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词条 Indian numbering system
释义

  1. Use of separators

  2. Names of numbers

  3. Vedic numbering systems

  4. Usage in different languages

  5. References

{{refimprove|date=January 2018}}{{Contains Indic text}}

The Indian numbering system is used in the Indian subcontinent (Bangladesh, India, Nepal, Maldives, Pakistan and Sri Lanka) and in Burma. The terms lakh (100,000 or 1,00,000 in Indian notation) and crore (10,000,000 or 1,00,00,000)[1] are used in Indian English to express large numbers. For example, in India 150,000 rupees is called 1.5 lakh rupees, written {{INR}}1,50,000; while 30,000,000 (thirty million) rupees is called 3 crore rupees, written {{INR}}3,00,00,000 with commas at the thousand, lakh, and crore levels; and 1,000,000,000 (one billion) rupees is called 100 crore rupees or one arab अरब, written {{INR}}1,00,00,00,000. There are also words for numbers larger than 1 crore, but these are not commonly used and unfamiliar to most speakers. In common parlance, the thousand, lakh, crore terminology repeats for larger numbers: thus 1,000,000,000,000 (one trillion) becomes 1 lakh crore, written as 10,00,00,00,00,000.

The Indian number-word system corresponds to the western system for the first six powers of ten: one, ten, one hundred, one thousand, ten thousand. For higher powers, the names no longer correspond. In the Indian system, the next powers of ten are called one lakh, ten lakh, one crore, ten crore, one hundred crore, and so on: there are the single words lakh = 105 and crore = 107. In the Western system, the next powers of ten are called one hundred thousand, one million, ten million, one hundred million, one billion, and so on: there are the single words million = 106, billion = 109, trillion = 1012, etc.

The written numbers differ only in the placement of commas, which group the digits into powers of one hundred in the Indian system (except for the first thousand), and into powers of one thousand in the Western system. The Indian and English systems both use the decimal point and the comma digit-separator, while some other countries using the Western number-word system use the decimal comma, and the space or point to separate digits in powers of one thousand.

Use of separators

The Indian numbering system uses separators differently from the international norm. Instead of grouping digits by threes as in the international system, the Indian numbering system groups the rightmost three digits together (until the hundreds place), and thereafter groups by sets of two digits.[2] One trillion would thus be written as 10,00,00,00,00,000 or one lakh crore (or 10 kharab). This makes the number convenient to read using thousand, lakh, crore terminology. Thus:

Indian systemWestern systemIn words (Indian)In words (Western)
5,00,000500,000Five lakh(s)Five hundred thousand
12,12,12,123121,212,123Twelve crore, twelve lakh, twelve thousand, one hundred and twenty-threeOne hundred (and) twenty-one million, two hundred (and) twelve thousand, one hundred (and) twenty-three
1,700,00,00,00017,000,000,000One thousand seven hundred croreSeventeen billion
67,89,000,00,00,00067,890,000,000,000Sixty-seven lakh, eighty-nine thousand croreSixty-seven trillion, eight hundred ninety billion

This accords with the Indian numbering system, which has units for thousands, hundreds of thousands, tens of millions, etc.

Names of numbers

The table below follows the short scale usage of one billion being one thousand million. In India, Bangladesh and Pakistan, following former British usage, the long scale was used, with one billion equivalent to one million million.

Names of numbers
Hindi / Urdu / Tamil / Telugu / Bengali / Sylheti / Marathi / Kannada (transliteration)
South Asian English
Indian figure Power
notation
International figure[3] Short scale Western
(long scale Western)
hi|एक}} / {{lang|ur|{{nq|ایک}}}} ({{transl|ur|ALA-LC|ek}}) /{{Lang|ta|ஒன்று/ஏகம்}} ({{transl|ta| Ondru/Ekam}}) / {{Lang|te|ఒకటి }} ({{transl|te|okati}}) / {{Lang|bn|এক}} ({{transl|bn|êk}}) / {{Lang|syl|ꠄꠇ}} ({{transl|syl|ekh}}) / एक / {{Lang|ka|ಒಂದು}}
one
11001 One
hi|दस}} / {{lang|ur|{{nq|دس}}}} ({{transl|ur|ALA-LC|das}}) /{{Lang|ta|பத்து}} ({{transl|ta| Pathu}}) / {{Lang|te|పది }} ({{transl|te|padi}}) / {{Lang|bn|দশ}} ({{transl|bn|dôsh}}) / {{Lang|syl|ꠖꠡ}} ({{transl|syl|dosh}}) / दहा / {{Lang|ka|ಹತ್ತು}}
ten
1010110 Ten
Scientific (SI prefix): deca-
hi|सौ}} / {{lang|ur|{{nq|سو}}}} ({{transl|ur|ALA-LC|sau}}) /{{Lang|ta|நூறு}} ({{transl|ta| Nooru}}) / {{Lang|te|వంద }} ({{transl|te|vandha}}) / {{Lang|bn|একশ}} ({{transl|bn|êkshô}}) / {{Lang|syl|ꠄꠇ꠆ꠡ}} ({{transl|syl|ekhsho}}) / शंभर / {{Lang|ka|ನೂರು}}
one hundred
100102100 One hundred
SI prefix: hecto-
hi|सहस्र}} ({{transl|hi|sahasra}}) / {{lang|hi|हज़ार}} / {{lang|ur|{{nq|ہزار}}}} ({{transl|ur|ALA-LC|hazār}}) / {{Lang|ta|ஆயிரம்}} ({{transl|ta| Aayiram}}) / {{Lang|te|వెయ్యి }} ({{transl|te|Veyyi}}) / {{Lang|bn|হাজার}} ({{transl|bn|hazar}}) / {{Lang|syl|(ꠢ)ꠀꠎꠣꠞ}} ({{transl|syl|(h)azar}}) / एक हजार / {{Lang|ka|ಸಾವಿರ}}
one thousand
1,0001031,000 One thousand
SI prefix: kilo-
hi|दस हज़ार}} / {{lang|ur|{{nq|دس ہزار}}}} (das hazār) /{{Lang|ta|பத்தாயிரம்/ஆயுதம்}} ({{transl|ta| Pathaayiram/Ayutham}}) / {{Lang|te|పది వేలు }} ({{transl|te|padi vēlu}}) /{{Lang|bn|দশ হাজার}} ({{transl|bn|dôsh hazar}}) / {{Lang|syl|ꠖꠡ (ꠢ)ꠀꠎꠣꠞ}} ({{transl|syl|dosh (h)azar}}) / दहा हजार / {{Lang|ka|ಹತ್ತು ಸಾವಿರ}}
ten thousand
10,00010410,000 Ten thousand
hi|लाख}} / {{lang|ur|{{nq|لاکھ}}}} (lākh) / {{Lang|ta|இலட்சம்/நியுதம்}} ({{transl|ta| Latcham/Niyutham}}) / {{Lang|te|లక్ష }} ({{transl|te|Lakṣa}}) / {{Lang|bn|লাখ}} ({{transl|bn|lakh}}) / {{Lang|syl|ꠟꠣꠈ}} ({{transl|syl|lakh}}) / एक लाख / {{Lang|ka|ಲಕ್ಷ}}
one lakh (also lac)
1,00,000105100,000 One hundred thousand
hi|अदन्त}} / {{lang|ur|{{nq|ادنت}}}} (adant) / {{lang|hi|दस लाख}} / {{lang|ur|{{nq|دس لاکھ}}}} (das lākh) / {{Lang|ta|பத்து இலட்சம்}} ({{transl|ta| Pathu Latcham}}) /{{Lang|te|పది లక్షలు }} ({{transl|te|padi Lakṣalu}}) / {{Lang|bn|দশ লাখ}} ({{transl|bn|dôsh lakh}}) / {{Lang|syl|ꠖꠡ ꠟꠣꠈ}} ({{transl|syl|dosh lakh}}) / दहा लाख / {{Lang|ka|ಹತ್ತು ಲಕ್ಷ}}
ten lakh
10,00,0001061,000,000 One million
SI prefix: mega-
hi|करोड़}} / {{lang|ur|{{nq|کروڑ}}}} (karoṛ) / {{Lang|ta|கோடி}} ({{transl|ta| Kodi}}) / {{Lang|te|కోటి }} ({{transl|te|Kōṭi}})/ {{Lang|bn|কোটি}} ({{transl|bn|koti}}) / {{Lang|syl|ꠇꠥꠐꠤ}} ({{transl|syl|kuti}}) / एक कोटी / {{Lang|ka|ಕೋಟಿ}}
one crore
1,00,00,00010710,000,000 Ten million
hi|दस करोड़}} / {{lang|ur|{{nq|دس کروڑ}}}} (das karoṛ) / {{Lang|ta|அற்புதம்}} ({{transl|ta| Arputham}}) / {{Lang|te|పది కోట్లు}} ({{transl|te|Padi kōṭlu}})/ {{Lang|bn|দশ কোটি}} ({{transl|bn|dôsh koti}}) / {{Lang|syl|ꠖꠡ ꠇꠥꠐꠤ}} ({{transl|syl|dosh kuti}}) / दहा कोटी / {{Lang|ka|ಹತ್ತು ಕೋಟಿ}}
ten crore
10,00,00,000108100,000,000 One hundred million
hi|अबज़}} (abaj) / {{lang|ur|{{nq|ارب}}}} (arab) / सौ करोड़ (sau karoṛ) /{{Lang|ta|நிகற்புதம்}} ({{transl|ta| Nigarputham}}) / {{Lang|te|వంద కోట్లు}} ({{transl|te|vandha kōṭlu}})/ {{Lang|bn|একশ কোটি}} ({{transl|bn|êkshô koti}}) / {{Lang|syl|ꠄꠇ꠆ꠡ ꠇꠥꠐꠤ}} ({{transl|syl|ekh arob}}) / शंभर कोटी / {{Lang|ka|ನೂರು ಕೋಟಿ}}
one {{not a typo|arab}} / one hundred crore
100,00,00,0001091,000,000,000 One billion
(one milliard)
SI prefix: giga-
hi|एक हजार करोड़}} (ek hazār karoṛ) / {{lang|ur|{{nq|دس ارب}}}} (das {{not a typo|arab}}) /{{Lang|ta|கும்பம்}} ({{transl|ta| Kumbam}}) / {{Lang|te|వెయ్యి కోట్లు}} ({{transl|te|Veyyi kōṭlu}})/ {{Lang|bn|এক হাজার কোটি}} ({{transl|bn|êk hazar koti}}) / {{Lang|syl|ꠄꠇ (ꠢ)ꠀꠎꠣꠞ ꠇꠥꠐꠤ}} ({{transl|syl|dosh arob}}) / एक हजार कोटी / {{Lang|ka|ಒಂದು ಸಾವಿರ ಕೋಟಿ}}
one thousand crore / ten {{not a typo|arab}}
1,000,00,00,000101010,000,000,000 Ten billion
(ten milliard)
hi|खरब}} / {{lang|ur|{{nq|کھرب}}}} (kharab) / {{Lang|ta|கணம்}} ({{transl|ta| Ganam}}) /{{Lang|te|పది వేల కోట్లు }} ({{transl|te|Padi vēla kōṭlu}}) / {{Lang|bn|দশ হাজার কোটি}} ({{transl|bn|dôsh hazar koti}}) / {{Lang|syl|ꠖꠡ (ꠢ)ꠀꠎꠣꠞ ꠇꠥꠐꠤ}} ({{transl|syl|ekh kharob}}) / दहा हजार कोटी / {{Lang|ka|ಹತ್ತು ಸಾವಿರ ಕೋಟಿ}}
ten thousand crore / one kharab / one hundred {{not a typo|arab}}
10,000,00,00,0001011100,000,000,000 One hundred billion
(one hundred milliard)
{{Lang|hi|एक लाख करोड़}} (ek lākh karoṛ) / {{lang|ur|{{nq|دس کھرب}}}} (das kharab) / {{Lang|ta|கற்பம்}} ({{transl|ta| Karpam}}) / {{Lang|te|లక్ష కోట్లు}} ({{transl|te|Lakṣa kōṭlu}}) / {{Lang|bn|এক লাখ কোটি}} ({{transl|bn|êk lakh koti}}) / {{Lang|syl|ꠟꠣꠈ ꠇꠥꠐꠤ}} ({{transl|syl|dosh kharob}}) / एक लाख कोटी / {{Lang|ka|ಒಂದು ಲಕ್ಷ ಕೋಟಿ}}
{{Anchor|lakh crore}}one lakh crore / ten kharab / one thousand {{not a typo|arab}}
1,00,000,00,00,00010121,000,000,000,000 One trillion
(one billion)
SI prefix: tera-
hi|नील}} / {{lang|ur|{{nq|نیل}}}} (nīl) /{{Lang|ta|நிகற்பம்}} ({{transl|ta| Nikarpam}}) / {{Lang|te|పది లక్షల కోట్లు}} ({{transl|te|Padi Lakṣala kōṭlu}}) / {{Lang|bn|দশ লাখ কোটি}} ({{transl|bn|dôsh lakh koti}}) / ekhsho kharob / दहा लाख कोटी / {{Lang|ka|ಹತ್ತು ಲಕ್ಷ ಕೋಟಿ}}
ten lakh crore / one neel / one hundred kharab / ten thousand {{not a typo|arab}}
10,00,000,00,00,000101310,000,000,000,000 Ten trillion
(ten billion)
hi|एक करोड़ करोड़}} (ek karod karod) / {{lang|ur|{{nq|دس نیل}}}} (das nīl) / {{Lang|ta|பதுமம்}} ({{transl|ta| Padhumam}}) /{{Lang|te|కోటి కోట్లు }} ({{transl|te|Kōṭi kōṭlu}})/ {{Lang|bn|শত লাখ কোটি}} ({{transl|bn|shôtô lakh koti}}) / hazar kharob' / {{Lang|ka|ಒಂದು ಕೋಟಿ ಕೋಟಿ}}
one crore crore / ten neel
1,00,00,000,00,00,0001014100,000,000,000,000 One hundred trillion
(one hundred billion)
{{Lang|hi|पद्म}} / {{lang|ur|{{nq|پدم}}}} (padma) / {{Lang|ta|சங்கம்}} ({{transl|ta| Sangam}}) /{{Lang|te|పది కోటి కోట్లు }} ({{transl|te|Padi Kōṭi kōṭlu}}) / {{Lang|bn|হাজার লাখ কোটি}} ({{transl|bn|hajar lakh koti}}) / dosh (h)azar kharob / {{Lang|ka|ಹತ್ತು ಕೋಟಿ ಕೋಟಿ}}
one padma / one hundred neel / ten crore crore
10,00,00,000,00,00,00010151,000,000,000,000,000 One quadrillion
(one billiard)
SI prefix: peta-
hi|दस पद्म}} / {{lang|ur|{{nq|دس پدم}}}} (das padm) /{{Lang|ta|வெள்ளம்/சமுத்திரம்}} ({{transl|ta| Vellam/Samuthiram}}) / {{Lang|te|వంద కోటి కోట్లు }} ({{transl|te|Vandha Kōṭi kōṭlu}}) / {{Lang|bn|দশ হাজার লাখ কোটি}} ({{transl|bn|dôsh hajar lakh koti}}) / lakh kharob / {{Lang|ka|ನೂರು ಕೋಟಿ ಕೋಟಿ}}
ten padma / one hundred crore crore
100,00,00,000,00,00,000101610,000,000,000,000,000 Ten quadrillion
(ten billiard)
{{Lang|hi|शङ्ख (शंख)}} / {{lang|ur|{{nq|شنکھ}}}} (śaṅkh) / {{Lang|ta|அந்நியம்}} ({{transl|ta| Anniyam}}) / {{Lang|te|వెయ్యి కోటి కోట్లు }} ({{transl|te|Veyyi Kōṭi kōṭlu}}) / {{Lang|bn|শত হাজার লাখ কোটি}} ({{transl|bn|shôtô hajar lakh koti}}) / dosh lakh kharob / {{Lang|ka|ಒಂದು ಸಾವಿರ ಕೋಟಿ ಕೋಟಿ}}
one shankh / one hundred padma / one thousand crore crore / one lakh lakh crore
1,000,00,00,000,00,00,0001017100,000,000,000,000,000 One hundred quadrillion
(one hundred billiard)
hi|गुलशन}} / {{lang|ur|{{nq|گلشن}}}} ({{transl|hi|Gulshan}}) / {{Lang|ta|அர்த்தம்}} ({{transl|ta| Artham}}) / {{Lang|te|పది వేల కోటి కోట్లు }} ({{transl|te|Padi vēla Kōṭi kōṭlu}}) / {{Lang|bn|দশ শত হাজার লাখ কোটি}} ({{transl|bn|dôsh shôtô hajar lakh koti}}) / kuti kharob / {{Lang|ka|ಹತ್ತು ಸಾವಿರ ಕೋಟಿ ಕೋಟಿ}}
(ten shankh / ten thousand crore crore)
10,000,00,00,000,00,00,00010181,000,000,000,000,000,000 One quintillion
(one trillion)
SI prefix: exa-

Vedic numbering systems

There are various systems of numeration found in various ancient Vedic literary works of India. The following table gives one such system used in the Valmiki Ramayana.[4]

Indian figure Power
notation
Equivalent numeric representation Short scale Western
sa|एक}} ({{IAST|eka}}){{0>0,00,00}}11001 One
sa|दश}} ({{IAST|daśa}}){{0>0,00,0}}1010110 Ten
sa|शत}} ({{IAST|śata}}){{0>0,00,}}100102100 One hundred
sa|सहस्र}} ({{IAST|sahasra}}){{0>0,0}}1,0001031,000 One thousand
sa|अयुत}} ({{IAST|ayuta}}){{0>0,}}10,00010410,000 Ten thousand
sa|लक्ष}} ({{IAST|lakṣa}}) 1,00,0001051,00,000 One hundred thousand
sa|नियुत}} ({{IAST|niyuta}}) 1,00,000 daśa10610,00,000 One million
sa|कोटि}} ({{IAST|koṭi}})
1,00,000 śata1071,00,00,000 Ten million
sa|शङ्कु}} ({{IAST|śaṅku}}) 1,00,000 koṭi10121,00000,00,00,000 One trillion
sa|महाशङ्कु}} ({{IAST|mahā-śaṅku}}) 1,00,000 śaṅku10171,00000,00000,00,00,000 One hundred quadrillion
sa|वृन्द}} ({{IAST|vṛnda}}) 1,00,000 mahā-śaṅku10221,00000,00000,00000,00,00,000 Ten sextillion (ten trilliard)
sa|महावृन्द}} ({{IAST|mahā-vṛnda}}) 1,00,000 vṛnda10271,00000,00000,00000,00000,00,00,000 One octillion
sa|पद्म}} ({{IAST|padma}}) 1,00,000 mahā-vṛnda10321,00000,00000,00000,00000,00000,00,00,000 One hundred nonillion
sa|महापद्म}} ({{IAST|mahā-padma}}) 1,00,000 padma10371,00000,00000,00000,00000,00000,00000,00,00,000 Ten undecillion
sa|खर्व}} ({{IAST|kharva}}) 1,00,000 mahā-padma10421,00000,00000,00000,00000,00000,00000,00000,00,00,000 One tredecillion
sa|महाखर्व}} ({{IAST|mahā-kharva}}) 1,00,000 kharva10471,00000,00000,00000,00000,00000,00000,00000,00000,00,00,000 One hundred quattuordecillion
sa|समुद्र}} ({{IAST|samudra}}) 1,00,000 mahā-kharva10521,00000,00000,00000,00000,00000,00000,00000,00000,00000,00,00,000 Ten sexdecillion
sa|ओघ}} ({{IAST|ogha}}) 1,00,000 samudra10571,00000,00000,00000,00000,00000,00000,00000,00000,00000,00000,00,00,000 One octodecillion
sa|महौघ}} ({{IAST|mahaugha}}) 1,00,000 ogha10621,00000,00000,00000,00000,00000,00000,00000,00000,00000,00000,00000,00,00,000 One hundred novemdecillion

Usage in different languages

{{main article|lakh|crore}}
  • In Punjabi, a lakh is called lakkh (Shahmukhi: {{lang|pa|{{nastaliq|لکھ}}}}, Gurmukhi: {{lang|pa|ਲੱਖ}}) and a crore is called karoṛ (Shahmukhi: {{lang|pa|{{Nastaliq|کروڑ}}}}, Gurmukhi: {{lang|pa|ਕਰੋੜ}}).
  • In Bengali, a lakh is also called {{lang|bn|লক্ষ}} lokkho (ardha-tatsama), or laakh (tadbhava) and a crore is called {{lang|bn|কোটি}} koti.
  • In Gujarati, a lakh is called {{lang|gu|લાખ}} lākh and a crore is called {{lang|gu|કરોડ}} karoḍ. A hundred crore is called {{lang|gu|અબજ}} abaj.
  • In Sylheti, a lakh is called {{lang|syl|লাখ}} lakh (lax) and a crore is called {{lang|syl|কোটি}} kuti. A billion is called "arob". And hundred billion is called "kharob".
  • In Kannada, a lakh is called {{lang|kn|ಲಕ್ಷ}} lakṣha and a crore is called {{lang|kn|ಕೋಟಿ}} kōṭi.
  • In Malayalam, a lakh is called {{Lang|ml|ലക്ഷം}} laksham and a crore is called {{Lang|ml|കോടി}} koti.
  • In Marathi, a lakh is called {{Lang|mr|लाख}} lākh and a crore is called {{Lang|mr|कोटी}} koṭi or {{Lang|mr|करोड}} karoḍ, and an {{not a typo|arab}} (109) is called {{Lang|mr|अब्ज}} abja.
  • In Nepali, a lakh is called {{Lang|ne|लाख}} lākh and a crore is called {{lang|ne|करोड}} karoḍ.
  • In Odia (Oriya), a lakh is called {{lang|or|ଲକ୍ଷ}} lakhya and a crore is called {{lang|or|କୋଟି}} koti.
  • In Sinhalese, a lakh is called {{Lang|si|ලක්ෂ}} lakṣa and a crore is called {{Lang|si|කෝටි}} kōṭi.
  • In Tamil, a lakh is called {{Lang|ta|நூறாயிரம்}} nooRaayiram as well as {{Lang|ta|இலட்சம்}} 'ilatcham and a crore is called {{Lang|ta|கோடி}} kodi.
  • In Telugu, a lakh is called {{Lang|te|లక్ష}} lakṣa and a crore is called {{Lang|te|కోటి}} kōṭi.
  • In Urdu, a lakh is called {{lang|ur|{{nq|لاکھ}}}} lākh and a crore is called {{lang|ur|{{nq|کروڑ}}}} karoṛ. A billion is called "arab"{{lang|ur|{{nq|ارب}}}} . And hundred billion/ arab ({{lang|ur|{{nq|ارب}}}}) is called "kharab"( {{lang|ur|{{nq|کھرب}}}}).
  • Lakh has entered the Swahili language as "{{lang|sw|laki}}" and is in common use.
  • In Burmese, crore is called {{my|ကုဋေ}} {{IPA-my|ɡədè|}}. Lakh is used in Burmese English.

References

1. ^{{cite web|title=Knowing our Numbers|url=http://nroer.gov.in/nroer_team/file/readDoc/55b23f2881fccb054b6be25f/|website=Department Of School Education And Literacy|publisher=National Repository of Open Educational Resources|accessdate=13 February 2016}}
2. ^{{Cite web|url=https://www.unicode.org/reports/tr35/tr35-numbers.html#Special_Pattern_Characters|title=UNICODE LOCALE DATA MARKUP LANGUAGE (LDML) PART 3: NUMBERS|last=Emmons|first=John|date=2018-03-25|website=Unicode.org|archive-url=https://web.archive.org/web/20180725183458/https://www.unicode.org/reports/tr35/tr35-numbers.html#Special_Pattern_Characters|archive-date=2018-07-25|dead-url=no|access-date=2018-03-25}}
3. ^Use of separator in digit grouping is following customs in most English speaking countries. For international standard and details cf. Decimal mark
4. ^Valmiki Ramayana Yuddha Kanda

8 : Numerals|Indian mathematics|Economy of India|Economy of Pakistan|Economy of Nepal|Numeral systems|Economy of Bangladesh|Economy of Sri Lanka

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