 2(5 +25)= 2(30) = 60 2/24/2019

22 = 11 36 18 6 +16 add the numerator 9 • 4 multiply the denominator 6 + 42 exponents first 32 • 4 6 +16 add the numerator 9 • 4 multiply the denominator 22 = 11 36 18 2/24/2019

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: 2/24/2019

72 – (33 – 4 • 5) parentheses exponent first 72 – (27 – 4 • 5) multiply in parentheses 72 – (27 – 20) subtract in parentheses 72 – 7 exponent 49 – 7 = 42 subtract 2/24/2019