Question

definition of integer​

Answer 1

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An integer is colloquially defined as a number that can be written without a fractional component.

Answer 2

Answer:

An integer (from the Latin integer meaning "whole")[a] is colloquially defined as 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,[2][3] and their additive inverses (the negative integers, i.e., −1, −2, −3, ...). The set of integers is often denoted by the boldface (Z) or blackboard bold {\displaystyle (\mathbb {Z} )}{\displaystyle (\mathbb {Z} )} letter "Z"—standing originally for the German word Zahlen ("numbers").[4][5][6][7]

ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ. Like the natural numbers, ℤ is countably infinite.