# Commutative property of Multiplication

## Formula

$a \times b \,=\, b \times a$

The product of two quantities equals to their product in reverse order is called the commutative property of multiplication.

### Introduction

Let $a$ and $b$ be two operands in algebraic form and their product is written in mathematical form as $a.b$. Now, multiply them in reverse order and the product of them is expressed as $b.a$ simply. Mathematically, the two expressions in product form are equal and it is called as the commutative law of multiplication.

#### Example

$4$ and $5$ are two quantities. Multiply $4$ by $5$ to obtain product of them.

$\implies$ $4 \times 5 = 20$

Similarly, multiply the number $5$ by the number $4$.

$\implies$ $5 \times 4 = 20$

$\,\,\, \therefore \,\,\,\,\,\,$ $4 \times 5$ $\,=\,$ $5 \times 4$ $\,=\,$ $20$

In this way, the commutative rule of multiplication is verified in numerical system.

### Proof

Learn how to derive the commutative law of multiplication in algebraic form by geometrical approach.

Latest Math Topics
Apr 18, 2022
Apr 14, 2022
Mar 18, 2022
Latest Math Problems
Apr 06, 2022

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.