# 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)

**A**-Addition or **S**-Subtraction (Fourth 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 ( **3**^{rd}** 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 ( **3**^{rd}** Rule**)

=7+15-9

2.Now , we will perform addition and subtraction operations

=13

**PROBLEM 3 **

Evaluate the given expression

7(2+ 3^{2 }-6 /2)

**SOLUTION **

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

=7(2+9-6/2)

2.Then , we will perform the division operation before addition or subtraction (**3**^{rd}** 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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