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What is another word for integers?

Pronunciation: [ˈɪntɪd͡ʒəz] (IPA)

Integers are whole numbers, including both positive and negative numbers and zero. There are several synonyms for the word integers, including whole numbers, counting numbers, natural numbers, and rational numbers. These terms describe a set of numbers that do not include fractions or decimals. The term whole numbers is often used interchangeably with integers, but technically, whole numbers only include positive numbers and zero. Counting numbers and natural numbers both refer to positive integers, while rational numbers include any number that can be expressed as a fraction. Understanding the different synonyms for integers is important when working with mathematical concepts such as algebra and geometry.
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Synonyms for Integers:

What are the paraphrases for Integers?

Paraphrases are restatements of text or speech using different words and phrasing to convey the same meaning.
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What are the hypernyms for Integers?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

  • Other hypernyms:

    whole numbers, real numbers, natural numbers, counting numbers.

What are the opposite words for integers?

Integers represent positive and negative whole numbers, including zero. When considering antonyms for integers, it is important to focus on the specific element being described. For instance, antonyms for negative integers would be positive integers. Similarly, for non-whole numbers, or fractions, the antonym would be whole numbers or integers. Similarly, decimal values or fractions that are not integers could have integer counterparts as their antonyms. The antonym for the concept of integers would be non-integers, which include all the numbers between integers, including decimals and fractions. The relationship between antonyms for integers is dependent on the context in which the term is being used.

What are the antonyms for Integers?

Usage examples for Integers

Thus, for instance, the smallest of the infinite integers is the limit of the finite integers, though all finite integers are at an infinite distance from it.
"Mysticism and Logic and Other Essays"
Bertrand Russell
A man ought to pay for his dinner in integers.
"A Budget of Paradoxes, Volume II (of II)"
Augustus de Morgan
Now, since a, B, b, A, are integers, so also is P; and thence Q; and thence R, etc.
"A Budget of Paradoxes, Volume II (of II)"
Augustus de Morgan

Famous quotes with Integers

  • God made integers, all else is the work of man.
    Leopold Kronecker
  • God made the integers; all else is the work of man.
    Leopold Kronecker
  • The integers, the rationals, and the irrationals, taken together, make up the continuum of numbers. It's called a continuum because the numbers are packed together along the real number line with no empty spaces between them.
    Brian Hayes (scientist)
  • It may be in some measure due to the defects of notation in his time that Diophantos will have in his solutions no numbers whatever except numbers, in [the non-numbers of] which, in addition to surds and imaginary quantities, he includes quantities. ...Such equations then as lead to surd, imaginary, or negative roots he regards as useless for his purpose: the solution is in these cases , impossible. So we find him describing the equation 4=4+20 as because it would give =-4. Diophantos makes it throughout his object to obtain solutions in rational numbers, and we find him frequently giving, as a preliminary, conditions which must be satisfied, which are the conditions of a result rational in Diophantos' sense. In the great majority of cases when Diophantos arrives in the course of a solution at an equation which would give an irrational result he retraces his steps and finds out how his equation has arisen, and how he may by altering the previous work substitute for it another which shall give a rational result. This gives rise, in general, to a subsidiary problem the solution of which ensures a rational result for the problem itself. Though, however, Diophantos has no notation for a surd, and does not admit surd results, it is scarcely true to say that he makes no use of quadratic equations which lead to such results. Thus, for example, in v. 33 he solves such an equation so far as to be able to see to what integers the solution would approximate most nearly.
    Thomas Little Heath
  • The number of syllables in the English names of finite integers tends to increase as the integers grow larger, and must gradually increase indefinitely, since only a finite number of names can be made with a given finite number of syllables. Hence the names of some integers must consist of at least nineteen syllables, and among these there must be a least. Hence "the least integer not nameable in fewer than nineteen syllables" must denote a definite integer; in fact, it denotes 111, 777. But "the least integer not nameable in fewer than nineteen syllables" is itself a name consisting of eighteen syllables; hence the least integer not nameable in fewer than nineteen syllables can be named in eighteen syllables, which is a contradiction. This contradiction was suggested to us by Mr. G. G. Berry of the Bodleian Library.
    Bertrand Russell

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