Order+of+Operations

== ==

Operations
//**"Operations"**// means things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation. But, when you see something like ... 7 + (6 × 52 + 3) ... what part should you calculate first?

Start at the left and go to the right? Or go from right to left?

Order of Operations
 **Do things in Parentheses First.** Example:  **[|Exponents] (Powers, Roots) before Multiply, Divide, Add or Subtract**. Example:  **Multiply or Divide before you Add or Subtract**. Example:  **Otherwise just go left to right**. Example:
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 6 × (5 + 3) ||   || 6 × 8 ||   || **48** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 6 × (5 + 3) ||   || 30 + 3 ||   || 33 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 5 × 22 ||   || 5 × 4 ||   || **20** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 5 × 22 ||   || 10 2 ||   || 100 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 2 + 5 × 3 ||   || 2 + 15 ||   || **17** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 2 + 5 × 3 ||   || 7 × 3 ||   || 21 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 30 ÷ 5 × 3 ||   || 6 × 3 ||   || **18** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 30 ÷ 5 × 3 ||   || 30 ÷ 15 ||   || 2 || (wrong) ||

How Do I Remember It All ... ? PEMDAS !

 * **P** || **P**arentheses first ||
 * **E** || **E**xponents (ie Powers and Square Roots, etc.) ||
 * **MD** || **M**ultiplication and **D**ivision (left-to-right) ||
 * **AS** || **A**ddition and **S**ubtraction (left-to-right) ||

 Divide and Multiply rank equally (and go left to right). Add and Subtract rank equally (and go left to right)
 * [[image:http://www.mathsisfun.com/images/pemdas.gif width="150" height="109"]] ||  || After you have done "P" and "E", just go from left to right doing any "M" or "D" as you find them. Then go from left to right doing any "A" or "S" as you find them. ||

//Or ...//
 * [[image:http://www.mathsisfun.com/images/style/thought-sm.gif width="45" height="45"]] || You can remember by saying "**P**lease **E**xcuse **M**y **D**ear **A**unt **S**ally". ||

Pudgy Elves May Demand A Snack

Popcorn Every Monday Donuts Always Sunday

Please Eat Mom`s Delicious Apple Strudels

People Everywhere Made Decisions About Sums

<span style="color: #993300; font-family: qarmic,Verdana,sans-serif; font-size: 18px;">Examples
<span style="background-color: #d8d8ff; display: block; font-family: Verdana,Tahoma,Arial,sans-serif;"> Example: How do you work out **3 + 6 × 2** ? First **6 × 2 = 12**, then **3 + 12 = 15**
 * M**ultiplication before **A**ddition:

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