Integers

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Numbers

$n$

-10:

-10

-9:

-9

-8:

-8

-7:

-7

-6:

-6

-5:

-5

-4:

-4

-3:

-3

-2:

-2

-1:

-1

equals: Zero

equals: One

10:

Definition

The integers [1] are the elements of the ring $\mathbb{Z}=\{\ldots, -2, -1, 0, 1, 2, \ldots\}$.

Parameters

$n$

— integer

Comments

(1)

The integers form a ring with their usual addition and multiplication.

Programs

(P1)

Sage

N = 20
numbers = [-N..N]

Links

[1]

Similar tables

rational numbers — the field of fractions of $\mathbb{Z}$

Data properties

Entries are of type: integer

Table is complete: no (it holds every integer $n$ with $-10 \leq n \leq 10$, as examples of $\mathbb{Z}$ rather than as a reference list)

An exact value -- an integer, a rational or a polynomial -- so there is no precision to choose and nothing to be wrong about.