Question

For commutativity of two whole number $aandb$, we must have

• A. $a\times b=a=b$
• B. $a\times b=a-b$
• C. $a\times b=b\times a$
• D. $a\times b\ne b\times a$

Answer 1

The correct option is C

$a\times b=b\times a$

$a(b+c)=ab+ac$ is distribution of addition over multiplication.

Whereas commutativity is$\left(a\right)\left(b\right)=\left(b\right)\left(a\right)$ under multiplication and $a+b=b+a$under addition.

Hence, option C is correct.