# Order of Operations Definition

## Let's look at order of operations definiton

About order of operations , Math says

A set of rules that define which operation is to be performed prior to the other operation in a given expression having more than one operators.

## OPERATIONS ,OPERATORS

Studying Math order of operations , we encounter multiplication , addition , subtraction etc . These all are operations while symbols like ‘*’ , ‘+’, ‘-‘ are referred as operators.

## RULES

There are following rules for order of operations in Maths.

Moving in an expression from left to right

1. First solve the operations that lie in parenthesis

2. Perform , any radical or exponent operations before multiplication and division
3.Perform all multiplication and division operations before addition and subtraction operations

## PEMDAS

Use the term PEMDAS to learn the exact left-to–right order of operation quickly where

P – Parenthesis ( First Preference)

E- Exponent (Second Preference)

M-Multiplication or D- Division (Third Preference)

## ORDER OF OPERATIONS PROBLEMS

We will have a better understanding of mathematical order of operations by order of operations examples

PROBLEM 1

Evaluate the given expression having two operations

7+5*3

SOLUTION

We will perform Multiplication first and then addition ( 3rd Rule)

=7+15

=22

PROBLEM 2

Evaluate the given expression having more than two operations

7+5*3-9

SOLUTION

1.We will perform Multiplication first ( 3rd Rule)

=7+15-9

2.Now , we will perform addition and subtraction operations

=13

PROBLEM 3

Evaluate the given expression

7(2+ 32 -6 /2)

SOLUTION

1.We will first solve the operations in parenthesis ( 1st Rule) and there we will go for exponent first (2nd Rule)

=7(2+9-6/2)

2.Then , we will perform the division operation before addition or subtraction (3rd Rule)

=7(2+9-3)

3.After this , we will perform addition and subtraction

=7(8)

4.In last , we will perform the multiplication operation outside parenthesis

=7*8

=56

## ALGEBRA AND PROGRAMMING

Order of Math operations is also quite important in algebra order of operations and many programming languages. In C, order of operations like multiplication , addition , subtraction etc has the same precedence level as is in Maths.

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