Rules for Performing Order of Operations

Introduction:

                        In mathematics and computer programming, an expression or string of symbols intended to represent a numerical value must follow commonly accepted and unambiguous rules. For example, the rule for evaluating 3 + 3 * 4 in mathematics and in most computer languages is to do the multiplication first, so the correct answer is 15. Here we are going to learn about order of operation with fraction and its examples.

            

Rules for Performing Order of Operations :

• We have to start the process from left to right
• The first priority is for the brackets that is parenthesis is done.
• When we have more than one bracket carefully do the inner bracket first.
• Next we do the exponents otherwise radicals
• After that we must do the division or multiplication
• Finally perform the addition and subtraction operation

Example : 1

Perform the order of operation;

15 + 36 ÷ 3²

Solution:

First check for any parenthesis in the problem, here there is no parentheses. So proceed to the next step

Done the exponent operation,

=15 + 36 ÷ 3²

3²=3*3=9

= 15 + 36 / 9

Then we perform multiplication or division (fraction) operation

=15 + 4

Therefore the final answer is 19