Wiki source code of Decimal Numbers

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1 h1. Notations of Decimal Numbers
2
3 This page collects the notations of decimal numbers with the [practice of the notation census|http://wiki.math-bridge.org/display/ntns/Notation-Census-Manifest].
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5 Floating point numbers notations vary by the usage of alphabet of digits, the direction, the decimal separator and the thousands separator.
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7 h3. References
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9 The Unicode Consortium is collecting all this information following their effort to make a census of all characters; see the [number patterns at Unicode CLDR|http://unicode.org/repos/cldr-tmp/trunk/diff/by_type/number.pattern.html] which indicate at least 8 ways of encoding the digits.
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11 Semantically, decimal numbers are representing rational numbers in the form of a sequence of digits. See, among others:
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13 - [OpenMath's specification of the OMF element|http://www.openmath.org/standard/om20-2004-06-30/omstd20html-3.xml#rncssec_xmlOMF]
14 - [MathML3's specification of the cn element|http://www.w3.org/TR/MathML3/chapter4.html#contm.cn]
15 - MathWorld's [Decimal|http://mathworld.wolfram.com/Decimal.html], [Decimal Point|http://mathworld.wolfram.com/DecimalPoint.html], [Decimal Comma|http://mathworld.wolfram.com/DecimalComma.html], and [Repeating Decimal|http://mathworld.wolfram.com/RepeatingDecimal.html].
16
17 ----
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19 h2. Decimal observations
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21 h3. Arabic - Saudi Arabia and some provinces
22 !decimal-ar1.png|align=right!
23 The [math book|Census.Bibliography#math9-SaudiAr] shows some examples about decimal Arabic context in page 12.
24 [Download and preview the book|http://www2.moe.gov.sa/ebooks/9/????%20??????%20???????%20-%20?????%20???????%20?????%20-%20?????????.pdf].
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26 h3. Spanish
27 !decimal-sp1.png|align=right!
28 In [Mathematics for Applied Science book|Census.Bibliography#matematica-aplicadas], the example represents decimal in Spanish language.
29 [Go directly to page 8|http://books.google.com.eg/books?id=uxauLevnXxUC&lpg=PA170&ots=1pMGHCQ9Cq&dq=matem%C3%A1ticas%20coeficiente%20binomial&hl=en&pg=PA8#v=onepage&q=decimal&f=false].
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31 h3. English
32 !decimal-en1.png|align=right!
33 In [Algebra book|Census.Bibliography#algebra-Downing] we find the decimal fraction in English context.
34 [Preview the example in page 49|http://books.google.com/books?id=RiX-TJLiQv0C&lpg=PA36&dq=absolute%20value&pg=PA49#v=onepage&q=Decimal%20&f=false].
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36 h3. Dutch
37
38 !decimal-du1.png|align=right!
39 The Dutch book shows the examples which represents decimal in page number 72 .
40 [find the book in bibliography|Census.Bibliography#BasisboekWiskunde-JanvandeCraats].
41 [Download the book|http://staff.science.uva.nl/~craats/BasisboekWiskunde2HP.pdf].
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43
44 ----
45
46 h2. Decimal Point observations
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48 h3. Arabic - Saudi Arabia and some provinces
49 !decimalPoint-ar1.png|align=right!
50 In [Saudi math book for grade V|Census.Bibliography#math5-SaudiAr] we find in page 60 an example shows the decimal point in Arabic context (the book uses comma instead of point).
51 [Download and preview the book|http://www2.moe.gov.sa/ebooks/5/%D8%A7%D9%84%D8%B5%D9%81%20%D8%A7%D9%84%D8%AE%D8%A7%D9%85%D8%B3%20%D8%A7%D9%84%D8%A7%D8%A8%D8%AA%D8%AF%D8%A7%D8%A6%D9%8A%20-%20%D8%A7%D9%84%D9%81%D8%B5%D9%84%20%D8%A7%D9%84%D8%AF%D8%B1%D8%A7%D8%B3%D9%8A%20%D8%A7%D9%84%D8%AB%D8%A7%D9%86%D9%8A%20-%20%D8%A7%D9%84%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA.pdf].
52
53 h3. English
54 !decimalPoint-en1.png|align=right!
55 [Algebra book|Census.Bibliography#algebra-Downing] shows the decimal point in English context.
56 [Go directly to the example in page 50|http://books.google.com/books?id=RiX-TJLiQv0C&lpg=PA36&dq=absolute%20value&pg=PA50#v=onepage&q=Decimal%20point&f=false].
57
58 h3. Spanish
59 !decimalPoint-sp1.png|align=right!
60 As found in [Mathematics for Applied Science book|Census.Bibliography#matematica-aplicadas], the example represents {html}\\(pi\\){html} and it uses comma instead of point.
61 [Find the example in page 8|http://books.google.com.eg/books?id=uxauLevnXxUC&lpg=PA170&ots=1pMGHCQ9Cq&dq=matem%C3%A1ticas%20coeficiente%20binomial&hl=en&pg=PA8#v=onepage&q=decimal&f=false].
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63 h3. German
64 !decimalPoint-de1.png|align=right!
65 The German [math book|Census.Bibliography#MathematikerRingenUmEinenBegriff-Taschner] shows the decimal point in the {html}\\(pi\\){html} example.
66 [Find it in page 103|http://books.google.com/books?id=XyvQVQelohUC&lpg=PA72&dq=Dezimalpunkt&lr=&pg=PA103#v=onepage&q=Dezimalpunkt&f=false].
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68 h3. Dutch
69
70 !decimalPoint-du1.png|align=right!
71 In page number 72 the Dutch book shows a lot of examples which use the decimal point.
72 [Go the the book in bibliography|Census.Bibliography#BasisboekWiskunde-JanvandeCraats].
73 [Download and preview the book|http://staff.science.uva.nl/~craats/BasisboekWiskunde2HP.pdf].
74 !decimalPoint1-nl.png|align=right!
75 As we see in this observation on the right they use decimal comma instead as in [Rekenkunde PDF file|http://wiki.math-bridge.org/download/attachments/2884272/hoofdstuk_3.pdf] recommended by Josje Lodder ( [mailto:Josje.Lodder@ou.nl] ).
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77 ----
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79 h2. Repeating Decimal Observations
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81 h3. Arabic - Saudi Arabia and some provinces
82 !repeatingDecimal-ar1.png|align=right!
83 The Arabic [math book|Census.Bibliography#math9-SaudiAr] in page 12 shows how the example represents repeating decimal.
84 [Download and preview the book|http://www2.moe.gov.sa/ebooks/9/????%20??????%20???????%20-%20?????%20???????%20?????%20-%20?????????.pdf].
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86
87 h3. English
88 !repeatingDecimal-en1.png|align=right!
89 The [elementary math|Census.Bibliography#elementaryMath-Rich] represents repeating decimal in English context.
90 [Preview the example in page 110|http://books.google.com/books?id=K2NTM9AqllMC&lpg=PA111&dq=Repeating%20Decimal&pg=PA110#v=onepage&q=Repeating%20%20comma&f=false].
91
92 ----
93
94 h2. Thousands Separator Observations
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96 h3. English
97 !decimalComma-en1.png|align=right!
98 The [Algebra book|Census.Bibliography#algebra-Downing] in page 50 shows an example which represent decimal comma in English context.
99 [Preview the example in page 50|http://books.google.com/books?id=RiX-TJLiQv0C&lpg=PA36&dq=absolute%20value&pg=PA50#v=onepage&q=Decimal%20&f=false].