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EXPONENTS AND ORDER OF OPERATIONS DO YOU KNOW THE CHICK NAMED SALLY??? Lesson 1-2

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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 * * 3 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: 2 3 Which is the base? Which is the exponent?

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PLEASE EXCUSE MY DEAR AUNT SALLY P – PARENTHESES E – EXPONENTS M – MULTIPLY D – DIVISION A AND S – ADD AND SUBTRACT Order of Operations

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PLEASE END MY DAY AT SCHOOL P – PARENTHESES E – EXPONENTS M – MULTIPLY D – DIVISION A AND S – ADD AND SUBTRACT I prefer this ….. Order of Operations

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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 ÷ P – Parentheses…No. 2. E – Exponents…Yes. 3 * 3 = ÷ 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 = – a 2 + ab 36 – 7 * * 3 36 –

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Simplifying an Expression with Parentheses Evaluate 8 + (2 x 5) x 3 4 ÷ (10) x 3 4 ÷ x 81 ÷ ÷ 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)] [-1(-3)] [3] *

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