Introduction to Order of Operations

The rules for the Order of operations are :

(a) Perform operations within parentheses.
(b) Evaluate the Exponents
(c) Divide and Multiply in order from left to right.
(d) Add and Subtract in order from left to right

If there are any exponents in an expression, they must be evaluated once the parenthesis has been removed

The order of removal of parenthesis is given below :

(a) The circular parenthesis (that is  ( ) ) is removed first
(b) The curly parenthesis (that is { }) is removed after the circular parenthesis
(c)  The square or box parenthesis ( that is [ ]) is removed last

An easy way to remember the order of operations is given by the these words:

Please        Parenthesis
Excuse       Exponents
My             Multiply
Dear           Divide
Aunt           Add
Sally           Subtract

To write the mathematical relation, first try and list down what we need to find out

The order in which calculations need to be done determines the order of the operations in the mathematical relation

Use the below given order of the operations to solve the mathematical relations:

First, solve the parenthesis present in the expression, if any

Second , solve the exponents or the exponents present in the expression

Third, divide and multiply in order from left to right

Last, add and subtract in order from left to right