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Encyclopedia > Decimal separator

The decimal separator is a symbol used to mark the boundary between the integral and the fractional parts of a decimal numeral. Terms implying the symbol used are decimal point and decimal comma. Image File history File links Emblem-important. ... The integers are commonly denoted by the above symbol. ... For other meanings of the word fraction, see fraction (disambiguation) A cake with one quarter removed. ... For other uses, see Decimal (disambiguation). ... A numeral is a symbol or group of symbols that represents a number. ...


The decimal separator is mathematically a radix point. In mathematics, radix point refers to the symbol used in numerical representations to separate the integral part of the number (to the left of the radix) from its fractional part (to the right of the radix). ...


The choice of symbol for the decimal separator affects the choice of symbol for the thousands separator. Consequently the latter is treated in this article as well.

Contents

History

In the Middle Ages, before printing, a bar over the units digit was used to separate the integral part of a number from its fractional part, a tradition derived from the decimal system used in Indian mathematics[1]. Its regular usage and classification can be attributed to the Iranian mathematician Al-Khwarizmi. Later, a separator (a short, roughly vertical, ink stroke) between the units and tenths position became the norm. When this character was typeset, it was convenient to use the existing comma (,) or period (.) instead. The Middle Ages formed the middle period in a traditional schematic division of European history into three ages: the classical civilization of Antiquity, the Middle Ages, and modern times, beginning with the Renaissance. ... Overline is a neologism coined in analogy to underline, referring to the typographical feature of a line drawn immediately above the text, for example used to indicate mediaval sigla. ... In mathematics and computer science, a numerical digit is a symbol (a number symbol, e. ... This article is under construction. ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... Soviet postage stamp commemorating the 1200th anniversary of Muhammad al‑Khwarizmi in 1983. ... Typesetting involves the presentation of textual material in an aesthetic form on paper or some other media. ... For other uses, see Comma. ... For other uses, see Full stop (disambiguation). ...


In France, the period was already in use in printing to make Roman numerals more readable, so the comma was chosen. Many other countries also chose to use the comma to mark the decimal units position[2]. It has been made standard by the ISO for international blueprints. Roman numerals are a numeral system originating in ancient Rome, adapted from Etruscan numerals. ... “ISO” redirects here. ...


However, English-speaking countries took the comma to separate sequences of three digits. In the United States, the period (.), which is called a "stop" or "full stop" in some other countries, was used as the standard decimal separator. In the nations of the British Empire, although the period could be used in typewritten material, the point (middle dot: ·), which can also be called an interpunct, was preferred for the decimal separator in technologies that could accommodate it.[3]. This had the advantage of reducing confusion in the countries that used the period to separate groups of digits and it was generally clearer in handwriting (particularly when writing on a dotted baseline as on many forms). However, as the middle dot was already in common use in the mathematics world to indicate multiplication, the SI rejected this use of the middle dot as the decimal separator. However, the use of the period as decimal separator was not banned. British aviation magazines thus switched to the US form in the late twentieth century. When South Africa adopted the metric system, it adopted the comma as its decimal separator. The auxiliary language Interlingua has used the comma as its decimal separator since the publication of the Interlingua Grammar in 1951. The constructed language Esperanto also uses the comma as its official decimal separator. The English language is a West Germanic language that originates in England. ... The British Empire in 1897, marked in pink, the traditional colour for Imperial British dominions on maps. ... An interpunct · is a small dot used for interword separation in ancient Latin script, being perhaps the first consistent visual representation of word boundaries in written language. ... An interpunct · is a small dot used for interword separation in ancient Latin script, being perhaps the first consistent visual representation of word boundaries in written language. ... Look up si, Si, SI in Wiktionary, the free dictionary. ... Look up aviation in Wiktionary, the free dictionary. ... The International System of Units (symbol: SI) (for the French phrase Syst me International dUnit s) is the most widely used system of units. ... An international auxiliary language (sometimes abbreviated as IAL or auxlang) is a language used (or to be used in the future) for communication between people from different nations who do not share a common native language. ... Interlingua is an international auxiliary language (IAL) published in 1951 by the International Auxiliary Language Association (IALA). ... A constructed or artificial language — known colloquially as a conlang — is a language whose phonology, grammar, and/or vocabulary have been devised by an individual or group, instead of having naturally evolved as part of a culture. ... This article is about the language. ...


In the Arab world and Iran, where Arabic digits are used for writing numbers, a different character called momayyez — which is written like a forward slash — is used to separate the integer and fractional parts of numbers. To separate sequences of three digits, a comma or blank space may be used; however, this is not a standard. In Persian, there is a small difference between the "comma" character used in sentences and the comma-like character used to separate sequences of three digits.[1] “Arab States” redirects here. ... Arabic can mean: From or related to Arabia From or related to the Arabs The Arabic language; see also Arabic grammar The Arabic alphabet, used for expressing the languages of Arabic, Persian, Malay ( Jawi), Kurdish, Panjabi, Pashto, Sindhi and Urdu, among others. ... The Momayyez (Ù«) is a decimal separator used in the Arab world and Iran. ... Look up slash in Wiktionary, the free dictionary. ... For other senses of this word, see sequence (disambiguation). ... For information on the programming language Whitespace, see Whitespace programming language. ... “Farsi” redirects here. ...


The separator in non-decimal numeral systems may be referred to as a radix point. A numeral is a symbol or group of symbols, or a word in a natural language that represents a number. ... In mathematics, radix point refers to the symbol used in numerical representations to separate the integral part of the number (to the left of the radix) from its fractional part (to the right of the radix). ...


In 1958, disputes between European and American delegates over the correct representation of the decimal separator nearly stalled the development of the ALGOL language. [4] It has been suggested that ALGOL object code be merged into this article or section. ...


Thousands separator

Numbers with many digits before or after[citation needed] the decimal separator may be divided into groups of three, starting from the decimal separator in both directions. The symbol for this is called the thousands separator or, more generally (see India and China below), digit group separator. If the decimal separator is a point, the thousands separator is often a comma or a space. The latter is recommended in the SI/ISO 31-0[2]; when a space is used, it is often used after the decimal separator too, thus "1 234.567 89". If the decimal separator is a comma, the thousands separator is often a point or a space. Notations like "12,345", "12.345", "12,345.678", and "12.345,678" are ambiguous if the notational system is not known. ISO 31-0 is the introductory part of international standard ISO 31 on quantities and units. ...


Making groups of three digits also emphasizes that there is a base 1000 of the numeral system that is being used (see decimal superbase). Many numeral systems with base 10 use a superimposed larger base of 100, 1000, 10000 or 1000000. ...


The house manuals of style for many publishing organizations state that thousands separators should not be used in normal text for numbers from 1000 to 9999 inclusive where no decimal fractional part is shown (in other words, for four-digit whole numbers). This does not apply in mathematical and other technical contexts.


Examples of use

The following examples show the decimal separator and the thousands separator; the lists are ordered chronologically, by when each country adopted the use:

  • In France, Finland, Hungary, Poland and much of Latin Europe as well as French Canada: 1 234 567,89
  • In Germany, the Netherlands, Belgium, Denmark, Italy, Romania, Sweden and much of Europe: 1 234 567,89 or 1.234.567,89 (in handwriting you may also come across 1·234·567,89)
  • In Switzerland (mainly German-speaking Switzerland): 1'234'567,89
  • In Australia, English Canada, Japan, Korea(both), Malaysia, Singapore, the United Kingdom, and the United States: 1,234,567.89 or 1,234,567·89; the latter is more commonly found in older, and especially handwritten, documents; many British and Canadian schools now teach the SI style with a dot separator, which has become official in Australia.
  • SI style: 1 234 567.89 (dot countries) or 1 234 567,89 (comma countries)
  • In China, the comma is sometimes used to separate blocks of four digits: 123,4567.89, since in Chinese, there is a word for 10,000 (the next new word is for 108).
  • In India, due to a numeral system using lakhs (100,000) and crores (10,000,000), an asymmetric distribution of comma separators is commonly used, for example, 30 million (3 crores) would be written as 3,00,00,000, with commas at the thousand, lakh, and crore levels.

In countries with a decimal comma, the decimal point is also common as the "international" notation and under the influence of e.g. electronic calculators using the decimal point. Most computer operating systems allow selection of the decimal separator and programs that have been carefully internationalised will follow this but some programs ignore it and a few are even broken by it. Latin Europe Latin Europe (Italian, Portuguese and Spanish: Europa latina; French: Europe latine; Romanian: Europa latină; Catalan: Europa llatina; Franco-Provençal: Eropa latina) is composed of those nations and areas in Europe that speak a Romance language and are seen as having a distinct culture from the Germanic and... Penmanship is the art of writing clearly and quickly. ... This article is about the Korean peninsula and civilization. ... Penmanship is the art of writing clearly and quickly. ... Look up si, Si, SI in Wiktionary, the free dictionary. ... Look up si, Si, SI in Wiktionary, the free dictionary. ... A lakh (Hindi: लाख, Urdu: Ù„Ú©Ú¾, Bengali: , Tamil : இலட்சம்) is a unit in the Indian numbering system, widely used both in official and other contexts in Bangladesh, India, Sri Lanka, and Pakistan. ... A crore is a unit in the Indian numbering system, still widely used in Bangladesh, India, Myanmar, Sri Lanka, and Pakistan. ... A modern basic arithmetic calculator A calculator is a device for performing numerical calculations. ... In computing, an operating system (OS) is the system software responsible for the direct control and management of hardware and basic system operations. ...


Dot countries

Decimal Separators: Dot - Blue, Comma - Green, Momayyez - Red, Unknown - Grey

Countries where a dot is used to mark the radix point include: Image File history File links Size of this preview: 800 × 406 pixelsFull resolution (939 × 476 pixel, file size: 69 KB, MIME type: image/png) Decimal Separator Countries: Dot - Blue Comma - Green (except Peru) Momayyez - Red Unknown - Grey I, the copyright holder of this work, hereby release it into the public... Image File history File links Size of this preview: 800 × 406 pixelsFull resolution (939 × 476 pixel, file size: 69 KB, MIME type: image/png) Decimal Separator Countries: Dot - Blue Comma - Green (except Peru) Momayyez - Red Unknown - Grey I, the copyright holder of this work, hereby release it into the public...

Australia, Brunei, Botswana, Canada (English-speaking), Hong Kong, India, Ireland, Israel, Japan, Korea (both North and South), Malaysia, Mexico, New Zealand, Nigeria, Pakistan, People's Republic of China, Peru, Philippines, Singapore, Sri Lanka, Taiwan, Thailand, United Kingdom, United States (including insular areas), Zimbabwe.

The map wrongly shows Peru as a comma country. This article is about the Korean peninsula and civilization. ... North Korea, officially the Democratic Peoples Republic of Korea (DPRK; Korean: Chosŏn Minjujuŭi Inmin Konghwaguk; Hangul: 조선민주주의인민공화국; Hanja: 朝鮮民主主義人民共和國), is a country in eastern Asia... For the history of Korea, see Korea. ... An insular area is United States territory that is neither a part of one of the fifty states nor a part of the District of Columbia, the nations federal district. ...


Comma countries

Countries where a comma is used to mark the radix point include:

Albania, Andorra, Argentina, Austria, Azerbaijan, Belarus, Belgium, Bolivia, Bosnia and Herzegovina, Brazil, Bulgaria, Cameroon, Canada (French-speaking), Costa Rica, Croatia, Cuba, Chile, Colombia, Cyprus, Czech Republic, Denmark, Dominican Republic, Ecuador, El Salvador, Estonia, Faroes, Finland, France, Germany, Greece, Greenland, Guatemala, Honduras, Hungary, Indonesia, Iceland, Italy, Latvia, Lithuania, Luxembourg (uses both separators officially), Macedonia, Moldova, Netherlands, Norway, Nicaragua, Panama, Paraguay, Poland, Portugal, Romania, Russia, Serbia, Slovakia, South Africa (officially, but dot point is commonly used in business), Slovenia, Spain, Sweden, Switzerland, Turkey, Ukraine, Uruguay, Venezuela, Vietnam

The Faroe Islands (Faroese: Føroyar, meaning Sheep Islands) are a group of islands in the north Atlantic Ocean between Scotland and Iceland. ... Not to be confused with Republika Srpska. ...

Momayyez countries

Bahrain, Iran, Iraq, Kuwait, Oman, Qatar, Saudi Arabia, Syria, UAE The Momayyez (Ù«) is a decimal separator used in the Arab world and Iran. ... UAE redirects here; for other uses of that term, see UAE (disambiguation) The United Arab Emirates is an oil-rich country situated in the south-east of the Arabian Peninsula in Southwest Asia, comprising seven emirates: Abu Dhabi, Ajman, Dubai, Fujairah, Ras al-Khaimah, Sharjah and Umm al-Quwain. ...


See also

Algorism comprises all of the rules of performing arithmetic computations using a decimal system for representing numbers in which numbers written using ten symbols having the values 0 through 9 are combined using a place-value system (positional notation), where each symbol has ten times the weight of the one...

References

  1. ^ Reimer, L. and Reimer, W. Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Vol. 2. 1995. pp.22-22. Parsippany, NJ: Pearson Education, Inc. as Dale Seymor Publications. ISBN 0-86651-823-1
  2. ^ Enciclopedia Universal Santillana, 1996 by SANTILLANA S.A., Barcelona, Spain. ISBN 84-294-5129-3. Comma, def.2: "coma: MAT. Signo utilizado en los números no enteros para separar la parte entera de la parte decimal o fraccionaria; p.ej., 2,123."
  3. ^ Reimer, L. and Reimer, W. Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Vol. 1. 1990 p.41. Parsippany, NJ: Pearson Education, Inc. as Dale Seymor Publications. ISBN 0-86651-509-7
  4. ^ Perlis, Alan, The American Side of the Development of ALGOL, ACM SIGPLAN Notices, August 1978.

  Results from FactBites:
 
DecimalFormat (Java 2 Platform SE v1.4.2) (2531 words)
The grouping separator is commonly used for thousands, but in some countries it separates ten-thousands.
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Decimal - Encyclopedia, History, Geography and Biography (1490 words)
Decimal notation is the writing of numbers in the base-ten numeral system, which uses various symbols (called digits) for ten distinct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent numbers.
These digits are often used with a decimal separator which indicates the start of a fractional part, and with one of the sign symbols + (positive) or − (negative) in front of the numerals to indicate sign.
Decimal fractions are commonly expressed without a denominator, the decimal separator being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator.
  More results at FactBites »


 

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