Editing 0 (section)

{{Short description|Number}}
{{Redirect|Zero|other uses|0 (disambiguation)|and|Zero (disambiguation)}}
{{Hatnote|For [[Wikipedia:Naming conventions (technical restrictions)|technical reasons]], "0#" and ":0" redirect here. For the concept in set theory, see [[Zero sharp]]. For the keyboard symbols, see [[List of emoticons]].}}
{{distinguish|text=the letter [[O]]}}
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{{Use dmy dates|date=December 2019}}
{{Infobox number
|number=0
|cardinal=0, zero, {{nowrap|"oh" ({{IPAc-en|oʊ}})}}, nought, naught, nil
|ordinal=Zeroth, noughth, 0th
|latin prefix=nulli-
|lang1=[[Eastern Arabic numerals|Arabic]], [[Central Kurdish|Kurdish]], [[Persian language|Persian]], [[Sindhi language|Sindhi]], [[Urdu numerals|Urdu]]
|lang1 symbol={{resize|150%|٠}}
|lang2=[[Indian numerals|Hindu numerals]]
|lang2 symbol={{resize|150%|०}}
|lang3=[[Santali language|Santali]]
|lang3 symbol={{resize|150%|᱐}}
|lang4=[[Chinese numerals|Chinese]]
|lang4 symbol=零, 〇
|lang5=[[Bengali numerals|Bengali]]
|lang5 symbol=০
|lang6=[[Khmer numerals|Khmer]]
|lang6 symbol=០
|lang7=[[Thai numerals|Thai]]
|lang7 symbol=๐|lang8=[[Burmese numerals|Burmese]]|lang8 symbol=၀|lang9=[[Maya numerals]]|lang9 symbol=𝋠|lang10=[[Morse code]]|lang10 symbol=_ _ _ _ _}}
'''0''' ('''zero''') is a [[number]] representing an empty [[quantity]]. Adding (or subtracting) 0 to any number leaves that number unchanged; in mathematical terminology, 0 is the [[additive identity]] of the [[integer]]s, [[rational numbers]], [[real number]]s, and [[complex numbers]], as well as other [[algebraic structures]]. Multiplying any number by 0 results in 0, and consequently [[division by zero]] has [[Undefined (mathematics)|no meaning]] in [[arithmetic]].

As a [[numerical digit]], 0 plays a crucial role in [[decimal]] notation: it indicates that the [[power of ten]] corresponding to the place containing a 0 does not contribute to the total. For example, "205" in decimal means two hundreds, no tens, and five ones. The same principle applies in [[place-value notation]]s that uses a base other than ten, such as [[binary number|binary]] and [[hexadecimal]]. The modern use of 0 in this manner derives from [[Indian mathematics]] that was transmitted to Europe via [[Mathematics in the medieval Islamic world|medieval Islamic mathematicians]] and popularized by [[Fibonacci]]. It was independently used by the [[Maya civilization|Maya]].

Common [[names for the number 0 in English]] include ''zero'', ''nought'', ''naught'' ({{IPAc-en|n|ɔː|t}}), and ''nil''. In contexts where at least one adjacent digit distinguishes it from the [[O|letter O]], the number is sometimes pronounced as ''oh'' or ''o'' ({{IPAc-en|oʊ}}). Informal or [[slang]] terms for 0 include ''zilch'' and ''zip''. Historically, ''ought'', ''aught'' ({{IPAc-en|ɔː|t}}), and ''cipher'' have also been used.