Suzhou numerals
Template:Short description Template:More citations needed Template:Infobox Chinese Template:Sidebar with collapsible groups The Suzhou numerals, also known as Template:Transliteration ({{#invoke:Lang|lang}}), is a numeral system used in China before the introduction of Hindu numerals. The Suzhou numerals are also known as Soochow numerals,<ref>Pages 325 and 330, The Journal of the Royal Asiatic Society of Great Britain and Ireland for the Second Half‑year of 1916 (‘The Chinese Numerals and Their Notational System’, L. C. Hopkins)</ref> ma‑tzu,<ref>Page 315, The Journal of the Royal Asiatic Society of Great Britain and Ireland for the Second Half-year of 1916 (‘The Chinese Numerals and Their Notational System’, L. C. Hopkins)</ref> Template:Transliteration ({{#invoke:Lang|lang}}),<ref name="Mandarin Wikipedia">Wikipedia entry in Chinese 苏州码子</ref>Template:Better source needed Template:Transliteration ({{#invoke:Lang|lang}}),<ref name="Mandarin Wikipedia"/>Template:Better source needed Template:Transliteration ({{#invoke:Lang|lang}}),<ref name="Mandarin Wikipedia"/>Template:Better source needed Template:Transliteration ({{#invoke:Lang|lang}})<ref name="Mandarin Wikipedia"/>Template:Better source needed and Template:Transliteration ({{#invoke:Lang|lang}}).<ref name="Mandarin Wikipedia"/>Template:Better source needed
HistoryEdit
The Suzhou numeral system is the only surviving variation of the rod numeral system. The rod numeral system is a positional numeral system used by the Chinese in mathematics. Suzhou numerals are a variation of the Southern Song rod numerals.
Suzhou numerals were used as shorthand in number-intensive areas of commerce such as accounting and bookkeeping. At the same time, standard Chinese numerals were used in formal writing, akin to spelling out the numbers in English. Suzhou numerals were once popular in Chinese marketplaces, such as those in Hong Kong and Chinese restaurants in Malaysia before the 1990s, but they have gradually been supplanted by Hindu numerals.Template:Citation needed This is similar to what had happened in Europe with Roman numerals used in ancient and medieval Europe for mathematics and commerce. Nowadays, the Suzhou numeral system is only used for displaying prices in Chinese markets<ref name="UTN27" /> or on traditional handwritten invoices.Template:Citation needed
SymbolsEdit
In the Suzhou numeral system, special symbols are used for digits instead of the Chinese characters. The digits of the Suzhou numerals are defined between U+3021 and U+3029 in Unicode. An additional three code points starting from U+3038 were added later.
| Number | "Suzhou" | CJK ideographs | ||
|---|---|---|---|---|
| Character | Unicode | Character | Unicode | |
| 0 | Template:Linktext | U+3007 | Template:Linktext | U+96F6 |
| 1 | Template:Linktext | U+3021 | Template:Linktext | U+4E00 |
| 2 | Template:Linktext | U+3022 | Template:Linktext | U+4E8C |
| 3 | Template:Linktext | U+3023 | Template:Linktext | U+4E09 |
| 4 | Template:Linktext | U+3024 | Template:Linktext | U+56DB |
| 5 | Template:Linktext | U+3025 | Template:Linktext | U+4E94 |
| 6 | Template:Linktext | U+3026 | Template:Linktext | U+516D |
| 7 | Template:Linktext | U+3027 | Template:Linktext | U+4E03 |
| 8 | Template:Linktext | U+3028 | Template:Linktext | U+516B |
| 9 | Template:Linktext | U+3029 | Template:Linktext | U+4E5D |
| 10 | Template:Linktext | U+3038 | Template:Linktext | U+5341 |
| 20 | Template:Linktext | U+3039 | Template:Linktext | U+5EFF |
| 30 | Template:Linktext | U+303A | Template:Linktext | U+5345 |
The symbols for 5 to 9 are derived from those for 0 to 4 by adding a vertical bar on top, which is similar to adding an upper bead which represents a value of 5 in an abacus. The resemblance makes the Suzhou numerals intuitive to use together with the abacus as the traditional calculation tool.
The numbers one, two, and three are all represented by vertical bars. This can cause confusion when they appear next to each other. Standard Chinese ideographs are often used in this situation to avoid ambiguity. For example, "21" is written as "{{#invoke:Lang|lang}}" instead of "{{#invoke:Lang|lang}}" which can be confused with "3" ({{#invoke:Lang|lang}}). The first character of such sequences is usually represented by the Suzhou numeral, while the second character is represented by the Chinese ideograph.
NotationsEdit
The digits are positional. The full numerical notations are written in two lines to indicate numerical value, order of magnitude, and unit of measurement. Following the rod numeral system, the digits of the Suzhou numerals are always written horizontally from left to right, just like how numbers are represented in an abacus, even when used within vertically written documents.<ref>Template:Cite book</ref>
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For example:
| lang}} | lang}} | lang}} | lang}} |
| lang}} | lang}} |
The first line contains the numerical values, in this example, "{{#invoke:Lang|lang}}" stands for "4022". The second line consists of Chinese characters that represents the order of magnitude and unit of measurement of the first digit in the numerical representation. In this case "{{#invoke:Lang|lang}}" which stands for "ten yuan". When put together, it is then read as "40.22 yuan".
Possible characters denoting order of magnitude include:
- wàn (Template:Linktext) for myriads (As a variant of the traditional character Template:Linktext, it is used for speed of writing in Suzhou numerals even before simplification of Chinese characters.)<ref>Template:Cite journal</ref><ref>Template:Cite book</ref>
- qiān (Template:Linktext) for thousands
- bǎi (Template:Linktext) for hundreds
- shí (Template:Linktext) for tens
- blank for ones
Other possible characters denoting unit of measurement include:
- yuán (Template:Linktext) for dollar
- máo (Template:Linktext or Template:Linktext) for 10 cents
- lǐ (Template:Linktext) for the Chinese mile
- any other Chinese measurement unit
Notice that the decimal point is implicit when the first digit is set at the ten position. Zero is represented by the character for zero ({{#invoke:Lang|lang}}). Leading and trailing zeros are unnecessary in this system.
This is very similar to the modern scientific notation for floating point numbers where the significant digits are represented in the mantissa and the order of magnitude is specified in the exponent. Also, the unit of measurement, with the first digit indicator, is usually aligned to the middle of the "numbers" row.
Hangzhou misnomerEdit
In the Unicode standard version 3.0, these characters are incorrectly named Hangzhou style numerals. In the Unicode standard 4.0, an erratum was added which stated:<ref name="UTN27">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>
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The Suzhou numerals (Chinese su1zhou1ma3zi) are special numeric forms used by traders to display the prices of goods. The use of "HANGZHOU" in the names is a misnomer.{{#if:|{{#if:|}}
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All references to "Hangzhou" in the Unicode standard have been corrected to "Suzhou" except for the character names themselves, which cannot be changed once assigned, in accordance with the Unicode Stability Policy.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> (This policy allows software to use the names as unique identifiers.)