# Why is 0 called the additive identity

## Translation of "additive inverse" in German

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The additive inverse and the multiplicative inverse are easily defined.
The second follows from the definition of -1 as additive inverse of 1: it is precisely that number that when added to 1 gives 0.
The second follows from the definition of -1 as additive inverse of 1: It is exactly the number that results in 0 when added to 1.
In mathematics, -1 is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0.
1 -1 is the one in mathematics additive inverse the 1, that is, if it is added to 1, one obtains the neutral element of the addition 0.
) If you add zero to any number, the quantity won't change; zero is the identity element for addition. The sum of any number and its additive inverse (in contexts where such a thing exists) is zero.

### further results

The existence of additive inverse for the equivalence classes is simple; i.e., the inverse of [r] is [-r].
A method as claimed in claim 1, wherein the color components include cyan and magenta color components and the respective cyan and magenta dither matrices are additive inverse of one another.
there exist additive inverse, such that for any element a of S, there is a b in S such that a + b = 0.
consist additive oppositessuch that for every possible element a of S, there exists a b in S such that a + b = 0.
Among his main achievements are: construction of meromorphic functions with infinitely many deficient values, solution of the inverse problem of Nevanlinna theory for finitely many deficient values, development of the integral with respect to a semi-additive measure.
for any element except the additive identity 0 there exists a multiplicative inverse; i.e., for any a except 0 there is a b in S such that b * a = e.
for any element except that additive Identity 0 exists multiplicative opposite; i.e. for every possible a except 0 there is a b in S such that b a = e.
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