WARM-UP 8/29: Simplify: -2 + 3 2) 2 + -3 3) -2 + -3 -2 + 3 2) 2 + -3 3) -2 + -3 -2 – (-3) 5) 2- (-3) 6) 2 – 3 7) -2 x -3 8) 2 x -3 9) -2 x 3
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Exponents and Order of Operations Objectives: To simplify and evaluate expressions and formulas. To simplify and evaluate expressions containing grouping symbols. ____________________________________________________ EXPONENTS 31 = 32 = 33 = 42 = 54 =
Simplify the following expression. 3 + 5 – 6 ÷ 2 A) 7 B) 5 C) 1
ORDER OF OPERATIONS 1. Parenthesis (or Grouping) 2. Exponents 3 ORDER OF OPERATIONS 1. Parenthesis (or Grouping) 2. Exponents 3. Multiply and Divide (from LEFT to RIGHT) 4. Add and Subtract (from LEFT to RIGHT)
Examples) Simplify. 6 – 10 ÷ 5 3 · 6 – 42 ÷ 2
Examples) Evaluate the following if c = 2 and d = 5. 4c – 2d ÷ c 40 – d2 + cd · 3
Examples) Simplify (these “Grouping” problems). (5 + 3) ÷ 2 + (52 – 3) 8 ÷ (9 – 7) + (13 ÷ 2)
Examples) Evaluate each expression for r = 2 and t = 4. a) rt2 b) r2t c) (rt)2
Challenge 12 + 3[18 – 5(16 – 13)]