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**Exponents and Order of Operations Do you know the chick named sally???**

Lesson 1-2 Exponents and Order of Operations Do you know the chick named sally???

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**Lesson 1-2 Exponents and Order of Operations**

Vocabulary To Simplify a numerical expression, you replace it with its simplest name. EXAMPLE: 2 * * (8+3) An exponent tells how many times a number, the base, is used as a factor. A power has two parts, a base and an exponent. EXAMPLE: Which is the base? Which is the exponent?

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**Please Excuse my dear aunt sally A and S – Add and Subtract**

Order of Operations Please Excuse my dear aunt sally P – parentheses E – exponents M – Multiply D – Division A and S – Add and Subtract

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**I prefer this ….. Order of Operations**

Please End my day at school P – parentheses E – exponents M – Multiply D – Division A and S – Add and Subtract

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Order of Operations Rule 1: Simplify all operations inside parentheses. Rule 2: Simplify all exponents, working from left to right. Rule 3: Perform all multiplications and divisions, working from left to right. Rule 4: Perform all additions and subtractions, working from left to right.

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**Simplifying a Numerical Expression**

Problem: Evaluate this numerical expression ÷ 32 P – Parentheses…No. E – Exponents…Yes. 3 * 3 = 9 ÷ 9 M/D – Multi/Divide…Yes. A/S – Add/Subtract…Yes. Answer 22

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**Evaluating an Algebraic Expression**

You evaluate an algebraic expression by substituting a given number for each variable. Then simplify the numerical expression using the order of operations.

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**Evaluating an Algebraic Expression**

Evaluate for v = 10 and w = 9. v + 4w ÷ (9) ÷ ÷ Evaluate for a = 7 and b = 3. 36 – a2 + ab 36 – 7 * * 3 36 – 8

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**Simplifying an Expression with Parentheses**

Evaluate 8 + (2 x 5) x 34 ÷ 9 8 + (10) x 34 ÷ 9 x 81 ÷ 9 ÷ 9 8 + 90 Did you get that answer?

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**Simplifying an Expression**

Example: Simplify 3(5 + 2) – 4(7 – 2) 3(7) – 4(5) 21 – 20 1

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**EXAMPLE Simplify 4 + [–1(–2 – 1)]2 4 + [-1(-3)] 2 4 + [3] 2 4 + 3 * 3**

4 + 9 13

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THE ORDER OF OPERATIONS 1-2. VOCABULARY… 1.Order of Operations – a. Work inside grouping symbols ( ) or [ ] b. Simplify any terms with exponents 3 2 c.

THE ORDER OF OPERATIONS 1-2. VOCABULARY… 1.Order of Operations – a. Work inside grouping symbols ( ) or [ ] b. Simplify any terms with exponents 3 2 c.

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