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1-2 The Order of Operations Objective: Use the order of operations and grouping symbols.

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In most languages, the meaning of words depend on the order: Ex. Sign the check Is not the same as Check the sign

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Mathematics is a type of language and it also has a specific order. Ex. 3 + 5 X 2 What do we do first? Add or multiply? If we add first: 3 + 5 X 2 8X 2 16 If we multiply first: 3 + 5 X 2 103 + 13 Uh Oh! Which one is the correct answer? Help ! Oh no!

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What is PEMDAS? In order to make sure every person gets the same answer to a math problem, mathematicians came up with a rule called the order of operations Parenthesis ( ) [ ] Exponents 2 3 Multiplication X Division ÷ Addition + Subtraction - Whichever comes first from left to right!

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How am I supposed to remember that! P l e a s e E x c u s e M y D e a r A u n t S a l l y

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Part 1 Using the Order of Operations 3 + 5 X 2 What do we do first? PEMDA S 103 + 13 Multiply first Then add

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To simplify an expression means to replace the expression with the simplest name for its value. Example 1: Simplify 4 + 15 ÷ 3 4 + 15 ÷ 3 PEMDAS 54 + 9 Divide first Then add

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Now you try! 1) 2 + 5 X 3 2) 12 ÷ 3 - 1 3) 10 – 1 7. Simplify each expression.

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When operations have the same rank in the order of operations, do them from left to right. Example 2 Simplify 3 5 – 8 ÷ 4 + 6. PEMDAS 3 5 – 8 ÷ 4 + 6. multiply & divide from left to right 152 - +6 13+6 19 add and subtract from left to right

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Try This! Simplify each expression 4) 4 – 1 2 + 6 ÷ 3. 5) 5 + 6 4 ÷ 3 - 1.

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Part 2 Using grouping Symbols Grouping symbols such as parenthesis ( ) and brackets [ ] come first in the order of operations. A fraction bar is also a grouping symbol since: 4 + 2 = (4 + 2) ÷ 3 3 Always work inside grouping symbols first!

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Order of Operations 1) Work inside grouping symbols. 2) Multiply and divide from left to right. 3) Add and subtract in order from left to right.

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Example 3 Simplify 10 ÷ [9 – (2 2)].. 10 ÷ [9 – (2 2)]. 10 ÷ [9 – ] 10 ÷ 4 5 2 Multiply in parenthesis. Subtract in brackets. Divide. PEMDAS

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You Try! 9) 2[ (13 – 4) ÷ 3] 10) 1 + 10 - 2 4

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Let’s do math! Classwork: pg. 11 #’s 1-9 odd Homework: pg. 11 #’s 10 – 34 even

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