Integer
[[Ladawan:Latex integers.svg|thumb|163x163px|An simbolong ''Zahlen'' na harus nagagamit sa pagpapahiling sa grupo nin gabos na mga integer]]
An '''integer''' (gikan sa [[Latin]] na ''integer'', boot-sabihon "bilog"){{efn|''Integer'' 's first literal meaning in Latin is "untouched", from ''in'' ("not") plus ''tangere'' ("to touch"). "[[wikt:entire|Entire]]" derives from the same origin via the [[French language|French]] word ''[[wikt:entier|entier]]'', which means both ''entire'' and ''integer''.<ref>{{cite book |first=Nick |last=Evans |contribution=A-Quantifiers and Scope |editor-first=Emmon W. |editor-last=Bach |title=Quantification in Natural Languages |isbn=978-0-7923-3352-4 |year=1995 |pages=262 |url=https://books.google.com/books?id=NlQL97qBSZkC |location=Dordrecht, The Netherlands; Boston, MA |publisher=Kluwer Academic Publishers}}</ref>}} iyo kolokyal na pigtatawan kahulugan bilang sarong [[numero]] na pwedeng maisurat nin mayong [[Praksyon|praksyonal]] na komposisyon. Halimbawa, an 21, 4, 0, asin −2048 iyo mga integer, mientras an 9.75, {{sfrac|5|1|2}}, asin&nbsp;{{math|{{sqrt|2}}}} iyo bako.

An grupo nin mga integer iyo pigbibilog nin kawaran ({{num|0}}), an mga positibong numerong natural ({{num|1}}, {{num|2}}, {{num|3}},&nbsp;...), inaapod man bilang mga ''bilog na numero'' o ''nabibiling na numero'',<ref name="MathWorld_CountingNumber">{{MathWorld|title=Counting Number|id=CountingNumber}}</ref><ref name="MathWorld_WholeNumber">{{MathWorld|title=Whole Number|id=WholeNumber}}</ref> asin an saindang aditibong kabaliktadan (an mga '''negatibong integer''', i.e., [[−1]], −2, −3,&nbsp;...). An grupo nin mga integer iyo harus pigpapahiling nin ''boldface'' ({{math|'''Z'''}}) o ''blackboard bold'' <math>(\mathbb{Z})</math> na letrang "Z"—orihinal na gikan para sa Alemang taramon na ''Zahlen'' ("mga numero").<ref name=":0">{{Cite web|date=2020-03-01|title=Compendium of Mathematical Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/|access-date=2020-08-11|website=Math Vault|language=en-US}}</ref><ref>{{Cite web|last=Weisstein|first=Eric W.|title=Integer|url=https://mathworld.wolfram.com/Integer.html|access-date=2020-08-11|website=mathworld.wolfram.com|language=en}}</ref><ref>{{cite web|url=http://jeff560.tripod.com/nth.html|title=Earliest Uses of Symbols of Number Theory|access-date=2010-09-20|date=2010-08-29|first=Jeff|last=Miller|archive-url=https://web.archive.org/web/20100131022510/http://jeff560.tripod.com/nth.html|archive-date=2010-01-31|url-status=dead}}</ref><ref name="Cameron1998">{{cite book|url=https://books.google.com/books?id=syYYl-NVM5IC&pg=PA4|title=Introduction to Algebra|author=Peter Jephson Cameron|publisher=Oxford University Press|year=1998|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>

== Panluwas na takod ==
* {{Springer|title=Integer|id=p/i051290}}
* [http://www.positiveintegers.org The Positive Integers – divisor tables and numeral representation tools]
* [http://oeis.org/ On-Line Encyclopedia of Integer Sequences] cf [[OEIS]]
* {{mathworld|Integer}}

== Toltolan ==
{{reflist}}

== Mga nota ==
<references group="lower-alpha" />
{{matematika-tamboan}}
[[Kategorya:Aritmetika]]
An integer (gikan sa Latin na integer, boot-sabihon "bilog") iyo kolokyal na pigtatawan kahulugan bilang sarong numero na pwedeng maisurat nin mayong praksyonal na komposisyon. Halimbawa, an 21, 4, 0, asin −2048 iyo mga integer, mientras an 9.75, , asin  iyo bako.

An grupo nin mga integer iyo pigbibilog nin kawaran (), an mga positibong numerong natural (, , , ...), inaapod man bilang mga bilog na numero o nabibiling na numero, asin an saindang aditibong kabaliktadan (an mga negatibong integer, i.e., −1, −2, −3, ...). An grupo nin mga integer iyo harus pigpapahiling nin boldface () o blackboard bold  na letrang "Z"—orihinal na gikan para sa Alemang taramon na Zahlen ("mga numero").

 Panluwas na takod 
 
 The Positive Integers – divisor tables and numeral representation tools
 On-Line Encyclopedia of Integer Sequences cf OEIS
 

 Toltolan 

 Mga nota 

Kategorya:Aritmetika