Integer
[[Fail:NumberLineIntegers.svg|thumb|[[Set (matematik)|Set]] integer dalam [[taris lumur]]]]

'''Integer''' nya [[lumur]] kusung ([[0]]), lumur natural positif (1, 2, 3, . . .), tauka negasyen ari lumur natural positif ([[−1|−1]], −2, −3, . . .).<ref>{{Cite book |title=Science and Technology Encyclopedia |date=September 2000 |publisher=University of Chicago Press |isbn=978-0-226-74267-0 |page=280 |url=https://books.google.com/books?id=PZIdcYCCf2kC&dq=integer&pg=PA280 |language=en}}</ref> Negasyen tauka pemali penambah lumur natural positif dikumbai mega enggau nama '''lumur negatif'''.<ref>{{Cite book |last1=Hillman |first1=Abraham P. |last2=Alexanderson |first2=Gerald L. |title=Algebra and trigonometry; |date=1963 |publisher=Allyn and Bacon |location=Boston |url=https://archive.org/details/algebratrigonome0000hill/page/42/mode/2up}}</ref> Set semua integer suah ditanda enggau urup tebal {{Math|'''Z'''}} tauka urup tebal papan chelum {{Nobr|<math>\mathbb{Z}</math>.<ref name="earliest"/><ref name="Cameron1998">{{Cite book |author=Peter Jephson Cameron |title=Introduction to Algebra |url=https://books.google.com/books?id=syYYl-NVM5IC&pg=PA4 |year=1998 |publisher=Oxford University Press |isbn=978-0-19-850195-4 |page=4 |access-date=2016-02-15 |archive-url=https://web.archive.org/web/20161208142220/https://books.google.com/books?id=syYYl-NVM5IC&pg=PA4 |archive-date=2016-12-08 |url-status=live }}</ref>}}.

Set lumur natural <math>\mathbb{N}</math> nya siti [[subset]] ari <math>\mathbb{Z}</math>, ti nyadi subset ari semua [[lumur rasional]] <math>\mathbb{Q}</math>, ke nyadi subset [[lumur bendar]] <math>\mathbb{R}</math>.{{Efn|More precisely, each system is [[Embedding|embedded]] in the next, isomorphically mapped to a subset.<ref>{{Cite book |last1=Partee |first1=Barbara H. |last2=Meulen |first2=Alice ter |last3=Wall |first3=Robert E. |title=Mathematical Methods in Linguistics |date=30 April 1990 |publisher=Springer Science & Business Media |isbn=978-90-277-2245-4 |pages=78–82 |url=https://books.google.com/books?id=qV7TUuaYcUIC&pg=PA80 |language=en |quote=The natural numbers are not themselves a subset of this set-theoretic representation of the integers. Rather, the set of all integers contains a subset consisting of the positive integers and zero which is isomorphic to the set of natural numbers.}}</ref> The commonly-assumed set-theoretic containment may be obtained by constructing the reals, discarding any earlier constructions, and defining the other sets as subsets of the reals.<ref>{{Cite book |last1=Wohlgemuth |first1=Andrew |title=Introduction to Proof in Abstract Mathematics |date=10 June 2014 |publisher=Courier Corporation |isbn=978-0-486-14168-8 |page=237 |url=https://books.google.com/books?id=PEP_AwAAQBAJ&pg=PA237 |language=en}}</ref> Such a convention is "a matter of choice", yet not.<ref>{{Cite book |last1=Polkinghorne |first1=John |title=Meaning in Mathematics |date=19 May 2011 |publisher=OUP Oxford |isbn=978-0-19-162189-5 |page=68 |url=https://books.google.com/books?id=DCqQDwAAQBAJ&pg=PA68 |language=en}}</ref>}} Baka set lumur natural, set integer <math>\mathbb{Z}</math> nya ulih dikira sereta nadai sekat. Integer tau dianggap nyadi lumur bendar ti ulih ditulis enggau nadai komponen pemechah. Ngambika chunto, 21, 4, 0, enggau −2048 nya integer, tang 9.75, {{Sfrac|5|1|2}}, 5/4 sereta&nbsp;{{Math|{{Sqrt|2}}}} nya ukai integer.<ref>{{Cite book |last1=Prep |first1=Kaplan Test |title=GMAT Complete 2020: The Ultimate in Comprehensive Self-Study for GMAT |date=4 June 2019 |publisher=Simon and Schuster |isbn=978-1-5062-4844-8 |url=https://books.google.com/books?id=6l_sDwAAQBAJ&pg=PA708 |language=en}}</ref>

Integer nya nyadika raban ti pemadu mit enggau [[Kelang (matematik)|kelang]] ti pemadu mit ti ngundan lumur natural. Dalam teori lumur aljebra, integer kadang-kadang dikualifikasyenka nyadi integer rasional dikena mida iya ari integer aljebra ti agi jeneral. Ke bendar iya, lumur bulat (rasional) nya lumur bulat aljebra ti mega nyadi lumur rasional.

== Penerang ==

=== Penyanding ===
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=== Nota ===
Integer nya lumur kusung (0), lumur natural positif (1, 2, 3, . . .), tauka negasyen ari lumur natural positif (−1, −2, −3, . . .). Negasyen tauka pemali penambah lumur natural positif dikumbai mega enggau nama lumur negatif. Set semua integer suah ditanda enggau urup tebal  tauka urup tebal papan chelum .

Set lumur natural  nya siti subset ari , ti nyadi subset ari semua lumur rasional , ke nyadi subset lumur bendar . Baka set lumur natural, set integer  nya ulih dikira sereta nadai sekat. Integer tau dianggap nyadi lumur bendar ti ulih ditulis enggau nadai komponen pemechah. Ngambika chunto, 21, 4, 0, enggau −2048 nya integer, tang 9.75, , 5/4 sereta  nya ukai integer.

Integer nya nyadika raban ti pemadu mit enggau kelang ti pemadu mit ti ngundan lumur natural. Dalam teori lumur aljebra, integer kadang-kadang dikualifikasyenka nyadi integer rasional dikena mida iya ari integer aljebra ti agi jeneral. Ke bendar iya, lumur bulat (rasional) nya lumur bulat aljebra ti mega nyadi lumur rasional.

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 Nota