No. The identity i of a set (of numbers), with respect to subtraction must satisfy
x - i = x for all x
and
i - x = x for all x
The first of these is true for i = 0 and so 0 is a right identity. However, there is no element of the set such that the second is true and so there is no left identity. Since both conditions are not satisfied, there is no identity.
0 is the identity
minus
The minus sign.
It is the "additive identity".
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 is the identity
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.
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.
minus
Yes it is.
It is 0.
The minus sign.
It is the "additive identity".
The question does not make sense.
no, 0, anything minus 0 is still whatever it was.
If you subtract 0 from any number, that number remains unchanged. Hence, the identity of the number is preserved.
Yes it has closure, identity, inverse, and an associative property.