## Formula

$a+b \,=\, b+a$

The addition of two quantities is equal to their sum in reverse order. It is called the commutative property of addition.

### Introduction

$a$ and $b$ are two operands in algebraic form and their sum is written in mathematical form as $a+b$. Now, add them in reverse order and it is expressed as $b+a$. Mathematically, the two expressions are equal and it is called as the commutative law of addition.

#### Example

$2$ and $3$ are two quantities and add them.

$\implies$ $2+3 = 5$

Now, add the same two operands in reverse order.

$\implies$ $3+2 = 5$

$\,\,\, \therefore \,\,\,\,\,\,$ $2+3$ $\,=\,$ $3+2$ $\,=\,$ $5$

Thus, the commutative rule of addition can be verified in numerical system.

### Proof

Learn how to derive the commutative law of addition in algebraic form by geometrical method.

Latest Math Problems

A best free mathematics education website for students, teachers and researchers.

###### Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

###### Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

###### Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.