Commutative property of Multiplication
Fact-checked:
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.
