Math Doubts

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.

Math Doubts
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more