Well this is kind of hard to answer but it should be zero because if the identity property of addition would be the same answer. Here let me give you an example: 8+0=8, 125+0=125 so identity property of zero should be zero. 0+0=0
The multiplication properties are: Commutative property. Associative property. Distributive property. Identity property. And the Zero property of Multiplication.
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).
Subtraction is not an identity property but it does have an identity property. The identity is 0 and each number is its own inverse with respect to subtraction. However, this is effectively the same as the inverse property of addition so there is no real need to define it as a separate property.
It's the Identity Property of Zero.
Commutative Property Identity Property Zero Property
It is the additive identity property of zero.
Identity property
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.
This is the identity property: the additive identity property of zero.
Identity property
zero property of multiplication commutative property of multiplication identity property of addition identity prpertyof multiplication your welcome:-)
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.