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The Order of Operations

The Order of Operations. Also known as the hierarchy of math operations. In a math statement. What operations are done 1st, 2nd, and so on?

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The Order of Operations

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  1. The Order of Operations Also known as the hierarchy of math operations

  2. In a math statement • What operations are done 1st, 2nd, and so on? • For example: in the statement 2+5x7-2^4x(6-4)/(7+1)-3x2^3 what is the correct order in which to do the operations, so that you would get the correct answer?

  3. 1st do parentheses • Moving across from left to right • 2+5x7-2x(6-4)/(7+1)-3x2^3 • becomes: • 2+5x7-2^4x(2)/(8)-3x2^3

  4. 2nd do the exponents • Moving across from left to right • 2+5x7-2^4x(2)/(8)-3x2^3 • becomes: • 2+5x7-16x(2)/(8)-3x8

  5. 3rd Mult. & Div. • Moving across from left to right • 2+5x7-16x(2)/(8)-3x8 • becomes: • 2+35-32/(8)-24 • And: • 2+35-4-24

  6. 4th Add. & Sub. • Moving across from left to right • 2+35-4-24 • becomes: • 9 • Focus on the order in which operations are done. This applies within parentheses too.

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