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Decimal
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=== Natural languages === A method of expressing every possible [[natural number]] using a set of ten symbols emerged in India.<ref>{{cite web |url=https://mathshistory.st-andrews.ac.uk/HistTopics/Indian_numerals/ |title=Indian numerals|work=Ancient Indian mathematics }}</ref> Several Indian languages show a straightforward decimal system. [[Dravidian languages]] have numbers between 10 and 20 expressed in a regular pattern of addition to 10.<ref>{{Citation |title=Appendix:Cognate sets for Dravidian languages |date=2024-09-25 |work=Wiktionary, the free dictionary |url=https://en.wiktionary.org/wiki/Appendix:Cognate_sets_for_Dravidian_languages |access-date=2024-11-09 |language=en}}</ref> The [[Hungarian language]] also uses a straightforward decimal system. All numbers between 10 and 20 are formed regularly (e.g. 11 is expressed as "tizenegy" literally "one on ten"), as with those between 20 and 100 (23 as "huszonhárom" = "three on twenty"). A straightforward decimal rank system with a word for each order (10 {{lang|zh|十}}, 100 {{lang|zh|百}}, 1000 {{lang|zh|千}}, 10,000 {{lang|zh|万}}), and in which 11 is expressed as ''ten-one'' and 23 as ''two-ten-three'', and 89,345 is expressed as 8 (ten thousands) {{lang|zh|万}} 9 (thousand) {{lang|zh|千}} 3 (hundred) {{lang|zh|百}} 4 (tens) {{lang|zh|十}} 5 is found in [[Chinese language|Chinese]], and in [[Vietnamese language|Vietnamese]] with a few irregularities. [[Japanese language|Japanese]], [[Korean language|Korean]], and [[Thai language|Thai]] have imported the Chinese decimal system. Many other languages with a decimal system have special words for the numbers between 10 and 20, and decades. For example, in English 11 is "eleven" not "ten-one" or "one-teen". Incan languages such as [[Quechuan languages|Quechua]] and [[Aymara language|Aymara]] have an almost straightforward decimal system, in which 11 is expressed as ''ten with one'' and 23 as ''two-ten with three''. Some psychologists suggest irregularities of the English names of numerals may hinder children's counting ability.<ref>{{Cite journal| last=Azar| first=Beth| year=1999| title=English words may hinder math skills development| url=http://www.apa.org/monitor/apr99/english.html |journal=APA Monitor| volume=30| issue=4 |archive-url = https://web.archive.org/web/20071021015527/http://www.apa.org/monitor/apr99/english.html |archive-date = 2007-10-21}}</ref>
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