The multiplication properties are: Commutative property. Associative property. Distributive property. Identity property. And the Zero property of Multiplication.
There are many properties of multiplication. There is the associative property, identity property and the commutative property. There is also the zero product property.
If you add zero to a number, the number will stay the same.
Zero is the identity under addition.
Usually, the identity of addition property is defined to be an axiom (which only specifies the existence of zero, not uniqueness), and the zero property of multiplication is a consequence of existence of zero, existence of an additive inverse, distributivity of multiplication over addition and associativity of addition. Proof of 0 * a = 0: 0 * a = (0 + 0) * a [additive identity] 0 * a = 0 * a + 0 * a [distributivity of multiplication over addition] 0 * a + (-(0 * a)) = (0 * a + 0 * a) + (-(0 * a)) [existence of additive inverse] 0 = (0 * a + 0 * a) + (-(0 * a)) [property of additive inverses] 0 = 0 * a + (0 * a + (-(0 * a))) [associativity of addition] 0 = 0 * a + 0 [property of additive inverses] 0 = 0 * a [additive identity] A similar proof works for a * 0 = 0 (with the other distributive law if commutativity of multiplication is not assumed).
It's the Identity Property of Zero.
Commutative Property Identity Property Zero Property
It is the additive identity property of zero.
The concept of an identity property in arithmetic is of a process that does not alter the identity of a number, so with respect to addition, the number zero has the identity property; you can add zero to a number and that number does not change. With multiplication, the number one has the identity property; you can multiply anything by one, and it doesn't change.
Identity property
This is the identity property: the additive identity property of zero.
zero property of multiplication commutative property of multiplication identity property of addition identity prpertyof multiplication your welcome:-)
Identity property
Adding zero to any number exemplifies the identity property of addition. For example, 12 + 0 = 12 where adding zero does not change the sum.
Zero is refered to as the additive identity element in this situation.
Zero is the additive identity.
Zero is the additive identity.