Many teachers do not emphasize “order of operation”, but “order of operations” is very important. Without knowing order of operations well, you do not know how to solve a math problem.

Some examples are given in the following, There are also worksheets for you to work on after you understand the examples.

**Order of operations ( in order to make the explanation easy to understand, simple numbers are used)**

**Without any other operations in an expression: Addition and subtraction are equal operations in the way that is “first come, first served” from left to right:**

**12+3-9-5**

**=15-9-5**

**=6-5**

**=1**

**Without any other operations in an expression: multiplication and division are equal operations in the way that is “first come, first served” from left to right:**

**12 ÷6×3**

**= 2 ×3**

**=6**

** **

**When an expression has addition and (or) subtractions with multiplication and (or) divisions in it, multiplications and ( or divisions) should be done first; additions and (or) subtractions should be done afterwards.**

** 34- 9×3**

**=34- 27**

**=7**

** **

**2+ 4 ×5 – 3×7**

**=2+ 20- 21**

**=22-21**

**=1**

** **

**When an expression has parenthesis first, the operations in the parenthesis should be done first and other operations need to follow the rules above.**

**2+ 4 × (5 – 3) ×7 (operation in the parenthesis is done first)**

**=2+4 × 2×7 (multiplication is done before addition)**

**=2+ 8 × 7 (first multiplication is done , now let’s do the second multiplication)**

**=2+56**

**=58**

** Worksheets for you to work on **

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