Integers

The integers are the set $\mathbb{Z}=\{\dots,-2,-1,0,1,2,\dots\}$.

The integers extend the natural numbers by including additive inverses, and they sit inside the rational numbers via the identification $n = n/1$. With the usual $\le$, they form a totally ordered set.

Examples:

• $-3$, $0$, and $14$ are integers.
• The equation $x+3=0$ has the integer solution $x=-3$.