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**Ch 1.3 – Order of Operations**

Objective: To simplify expressions using the order of operations.

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**Order of Operations (PEMDAS)**

The Order of Operations are rules that explain how to evaluate mathematical expressions. Parenthesis Exponents Multiplication & Division Addition & Subtraction

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**Example = 2 + 3 * 4 = 5 * 4 = 20 = 2 + 12 = 14 This is WRONG!**

This is CORRECT! 1 * * 4 = * 4 = * 4 = 20 Multiply – Add – Multiply NO! 1 * * 4 = = Multiply – Multiply - Add YES!

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**Order of Operations Parenthesis Exponents Multiply / Divide**

1) 6 + 5(8 - 2) 6 + 5(6) = 36 Exponents 2) = 77 Multiply / Divide 3) = 32 Add / Subtract 4) 7 + 8 = 15

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Try These Simplify each expression below. 1) 6 + 5(8 - 2) 2) 3) 4)

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**Simplify the following.**

1) 3) (4 + 18)2 - 10 (22)2 - 10 -1 + 5 = 34 4 2) 4) 24 - 2[ ] 8 + 20 24 - 2[3] 4 = 18 28 = 7 4

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**Evaluate the expression if a = 2, b = 4, and c = 8**

1) ab - c 3) 2 (2)(4) - 8 4 + 3(2) 8 - 8 4 + 3(4) 2 = 10 2) 3a(c - b) 4) 3(2)(8 - 4) 2(4 + 8) 3(2)(4) 2 2(12) 24 24 = = 12 2 2

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**Fact: Scientific calculators and computers follow the order of operations. Basic calculators do not.**

3 + 4 x 2 = 3 + 4 x 2 = = * 7 x 2 = 14 3 + 8 = 11 3 + 8 = 11

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**Symbolic Differences in Calculators and Computers**

Scientific Calculator Expression Computer + + + - - - x x * / 4 ^ 2 4 2 4 x 2 y

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**Key Sequences and Computer Input**

Calculator Key Sequence Expression Computer 3(8 - 2) 4 3 6 - 2 6 + 8 2 3 - 1

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