Ara s-sors ta' Integer

[[File:Latex_integers.svg|daqsminuri|Blackboard grassa '''Z''', spiss użata biex tindika s-sett tan-numri interi kollha (ara {{math|ℤ}} )]]
'''Integer''' huwa n-numru żero (0), [[numru naturali]] pożittiv (1, 2, 3, eċċ.) jew '''numru sħiħ negattiv''' (−1, −2, −3, eċċ.). <ref>{{Ċita ktieb|data=September 2000|titlu=Science and Technology Encyclopedia|url=https://books.google.com/books?id=PZIdcYCCf2kC&dq=integer&pg=PA280|lingwa=en|pubblikatur=University of Chicago Press|paġna=280|isbn=978-0-226-74267-0}}</ref> In -numri negattivi huma l -inversi addittivi tan-numri pożittivi korrispondenti. <ref>{{Ċita web|url=https://www.oercommons.org/authoring/13198-integers-introduction-to-the-concept-with-activiti/1/view|titlu=Integers: Introduction to the concept, with activities comparing temperatures and money. {{!}} Unit 1|sit=OER Commons|lingwa=en}}</ref> Is -sett tan-numri interi kollha huwa spiss indikat bil-boldface jew blackboard grassett {{Nowrap|<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>}}

Is-sett ta 'numri naturali <math>\mathbb{N}</math> huwa subsett ta' <math>\mathbb{Z}</math>, li mbagħad huwa subsett tas-sett tan- numri razzjonali kollha <math>\mathbb{Q}</math>, innifsu subsett tan-numri reali <math>\mathbb{R}</math>.{{Nota|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>}} Like the set of natural numbers, the set of integers <math>\mathbb{Z}</math> is countably infinite. Integer jista 'jitqies bħala numru reali li jista' jinkiteb mingħajr komponent frazzjonali . Pereżempju, 21, 4, 0, u -2048 huma interi, filwaqt li 9.75, , u&nbsp;{{math|{{sqrt|2}}}} mhumiex. <ref>{{Ċita ktieb|kunjom=Prep|isem=Kaplan Test|data=4 June 2019|titlu=GMAT Complete 2020: The Ultimate in Comprehensive Self-Study for GMAT|url=https://books.google.com/books?id=6l_sDwAAQBAJ&pg=PA708|lingwa=en|pubblikatur=Simon and Schuster|isbn=978-1-5062-4844-8}}</ref>

In-numri interi jiffurmaw l-iżgħar [[Grupp (matematika)|grupp]] u l-iżgħar ċirku li fih in- [[Numru naturali|numri naturali]] . Fit- teorija tan-numri alġebrin, l-interi huma xi kultant ikkwalifikati bħala '''interi razzjonali''' biex jiddistingwuhom mill- interi alġebrin aktar ġenerali. Fil-fatt, interi (razzjonali) huma interi alġebrin li huma wkoll numri razzjonali.