Integers
Integers
Integers are the set of numbers {…, −4, −3, −2, −1, 0, 1, 2, 3, 4, …} that encompass the counting numbers, {1, 2, 3, …}, the negative of the counting numbers, {… −3, −2, −1} and zero. Integers can be shown on a simple number line.
The integers on the left side of zero (0) are called negative numbers, and are represented by a negative sign (−) placed before them, as in −5, −10, and −15.* The integers on the right side of 0 are called positive numbers. Examples include 5, 10, and 15. The positive integers are known as counting numbers or natural numbers. The positive integers and 0 are called whole numbers. Zero is an integer but it is neither positive nor negative.
*Some historians believe the first evidence of the use of negative numbers was around 300 b.c.e. in China.
Integers are used in everyday life. A debt or a loss is often expressed with a negative integer. A gain is usually expressed with a positive integer. When the temperature is warmer than the zero point of the temperature scale, it is represented with a positive sign; when it is colder than the zero point, it is represented with a negative sign.
see also Numbers, Real; Numbers, Whole; Zero.
Marzieh Thomasian
Bibliography
Aufmann, Richard N., and Vernon C. Baker. Basic College Mathematics, 4th ed. Boston: Houghton Mifflin Company, 1991.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Integers." Mathematics. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"Integers." Mathematics. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/education/newswireswhitepapersandbooks/integers
"Integers." Mathematics. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/education/newswireswhitepapersandbooks/integers
integer
integer Any negative or positive whole number or zero, e.g. … −3, −2, −1, 0, 1, 2, 3 … There are a limitless (infinite) number of integers. The positive integers are the natural numbers. The existence of negative integers and zero allow any integer to be subtracted from any other integer to give an integer result.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." World Encyclopedia. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." World Encyclopedia. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/integer
"integer." World Encyclopedia. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/integer
integer
integer XVI. — L. integer intact, ENTIRE.
So integral making up a whole, made up of parts XVI; (math.) XVIII. — late L. integrālis. integrate XVII. f. pp. stem of L. integrāre. integration XVII. — L. integrity XV. — F. or L.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer2
"integer." The Concise Oxford Dictionary of English Etymology. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer2
integer
integer a whole number; a number which is not a fraction. The word is recorded from the early 16th century, as an adjective meaning ‘entire, whole’, and comes from Latin, ‘intact, whole’.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." The Oxford Dictionary of Phrase and Fable. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." The Oxford Dictionary of Phrase and Fable. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer
"integer." The Oxford Dictionary of Phrase and Fable. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer
integer
integer A whole number, as opposed to a rational or real number. The concept of integer type is used for computer representation of a finite subset of the integers.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." A Dictionary of Computing. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." A Dictionary of Computing. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/integer
"integer." A Dictionary of Computing. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/integer
integer
in·te·ger / ˈintijər/ • n. 1. a whole number; a number that is not a fraction. 2. a thing complete in itself.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer1
"integer." The Oxford Pocket Dictionary of Current English. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer1
integer
integer: see number; number theory.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/integer
"integer." The Columbia Encyclopedia, 6th ed.. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/integer
integer
integer •badger, cadger
•Alger, neuralgia
•ganja, grandeur, phalanger
•charger, enlarger, maharaja, raja
•slàinte • turbocharger
•dredger, edger, hedger, ledger, pledger, St Leger
•avenger, revenger
•gauger, goldenager, major, oldstager, pager, rampager, sergeant major, stager, wager
•arranger, changer, danger, endanger, exchanger, Grainger, hydrangea, manger, ranger, stranger
•moneychanger • teenager
•bushranger
•besieger, paraplegia, procedure
•abridger
•cringer, ginger, impinger, infringer, injure, ninja, whinger, winger
•dowager • voyager • harbinger
•bondager • wharfinger • packager
•Scaliger
•challenger, Salinger
•pillager, villager
•armiger • scrimmager
•rummager, scrummager
•manager • derringer • forager
•porringer • encourager
•Massinger, passenger
•presager • messenger • Kissinger
•integer, vintager
•cottager • frontager • ravager
•salvager • scavenger
•Elijah, Niger, obliger
•codger, dodger, lodger, roger, todger
•forger, Georgia, gorger
•gouger
•lounger, scrounger
•sunlounger • soldier
•Abuja, puja
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integer." Oxford Dictionary of Rhymes. . Encyclopedia.com. 11 Dec. 2017 <http://www.encyclopedia.com>.
"integer." Oxford Dictionary of Rhymes. . Encyclopedia.com. (December 11, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer0
"integer." Oxford Dictionary of Rhymes. . Retrieved December 11, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/integer0