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1.2 Exponents and Order of Operations

1.2 Exponents and Order of Operations. Objective: SWBAT apply the order of operations and to evaluate expressions. Mini Quiz 1. (Write the problems before giving the answers) Write as an algebraic expression 1. 5 less than m Write as a verbal expression 2. Order of Operations – GEMDAS.

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1.2 Exponents and Order of Operations

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  1. 1.2 Exponents and Order of Operations Objective: SWBAT apply the order of operations and to evaluate expressions.

  2. Mini Quiz 1 (Write the problems before giving the answers) Write as an algebraic expression 1. 5 less than m Write as a verbal expression 2.

  3. Order of Operations – GEMDAS G – Grouping Symbols (Parentheses) E – Exponents (xE) – Multiply or Divide from left to right (×/÷) – Add or Subtract from left to right (+/-) * Use the Order of Operations (O3) for simplifying and evaluating expressions.

  4. Simplifying Expressions Ex. 1: Simplify 25 – 8 • 2 + 32 25 – 8 • 2 + 9 25 – 16 + 9 9 + 9 18 Ex. 2: Simplify 5(13 – 7) ÷ (8 – 5) 5(6) ÷ (3) 30 ÷ (3) 10

  5. Simplifying Expressions Ex. 3: Simplify 2[(13 – 7)2 ÷ 3] 2[(6)2 ÷ 3] 2[36 ÷ 3] 2[12] 24 Ex. 4: Simplify

  6. Evaluating algebraic Expression Ex. 5: Evaluate 3a – 23 ÷ b for a = 7 and b = 4 3(7) – 23 ÷ 4 21 – 8 ÷ 4 21 – 2 19 Ex. 6: Evaluate (cd)2 for c = 5 and d = 2 (5•2)2 (10)2 100

  7. Practice Problems 1. Simplify (72 – 32) ÷ 8 5 2. Simplify (102 – 50 ÷ 5) ÷ (4 + 5) 10 3. Evaluate 5a + 12b for a = 8 and b = 3 76 4. Evaluate for b = 4 and h = 6 8 (If you are finish early, help your fellow classmates)

  8. Wrap Up • Vocabulary: simplify and power • O3 • Simplify Expressions • Evaluate Expressions • HW Pizzazz P. 1 • Write a DLUQ for the lesson Question: What does the letter in GEMDAS represent?

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