Additive identity: zero. Multiplicative identity: one.
It is the additive identity property of zero.
Yes: it is 0.
No; here's a counterexample to show that the set of irrational numbers is NOT closed under subtraction: pi - pi = 0. pi is an irrational number. If you subtract it from itself, you get zero, which is a rational number. Closure would require that the difference(answer) be an irrational number as well, which it isn't. Therefore the set of irrational numbers is NOT closed under subtraction.
Zero is the additive identity in the set of real numbers; when you add zero to any number, the number does not change its identity.
0 is the identity
It is 0.
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.
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.
Yes it is.
The minus sign.
To give the set closure with respect to subtraction, or to give it an additive identity.
no, 0, anything minus 0 is still whatever it was.
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.