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

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

Latest Math Problems

Email subscription

Math Doubts is a free math tutor for helping students to learn mathematics online from basics to advanced scientific level for teachers to improve their teaching skill and for researchers to share their research projects.
Know more

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.