What does integer mean?

Definitions for integer
ˈɪn tɪ dʒərin·te·ger

This dictionary definitions page includes all the possible meanings, example usage and translations of the word integer.

Princeton's WordNet

  1. integer, whole numbernoun

    any of the natural numbers (positive or negative) or zero

    "an integer is a number that is not a fraction"

Wiktionary

  1. integernoun

    An element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}.

  2. Etymology: From integer, from in + tangere; see tangere, tact.

Samuel Johnson's Dictionary

  1. INTEGERnoun

    The whole of any thing.

    Etymology: Latin.

    As not only signified a piece of money, but any integer; from whence is derived the word ace, or unit. Arbuthnot.

Wikipedia

  1. Integer

    An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold Z {\displaystyle \mathbb {Z} } .The set of natural numbers N {\displaystyle \mathbb {N} } is a subset of Z {\displaystyle \mathbb {Z} } , which in turn is a subset of the set of all rational numbers Q {\displaystyle \mathbb {Q} } , itself a subset of the real numbers R {\displaystyle \mathbb {R} } . Like the natural numbers, Z {\displaystyle \mathbb {Z} } is countably infinite. An integer may be regarded as a real 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 integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.

ChatGPT

  1. integer

    An integer is a whole number that can be positive, negative, or zero, and does not include fractional or decimal parts. It is a mathematical concept forming part of the set of numbers used often in basic arithmetic and number theory. Examples of integers are -2, -1, 0, 1, 2, 3, and so forth.

Webster Dictionary

  1. Integernoun

    a complete entity; a whole number, in contradistinction to a fraction or a mixed number

  2. Etymology: [L. integer untouched, whole, entire. See Entire.]

Wikidata

  1. Integer

    An integer is a number that can be written without a fractional or decimal component. For example, 21, 4, and −2048 are integers; 9.75, 5½, and √2 are not integers. The set of integers is a subset of the real numbers, and consists of the natural numbers and the negatives of the non-zero natural numbers. The name derives from the Latin integer. The set of all integers is often denoted by a boldface Z, which stands for Zahlen. The integers form the smallest group containing the additive monoid of the natural numbers. Like the natural numbers, the integers form a countably infinite set. In algebraic number theory, these commonly understood integers, embedded in the field of rational numbers, are referred to as rational integers to distinguish them from the more broadly defined algebraic integers.

Chambers 20th Century Dictionary

  1. Integer

    in′te-jėr, n. that which is left untouched or undiminished, a whole: (arith.) a whole number, as opposed to a fraction.—adj. In′tegral, entire or whole: not fractional: unimpaired: intrinsic, belonging as a part to the whole.—n. a whole: the whole as made up of its parts.—adv. In′tegrally.—adj. In′tegrant, making part of a whole: necessary to form an integer or an entire thing.—v.t. In′tegrāte, to make up as a whole: to make entire: to renew.—n. Integrā′tion.—Integral function (algebra), a function which does not include the operation of division in any of its terms (see Function). [L.,—in, not, root of tangĕre, to touch.]

Entomology

  1. Integer

    entire: applied to a margin without incisions.

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Numerology

  1. Chaldean Numerology

    The numerical value of integer in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of integer in Pythagorean Numerology is: 6

Examples of integer in a Sentence

  1. Harold Abelson:

    If we can dispel the delusion that learning about computers should be an activity of fiddling with array indexes and worrying whether X is an integer or a real number, we can begin to focus on programming as a source of ideas.

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"integer." Definitions.net. STANDS4 LLC, 2024. Web. 16 Apr. 2024. <https://www.definitions.net/definition/integer>.

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