Hilingon an source kan Bilang

[[Ladawan:NumberSetinC.svg|thumb|280x280px|Paggrupo grupo nin mga kompleksong bilang]]

An '''bilang''' o '''numero''' ([[Kastila]]: ''número'', [[Ingles]]: ''number'') iyo sarong matematikong bagay na ginagamit sa [[pagbilang]], [[pagsukol]], asin pag-label. An mga orihinal na halimbawa iyo an mga natural na bilang arug kan [[1]], [[2]], [[3]], [[4]], asin sa pagpadagos pa.<ref>{{Cite journal|title=number, n.|url=http://www.oed.com/view/Entry/129082|journal=OED Online|language=en-GB|publisher=Oxford University Press|access-date=2017-05-16|archive-url=https://web.archive.org/web/20181004081907/http://www.oed.com/view/Entry/129082|archive-date=2018-10-04|url-status=live}}</ref> An bilang pwedeng marepresenta sa lenggwahe nin mga numerong taramon. Sa pankagabsan, an mga indibidwal na bilang pwedeng marepresenta nin mga simbolo, na inaapod na mga ''numeral''; halimbawa, an "5" iyo sarong numeral na minarepresenta sa [[5|numerong lima]].

Huli ta relatibong sadit na bilang nin mga simbolo an kayang matuom, an mga basehang iyop harus naoorganisa sa sarong numeral na sistema, na iyo sarong organisadong paagi sa pagrepresenta nin maski anong bilang. An pinakabistong numeral na sistema iyo an Hindu–Arabikong sistemang numeral, na minatugot para sa representasyon nin maski anong bilang gamit an kombinasyon kan sampolong pundamental na numerikong simbolo, na iyo an mga digit.<ref>{{Cite journal|title=numeral, adj. and n.|url=http://www.oed.com/view/Entry/129111|journal=OED Online|publisher=Oxford University Press}}</ref><ref>In linguistics, a numeral can refer to a symbol like 5, but also to a word or a phrase that names a number, like "five hundred"; numerals include also other words representing numbers,  like "dozen".</ref> Dugang sa saindang kagamitan sa pagbilang asin pagsukol, an mga numeral iyo harus nagagamit sa pag-labelI (bilang mga numero nin telepono), sa pag-order (sa mga seryal na numero), asin para sa mga kodigo (sa ISBN). Sa pankagabsang kagamitan, an ''numeral'' iyo dae malinaw an pagkalain gikan sa ''numero'' na saiyang pigrerepresenta.

Sa [[matematika]], an nosyon nin sarong bilang iyo nagdakula sa pagdalagan nin siglo para maibali an [[0]],<ref>{{Cite news|url=https://www.scientificamerican.com/article/history-of-zero/|title=The Origin of Zero|last=Matson|first=John|work=Scientific American|access-date=2017-05-16|language=en|archive-url=https://web.archive.org/web/20170826235655/https://www.scientificamerican.com/article/history-of-zero/|archive-date=2017-08-26|url-status=live}}</ref> [[negatibong bilang]],<ref name=":0">{{Cite book|url=https://books.google.com/books?id=f6HlhlBuQUgC&pg=PA88|title=A History of Mathematics: From Mesopotamia to Modernity|last=Hodgkin|first=Luke|date=2005-06-02|publisher=OUP Oxford|isbn=978-0-19-152383-0|pages=85–88|language=en|access-date=2017-05-16|archive-url=https://web.archive.org/web/20190204012433/https://books.google.com/books?id=f6HlhlBuQUgC&pg=PA88#v=onepage&q&f=false|archive-date=2019-02-04}}</ref> [[rasyunal na bilang]] arug kan saro may kabanga <math>\left(\tfrac{1}{2}\right)</math>, [[totoong bilang]] arug kan kwadradong gamot nin 2 <math>\left(\sqrt{2}\right)</math> asin [[Pi|{{pi}}]],<ref>{{citation|author=T.K. Puttaswamy|pages=410–11|title=Mathematics Across Cultures: The History of Non-western Mathematics|year=2000|publisher=Springer|editor1-last=Selin|editor2-last=D'Ambrosio|editor1-first=Helaine|editor2-first=Ubiratan|isbn=1-4020-0260-2}}.</ref> sagkod an mga [[kompleksong bilang]]<ref>{{Citation|last=Descartes|first=René|title=La Géométrie &#124; The Geometry of René Descartes with a facsimile of the first edition|url=https://archive.org/details/geometryofrenede00rend|year=1954|orig-year=1637|publisher=Dover Publications|isbn=0-486-60068-8|access-date=20 April 2011}}</ref> na nagpapahiwas sa totong bilang kaiba an kwadradong gamot nin −1 (asin an saiyang kombinasyon sa totoong bilang sa pagdugang o pagbawas kan saiyang mga ''multiple'').<ref name=":0" /> An mga kalkulasyon sa bilang iyo nagigibo sa mga aritmetikong operasyon, an pinakapamilyar iyo an pagdugang, pagbawas, pagpadakol, pagbanga, asin eksponentasyon. An pag-adal o paggamit iyo an [[aritmetika]], sarong termino na pwedeng magsambit man sa [[teorya nin bilang]], an pag-adal sa karakter nin mga bilang.

==Panluwas na takod==
{{Commons|Numbers|Mga bilang}}
* {{cite web |last=Tallant |first=Jonathan |title=Do Numbers Exist? |url=http://www.numberphile.com/videos/exist.html |work=Numberphile |publisher=Brady Haran |access-date=2013-04-06 |archive-url=https://web.archive.org/web/20160308015528/http://www.numberphile.com/videos/exist.html |archive-date=2016-03-08 |url-status=dead }}
* [http://www.bbc.co.uk/programmes/p003hyd9 BBC Radio 4, In Our Time: Negative Numbers]
* [http://www.gresham.ac.uk/lectures-and-events/4000-years-of-numbers '4000 Years of Numbers'], pagtukdo ni Robin Wilson, 07/11/07, Gresham College
* {{cite web |url=https://www.npr.org/sections/krulwich/2011/07/22/138493147/what-s-your-favorite-number-world-wide-survey-v1 |title=What's the World's Favorite Number? |access-date=2011-09-17 |date=2011-06-22}}; {{cite web |url=https://www.npr.org/templates/transcript/transcript.php?storyId=139797360 |title=Cuddling With 9, Smooching With 8, Winking At 7 |date=2011-08-11 |access-date=2011-09-17}}
* [http://oeis.org On-Line Encyclopedia of Integer Sequences]

== Toltolan ==
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{{matematika-poon}}
[[Kategorya:Aritmetika]]