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Division sign
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{{Short description|Mathematical symbol}} {{Redirect|÷|the music album of this name|÷ (album){{!}}''÷'' (album)|the Tifinagh character|ⴻ}} {{About||other signs used for division|Division (mathematics)#Notation}} {{Infobox symbol |mark=÷ |unicode={{unichar|F7|Division sign|html=}} |see also = {{unichar|2236|nlink=ratio}}<br /> {{unichar|003A|nlink=colon (punctuation)}}<br /> {{unichar|002F|nlink=solidus (punctuation)}}<br /> {{unichar|2044|nlink=Fraction slash}}<br /> {{unichar|2215|nlink=Division slash}} |different from = {{unichar|2052|nlink=Commercial minus sign|}}<br /> {{unichar|002B|nlink=Plus and minus signs}}<br /> {{unichar|2020|Dagger|nlink=Dagger (mark)}}<br /> {{unichar|034B|combining homothetic above|nlink=Combining Diacritical Marks}} }} The '''division sign''' ({{char|'''÷'''}}) is a [[Glossary of mathematical symbols|mathematical symbol]] consisting of a short horizontal line with a dot above and another dot below, used in [[Anglophone]] countries to indicate the operation of [[Division (mathematics)|division]]. This usage is not universal and the symbol has different meanings in other countries. Consequently, its use to denote division is not recommended in the [[ISO 80000-2]] standard for [[mathematical notation]].<ref name=ISO /> ==In mathematics== [[File:Skjermbilete 2012-11-03 kl. 02.48.36.png|thumb|Plus and minuses. The obelus{{snd}}or division sign{{snd}} used as a variant of the minus sign in an excerpt from an official Norwegian trading statement form called «Næringsoppgave 1» for the taxation year 2010.]] {{further|Division (mathematics)#Notation}} The [[obelus]], a historical [[glyph]] consisting of a horizontal line with (or without) one or more dots, was first used as a symbol for division in 1659, in the [[algebra]] book ''{{lang|de|Teutsche Algebra}}'' by [[Johann Rahn]], although previous writers had used the same symbol for subtraction.<ref name="Cajori">{{cite book |title=A history of mathematical notations |volume= 1. Notations in Elementary Mathematics |publisher=The Open Court Company |year=1928 |first=Florian |last=Cajori |author-link=Florian Cajori |pages=242, 270–271 |url=https://archive.org/details/in.ernet.dli.2015.200372/page/n261/mode/2up }} [https://archive.org/details/in.ernet.dli.2015.200372/page/n289/mode/2up pp 270,271] </ref> Some near-contemporaries believed that [[John Pell (mathematician)|John Pell]], who edited the book, may have been responsible for this use of the symbol.<ref name="Cajori" /> Other symbols for division include the [[slash (punctuation)|slash]] or solidus {{char|/}}, the [[colon (punctuation)|colon]] {{char|:}}, and the [[fraction (mathematics)#Vocabulary|fraction bar]] (the horizontal bar in a vertical fraction).<ref>{{Cite web|last=Weisstein|first=Eric W.|title=Division|url=https://mathworld.wolfram.com/Division.html|access-date=2020-08-26|website=mathworld.wolfram.com|language=en}}</ref><ref>{{Cite web|title=Division|url=https://www.mathsisfun.com/numbers/division.html|access-date=2020-08-26|website=www.mathsisfun.com}}</ref> The ISO 80000-2 standard for mathematical notation recommends only the solidus {{char|/}} or "fraction bar" for division, or the "colon" {{char|:}} for [[ratio]]s; it says that the {{char|÷}} sign "should not be used" for division.<ref name=ISO>ISO 80000-2, Section 9 "Operations", 2-9.6</ref> In [[Italy]], [[Poland]] and [[Russia]], the {{char|÷}} sign was sometimes used to denote a [[Interval (mathematics)|range of values]], and in [[Scandinavia]]n countries it was, and sometimes still is, used as a negation sign:<ref>{{cite book |chapter-url=https://www.unicode.org/versions/Unicode10.0.0/ch06.pdf#G7935 | page=280, Obelus | chapter = 6. Writing Systems and Punctuation | publisher= Unicode Consortium | title = The Unicode® Standard: Version 10.0 – Core Specification | date= June 2017}}</ref> the [[Unicode Consortium]] has allocated a separate [[code point]], {{unichar|2052|commercial minus sign|nlink=}} for this usage uniquely;<ref name=Silli1>{{cite web |title=Too narrowly defined: DIVISION SIGN & COLON |url=http://www.unicode.org/mail-arch/unicode-ml/y2012-m07/0053.html | author = Leif Halvard Silli | website= Unicode.org}}</ref><ref name=Silli2>{{cite web |url=https://www.unicode.org/mail-arch/unicode-ml/y2014-m01/0018.html | title= Commercial minus as italic variant of division sign in German and Scandinavian context | author = Leif Halvard Silli | website= Unicode.org}}</ref> the exact form of the symbol displayed is typeface (font) dependent. ==In computer systems== ===Encoding=== The symbol was assigned to [[code point]] 0xF7 in [[ISO 8859-1]], as the "division sign". This encoding was transferred to [[Unicode]] as U+00F7.<ref>{{citation|title=Unicode Explained: Internationalize documents, programs, and web sites |first=Jukka |last=Korpela |publisher=O'Reilly Media, Inc. |year=2006 |isbn=9780596101213 |page=397 |url=https://books.google.com/books?id=PcWU2yxc8WkC&pg=PA397}}</ref> In [[HTML]], it can be [[Character encodings in HTML|encoded]] as {{code|÷}} or {{code|÷}} (at [[List of XML and HTML character entity references|HTML level]] 3.2), or as {{code|÷}}. [[Unicode]] provides various division symbols:<ref>{{Cite web |title=Division symbol |url=https://divisionsymbol.net}}</ref> {| class="wikitable" ! Codepoint !! Name !! Symbol |- | U+00F7 || Division Sign || ÷ |- | U+27CC || Long Division || ⟌ |- | U+2215 || [[Division slash|Division Slash]] || ∕ |- | U+2A38 || Circled Division Sign || ⨸ |- | U+2797 || Heavy Division Sign || ➗ |- | U+2298 || Circled Division Slash || ⊘ |- | U+22C7 || Division Times || ⋇ |- | U+29BC || Circled Anticlockwise-Rotated Division Sign || ⦼ |} ==See also== * [[Plus and minus signs]] * [[Multiplication sign]] ==Notes== {{reflist}} ==External links== *[http://jeff560.tripod.com/operation.html Jeff Miller: ''Earliest Uses of Various Mathematical Symbols''] *[http://www.worldwidewords.org/articles/signs.htm Michael Quinion: ''Where our arithmetic symbols come from''] {{wiktionary-inline}} {{navbox punctuation}} [[Category:Mathematical symbols]] [[Category:Typographical symbols]] [[Category:Division (mathematics)]] [[Category:Ancient Greek punctuation]]
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