0 is the identity
It is 0.
Yes it is.
No, an identity property, in the context of addition (subtraction), is associated with 0. 0 is the additive identity and the identity property is expressed as x + 0 = x = 0 + x for any element of the set of numbers.A number minus that number is simply an expression.
0, zero, is defined as the identity element for addition and subtraction. * * * * * While 0 is certainly the identity element with respect to addition, there is no identity element for subtraction. The identity element of a set, for a given operation, must commute with every element of the set. Since a - 0 ≠ 0 - a, according to group theory, 0 is not an identity with respect to subtraction.
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.
The minus sign.
no, 0, anything minus 0 is still whatever it was.
To give the set closure with respect to subtraction, or to give it an additive identity.
The question does not make sense.
It is the "additive identity".
Because you can do the same with the Identity Property of Addition. Here's an example: 5 + 0 = 5 5 - 0 = 5 The same goes for multiplication/division.