No it is not a zero property because it doesn't use a zero.
It is an example of the commutative property of multiplication.
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The Abelian property or commutativity.
Zero: Any number multiplied by zero equals zero, and zero divided by any number equals zero.
This demonstrates the commutative property of multiplication.
If the numbers in an arithmetic problem can be rearranged to make the same result, then this is called the "commutative property" - in this case, as a multiplication sum, the commutative property of multiplication.
identity property of addition