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#### Order of Operations

When we speak about operations mathematically, it means things like add, subtract, multiply, divide, squaring, etc. Remember: If it isn't a number it is probably an operation.

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?

Warning: Calculate them in the wrong order, and you will get a wrong answer !

So, long ago people agreed to follow rules when doing calculations, and they are:
Do things in Parentheses First. Example:
 6 × (5 + 3) = 6 × 8 = 48 6 × (5 + 3) = 30 + 3 = 33 (wrong)
Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract. Example:
 5 × 22 = 5 × 4 = 20 5 × 22 = 102 = 100 (wrong)
Multiply or Divide before you Add or Subtract. Example:
 2 + 5 × 3 = 2 + 15 = 17 2 + 5 × 3 = 7 × 3 = 21 (wrong)
Otherwise just go left to right. Example:
 30 ÷ 5 × 3 = 6 × 3 = 18 30 ÷ 5 × 3 = 30 ÷ 15 = 2 (wrong)
How Do I Remember It All ... ? PEMDAS !
 P Parentheses first E Exponents (ie Powers and Square Roots, etc.) MD Multiplication and Division (left-to-right) AS Addition and Subtraction (left-to-right)

source: mathisfun.com