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

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

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.

$4$ 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.

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

Latest Math Topics

Jul 20, 2023

Jun 26, 2023

Jun 23, 2023

Latest Math Problems

Oct 15, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved