Editing Division (mathematics) (section)

== Division by zero ==
{{main|Division by zero}}
Division of any number by [[zero]] in most mathematical systems is undefined, because zero multiplied by any finite number always results in a [[multiplication|product]] of zero.<ref>http://mathworld.wolfram.com/DivisionbyZero.html {{Webarchive|url=https://web.archive.org/web/20181023234325/http://mathworld.wolfram.com/DivisionbyZero.html |date=2018-10-23 }} Retrieved October 23, 2018</ref> Entry of such an expression into most [[calculator]]s produces an error message. However, in certain higher level mathematics division by zero is possible by the [[zero ring]] and algebras such as [[Wheel theory|wheels]].<ref>Jesper Carlström. [https://www2.math.su.se/reports/2001/11/2001-11.pdf "On Division by Zero"] {{Webarchive|url=https://web.archive.org/web/20190817102241/https://www2.math.su.se/reports/2001/11/2001-11.pdf |date=2019-08-17 }} Retrieved October 23, 2018</ref> In these algebras, the meaning of division is different from traditional definitions.