First, we will perform Parenthesis means data in following blocks - ( ), [ ] etc.

Second, we will perform exponential means a data in power form like - x

^{2}or x

^{2}etc.

Third, we perform multiplication or Division Operations means data with multiplication operator like – x * y etc or data with division operator like – x / y. Order of multiplication and division is same but priority is given to left side operator first because we always perform multiplication or division operations from left hand side to right hand side.

Fourth, we perform addition or subtracting operations means data with addition operator like – x + y etc. or data with subtraction operator like ‘x – y’ etc and order of addition and subtraction is same but priority is given to left side operator first because we always perform addition or subtraction operations from left hand side to right hand side.

Now we take some example to understand the order of operations -

Example 1: Find the result of following equation -

14 + (6 / 5)

^{2}* 11 – 7 / 3?

Solution: We use following steps to evaluate the result of given equation -

Step 1: First of all, we perform parenthesis and exponential operation -

14 + (6 / 5)

^{2}* 11 – 7 / 3,

=> 14 + (1.2)

^{2}* 11 – 7 / 3,

=> 14 + 1.44 * 11 – 7 / 3,

Step 2 : Now we perform multiplication and subtraction operations on given equation -

14 + 1.44 * 11 – 7 / 3,

=> 14 + 1.44 * 11 – 7 / 3,

=> 14 + 15.84 – 7 / 3,

=> 14 + 15.84 – 2.33,

=> 14 + 13.51,

=> 27.51.