# integer

EN[ˈɪn.tɪ.d͡ʒə(ɹ)]
US
WInteger
• 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, 5½, and √2 are not.
• The set of integers consists of zero (0), the natural numbers (1, 2, 3, …), also called whole numbers or counting numbers, and their additive inverses (the negative integers, i.e. −1, −2, −3, …).
• 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.

## Definition of integer in English Dictionary

• NounPLintegers
1. (arithmetic) A number that is not a fraction; an element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}.
2. More Examples
1. Used in the Middle of Sentence
• A Kleene-type ternary logic can be shown to exist "embedded" in integer arithmetic modulo 3 by assigning polynomials to the logical connectives, like so:
• Nearly all modern computers use two's complement for integer arithmetic.
• We are concerned with the subrange of integers between a and b.
• Part-of-Speech Hierarchy
1. Nouns
• Countable nouns