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**Order of Operations PEMDAS**

by Alex Garcia and Cameron Rogers

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Order of Operations The Order of Operations is the order of solving a mathematical problem. You must solve problems using the 6 operations, working from left to right.

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**PEMDAS P – Parentheses E – Exponents M/D – Multiplication or Division**

Use the acronym PEMDAS to help you remember the Order of Operations P – Parentheses E – Exponents M/D – Multiplication or Division A/S – Add or Subtract

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**PEMDAS = Parentheses ( )**

Parentheses are the 1st operation to look for in a problem. If there are parentheses then you must do the math in them before anything else. Ex: 11 – (2 + 4) 2 + 4 = 6 11 – 6 = 5 Before you can do anything else, you must do the operation inside the parentheses.

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PEMDAS = Exponents The 2nd operation to look for in a problem are exponents. If there are exponents solve them next. Ex: 52 = 25 = 32 After solving any problems in parentheses, solve all exponents.

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**PEMDAS = Multiplication + Division**

Multiplication and Division are the 3rd operations to look for in a problem. Solve multiplication and division problems working from left to right. Ex: 5 x 5 x 6 = 30 = 42 Ex: 36 ÷ 6 – 4 36 ÷ 6 = 6 6 – 4 = 2 The 1st operation to do in this equation is multiplication. The 1st operation to do in this equation is division

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**PEMDAS = Addition + Subtraction**

The last two operations to look for in a problem are Addition and Subtraction. Solve these after completing all of the math in Parentheses, Exponents, Multiplication, and Division. Ex: – 6 5 + 4 = 9 9 – 6 = 3 Ex: 10 – 7 + 4 10 – 7 = 3 3 + 4 = 7 In this problem you do the Adding first because you have to go from left to right. In this problem though, you do the subtraction first because you solve from left to right.

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