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Order of Operations
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Definition The order in which mathematicians perform math problems.
Parenthesis – working inward outward Exponents Multiply or Divide – Left to Right Add or Subtract – Left to Right
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Please Excuse My Dear Aunt Sally Mnemonic Parenthesis Exponents
Multiply or Divide – Left to Right Aunt Sally Add or Subtract – Left to Right
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Example 1: 2 x 3 - (4-2) + 32 Subtraction Addition Exponents
Multiplication Parenthesis
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2 x 3 - (4-2) + 32 Parenthesis 2 x Exponents 2 x Multiply Add or Subtract – Left to Right 4 + 9 13
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Example 2: 4 X 6 – (3 + 4) + 22 Subtraction Exponents Multiplication
Parenthesis Addition
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4 X 6 – (3 + 4) + 22 Parenthesis 4 x Exponents 4 X 6 – 7 + 4 Multiply 24 – 7 + 4 Add or Subtract – Left to Right 17 + 4 21
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Practice Problems 3 + 5 x 7 (1 + 3) x (8 - 4) 6 - 6 + (7 - 0) - 7
Answer (1 + 3) x (8 - 4) Answer (7 - 0) - 7 Answer (5 - 1) - 3 Answer 3 + 9 x 8 – 62 Answer 24 ÷ 6 x 2 x 2 ÷ 4 Answer 2+3(4+10)x2 Answer
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Resources Math Goodies Amby.com The World of Math Online Fun Brain
Amby.com The World of Math Online Fun Brain Dositey – Mystery Game Aplus Math – Flash Cards AAA Math.com
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3 + 5 x 7 3 + 35 38 Back
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(1 + 3) x (8 - 4) 4 x (8 – 4) 4 x 4 16 Back
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(7 - 0) – 7 6 – 0 + 7 – 7 7 – 7 Back
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(5 - 1) – 3 4 – 1 + 4 – 3 5 – 3 2 Back
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3 + 9 x 8 – 62 3 + 9 X 8 – 36 – 36 75 – 36 39 Back
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24 ÷ 6 x 2 x 2 ÷ 4 4 x 2 x 2 8 x 2 16 Back
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2+3(4+10)x2 2 + 3 x 14 x 2 x 2 2 + 84 86 Back
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