When any number is multiplied by it, the answer is always zero.
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The Zero property of Multiplication is when anything times zero is zero.
Multiplication Property of Zero
Any number times zero is zero. a x 0 = 0
Technically, 3*0=0 is the Multiplication Property of Zero. But any form of multiplication is the Commutative Property.
The two operations - addition and multiplication - are different and so their identities are different.