An

**integer** (from the Latin

*integer* meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75,

5 ^{1}⁄_{2}, and

√2 are not.

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An **integer** (from the Latin *integer* meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 ^{1}⁄_{2}, and √2 are not.

The set of integers consists of zero (0), the positive natural numbers (1, 2, 3, …), also called *whole numbers* or *counting numbers*, and their additive inverses (the **negative integers**, i.e., −1, −2, −3, …). This is often denoted by a boldface Z ("**Z**") or blackboard bold $\mathbb {Z}$ (Unicode U+2124 ℤ) standing for the German word *Zahlen* ([ˈtsaːlən], "numbers").

ℤ is a subset of the sets of rational numbers ℚ, in turn a subset of the real numbers ℝ. Like the natural numbers, ℤ

The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes called **rational integers** to distinguish them from the more general algebraic integers. In fact, the (rational) integers are the algebraic integers that are also rational numbers.

In simple form an interger is a number that has the opposite so like eight is the interger as negative eight.

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