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Commutative property :Β The subtraction of whole numbers is not commutative, that is, if $a$ and $b$ are two whole numbers, then in general $aβb$ is not equal to $(bβa)$.

Verification:

We know that $9β5=4$ but $5β9=β4$ which is not a whole number. Thus, for two whole numbers $a$ and $b$ if $a>b$, then $aβb$ is a whole number but $bβa$ is not possible and if $b>a$, then $bβa$ is a whole number but $aβb$ is not possible.

Now, if $a=b=3$ then, $aβb=3β3=0$ which is also a whole number.

Hence,Β whole numbers are commutative underΒ subtraction if and only if $a=b$.

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