Wiki source code of Decimal Numbers
Last modified by Administrator on 2020/08/13 18:57
Hide last authors
| author | version | line-number | content |
|---|---|---|---|
 |
1.1 | 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]. | ||
| 4 | |||
| 5 | Floating point numbers notations vary by the usage of alphabet of digits, the direction, the decimal separator and the thousands separator. | ||
| 6 | |||
| 7 | h3. References | ||
| 8 | |||
| 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. | ||
| 10 | |||
| 11 | Semantically, decimal numbers are representing rational numbers in the form of a sequence of digits. See, among others: | ||
| 12 | |||
| 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 | ---- | ||
| 18 | |||
| 19 | h2. Decimal observations | ||
| 20 | |||
| 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]. | ||
| 25 | |||
| 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]. | ||
| 30 | |||
| 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]. | ||
| 35 | |||
| 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]. | ||
| 42 | |||
| 43 | |||
| 44 | ---- | ||
| 45 | |||
| 46 | h2. Decimal Point observations | ||
| 47 | |||
| 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]. | ||
| 62 | |||
| 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]. | ||
| 67 | |||
| 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] ). | ||
| 76 | |||
| 77 | ---- | ||
| 78 | |||
| 79 | h2. Repeating Decimal Observations | ||
| 80 | |||
| 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]. | ||
| 85 | |||
| 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 | ||
| 95 | |||
| 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]. |