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Tamil numerals

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Numeral system
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Tamil is written in a non-Latin script. Tamil text used in this article is transliterated into the Latin script according to theISO 15919 standard.
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A milestone which uses both Tamil and Indo-Arabic Numerals (Tanjore Palace Museum).
Modern Tamil numerals featured on a 100Mauritian rupee note.

TheTamil language hasnumber words and dedicated symbols for them in theTamil script. They have mostly been supplanted byArabic numerals in common usage.

Basic numbering in Tamil (Tamil Illakkam)

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Zero

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Old Tamil possesses a special numerical character for zero(seeOld Tamil numerals below), which is read asandru (literally, no/nothing). Modern Tamil words for zero includeசுழியம் (suḻiyam) orபூஜ்ஜியம் (pūjjiyam).

First ten numbers (முதல் எண்கள்)

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Tamil

Ilakkam

Arabic

Numeral

Tamil word and transliteration
0சுழியம் (suḻiyam)
Old Tamil:பாழ் (pāḻ)[1]
1ஒன்று (oṉṟu)
2இரண்டு (iraṇḍu)
3மூன்று (mūṉṟu)
4நான்கு (nāṉku)
5ஐந்து (aindhu)
6ஆறு (āṟu)
7ஏழு (ēḻu)
8எட்டு (eṭṭu)
9ஒன்பது (oṉpathu)
10பத்து (paththu)

Transcribing other numbers

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Reproductive and attributive prefixes

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Tamil has a numeric prefix for each number from 1 to 9, which can be added to the words for the powers of ten (ten, hundred, thousand, etc.) to form multiples of them. For instance, the word for fifty,ஐம்பது (aimpatu) is a combination of (ai, the prefix for five) andபத்து (pattu, which is ten). The prefix for nine changes with respect to the succeeding base 10.தொ + the unvoiced consonant of the succeeding base 10 forms the prefix for nine. For instance, 90 isதொ +ண் (ண் being the unvoiced version ofணூ), hence,தொண்ணூறு).

Tamil scriptTamil prefixTransliteration
ஓர்ōr
ஈர்īr
மூ
நால்nāl
ai
ஆறுāṟ(u)
ஏழ்ēḻ(u)
எண்eṇ

These are typically void in the Tamil language except for some Hindu references; for example,அட்ட இலட்சுமிகள் (the eight Lakshmis). Even in religious contexts, the Tamil language is usually more preferred for its more poetic nature and relatively low incidence of consonant clusters.

Specific characters

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Unlike other modern Indian number systems, Tamil has distinct digits for 10, 100, and 1000. It also has distinct characters for other number-based aspects of day-to-day life.

tenhundredthousand
daymonthyeardebitcreditas aboverupeenumeral

Powers of ten (பதின்பெருக்கம்)

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There are two numeral systems that can be used in theTamil language: the Tamil system which is as follows[2][clarification needed]

The following are the traditional numbers of theTamiḻakam region.[clarification needed]

Original Tamil system

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Rank10110210310410510610910121015101810201021
Wordsபத்துநூறுஆயிரம்பத்தாயிரம்நூறாயிரம்மெய்யிரம்தொள்ளுண்ஈகியம்நெளைஇளஞ்சிவெள்ளம்ஆம்பல்
Character௰௲௱௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௲௱௲௲௲௲௲௲௲௲௲௲௲௲௲
Transliterationpattunūṟuāyirampattāyiramnūṟāyirammeyyiramtoḷḷuṇīkiyamneḷaiiḷañciveḷḷamāmbal
Translationtenhundredthousandten thousandhundred thousandmillionbillion (milliard)trillion (billion)quadrillion (billiard)quintillion (trillion)hundred quintillionsextillion (trilliard)

Current Tamil system

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See also:Indian numbering system
Rank1051061071081091011101310151017101910211025
Wordsஇலட்சம்பத்து இலட்சம்கோடிபத்துக் கோடிஅற்புதம்நிகர்ப்புதம்கர்வம்சங்கம்அர்த்தம்பூரியம்முக்கொடிமாயுகம்
Character௱௲௲௲௰௲௲௲௲௲௱௲௲௲௱௲௲௲௲௲௲௲௲௲௱௲௲௲௲௲௰௲௲௲௲௲௲௲௲௲௲௲௲௲௰௲௲௲௲௲௲௲௲
Transliterationilaṭcampattu ilaṭcamkōṭipattuk kōṭiaṟputamnikarpputamkarvamśaṅkamarttampūriyammukkoṭimāyukam
Translationlakhten lakhcroreten crorearabkharabnil / hundred kharabpadmashankh / hundred padmahundred shankhten thousand shankhten crore shankh

Partitive numerals (பகுத்தல்)

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Fractions (பின்னம்)

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Proposals to encode Tamilfractions and symbols toUnicode were submitted.[3][4] As of version 12.0,Tamil characters used for fractional values in traditional accounting practices were added to the Unicode Standard.

Transcribing fractions (பின்னம் எழுத்தல்)
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Any fraction can be transcribed by affixing -இல் (-il) after thedenominator followed by thenumerator. For instance, 1/41 can be said asநாற்பத்து ஒன்றில் ஒன்று (nāṟpattu oṉṟil oṉṟu).

The suffixing of the -இல் (-il) requires the last consonant of the number to be changed to its (i) form. For example,மூன்று +இல் (mūṉṟu +-il) becomesமூன்றில் (mūṉṟil); note the (u) has been omitted.

Common fractions (பொது பின்னங்கள்) have names already allocated to them, hence, these names are often used rather than the above method.

Glyphx/320ValueDecimalTamil nameTransliteration
𑿀132013200.003125முந்திரிmuntiri
𑿁232011600.00625அரைக்காணிaraikkaṇi
𑿂43201800.0125காணிkāṇi
𑿄83201400.025அரைய்மாaraimā
𑿆123203800.0375முக்காணிmukkaṇi
𑿈163201200.05மா
𑿋323201100.1இருமாirumā
𑿍483203200.15மும்மாmummā
𑿏64320150.2நான்குமாnāṅkumā
𑿃53201640.015625கால் விசம்kālvicam
ழூ103201320.03125அரை விசம்araivicam
𑿇153203640.046875முக்கால் விசம்mukkālvicam
𑿉,𑿊203201160.0625விசம் /மாகாணிvicam /mākāṇi
𑿌40320180.125அரை கால்araikkāl
𑿎603203160.1875மூ விசம் /மும்மா முக்காணிmūvicam /mummāmukkaṇi
𑿐80320140.25கால்kāl
𑿑,𑿒160320120.5அரைarai
𑿓240320340.75முக்கால்mukkāl
𑿔[1]×1320×1320×0.003125கில்kiḷ

^ when prefixed to a fraction, reduces (downscales) the value of the fraction by ascale of 1/320 (the value of the lowest fraction muntiri).

Other fractions include:

ValueNameTransliteration
316 = 0.1875மும்மாகாணிmummākāṇi
320 = 0.15மும்மாmummā
364 = 0.046875முக்கால்வீசம்mukkālvīsam
380 = 0.0375முக்காணிmukkāṇi
132 = 0.03125அரைவீசம்araivīsam
164 = 0.015625கால் வீசம்kāl vīsam
3320 = 0.009375முக்கால்காணிmukkālkāṇi
1320 = 0.003125முந்திரிmuntiri
31280 = 0.00234375கீழ் முக்கால்kīḻ mukkāl
1640 = 0.0015625கீழரைkīḻarai
11280 = 7.8125×10−4கீழ் கால்kīḻ kāl
11600 = 0.000625கீழ் நாலுமாkīḻ nālumā
35120 ≈ 5.85938×10−4கீழ் மூன்று வீசம்kīḻ mūṉṟu vīsam
36400 = 4.6875×10−4கீழ் மும்மாkīḻ mummā
12500 = 0.0004கீழ் அரைக்கால்kīḻ araikkāl
13200 = 3.12500×10−4கீழ் இருமாkīḻ irumā
15120 ≈ 1.95313×10−4கீழ் வீசம்kīḻ vīsam
16400 = 1.56250×10−4கீழொருமாkīḻorumā
1102400 ≈ 9.76563×10−6கீழ்முந்திரிkīḻmuntiri
12150400 ≈ 4.65030×10−7இம்மிimmi
123654400 ≈ 4.22754×10−8மும்மிmummi
1165580800 ≈ 6.03935×10−9அணுaṇu[2]
11490227200 ≈ 6.71039×10−10குணம்kuṇam
17451136000 ≈ 1.34208×10−10பந்தம்pantam
144706816000 ≈ 2.23680×10−11பாகம்pāgam
1312947712000 ≈ 3.19542×10−12விந்தம்vintam
15320111104000 ≈ 1.87966×10−13நாகவிந்தம்nāgavintam
174481555456000 ≈ 1.34261×10−14சிந்தைsintai
11489631109120000 ≈ 6.71307×10−16கதிர்முனைkatirmuṉai
159585244364800000 ≈ 1.67827×10−17குரல்வளைப்படிkuralvaḷaippaḍi
13575114661888000000 ≈ 2.79711×10−19வெள்ளம்veḷḷam
1357511466188800000000 ≈ 2.79711×10−21நுண்மணல்nuṇmaṇal
12323824530227200000000 ≈ 4.30325×10−22தேர்த்துகள்tērttugaḷ

^Aṇu was considered as the lowest fraction by ancient Tamils as size of smallest physical object (similar to an atom). Later, this term went to Sanskrit to refer directly to atoms.[citation needed]

Decimals (பதின்மம்)

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Decimal point is calledபுள்ளி (puḷḷi) inTamil. For example, 1.1 would be read asஒன்று புள்ளி ஒன்று (oṉṟu puḷḷi oṉṟu). In Sri Lankan Tamil, Thasam தசம்.

Percentage (விழுக்காடு)

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Percentage is known asவிழுக்காடு (viḻukkāḍu) inTamil orசதவீதம் (śatavītam). These words are simply added after a number to form percentages. For instance, four percent isநான்கு சதவீதம் (nāṉku satavītam) orநான்கு விழுக்காடு (nāṉku viḻukkāḍu). Percentage symbol (%) is also recognised and used.

Ordinal numbers (வரிசை எண்கள்)

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Ordinal numbers are formed by adding the suffix -ஆம் (ām) after the number, except for 'First'.

OrdinalTamilTransliteration
Firstமுதல்mudal (/muðal/)
Secondஇரண்டாம்iraṇḍām
Thirdமூன்றாம்mūṉṟām
Fourthநான்காம்nāṉkām
101stநூற்று ஒன்றாம்nūṟṟu oṉṟām

Collective numerals (கூட்டெண்கள்)

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EnglishTamilTransliteration
Singleஒற்றைoṟṟai
Pairஇரட்டைiraṭṭai
Reproductives +வினைச்சொல்Numeric prefix + noun*
Single (pillar), double (pillar)...ஒருக்(கால்),இருக்(கால்)-oruk(kāl),iruk(kāl)*
Distributives +முறைNumeric prefix +muṟai
Once, twice...ஒருமுறை,இருமுறைorumuṟai,irumuṟai
  • As always, when blending two words into one, an unvoiced form of the consonant as the one that the second starts with, is placed in between to blend.

Traditional Tamil counting song

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This song is a list of each number with a concept its primarily associated with.

TamilTransliterationEnglish
ஒரு குலம்oru kulamOne race
ஈரினம்īriṉamTwo sexes – male (ஆண்,āṇ), female (பெண்,peṇ)
முத்தமிழ்muttamiḻThree sections of Tamil – literature (இயல்,iyal), music (இசை,isai), and drama (நாடகம்,nāṭakam)
நான்மறைnāṉmaṟaiFour scriptures
ஐம்புலன்aimpulaṉFive senses
அறுசுவைaṟucuvaiSix tastes – sweet (iṉippu), pungent (kārppu), bitter (kasappu), sour (puḷippu), salty (uvarppu), and astringent (tuvarppu).
ஏழிசைēḻicaiSeven musical notes (kural,tuttam,kaikkiḷai,uḻai,iḷi,viḷari,tāram)
எண் பக்கம்eṇ pakkamEight directions – east (kiḻakku), west (mēṟku), north (vaḍakku), south (teṟku), south-west (teṉ-mēṟku), south-east (teṉ-kiḻakku), north-west (vaḍa-mēṟku), and north-east (vaḍa-kiḻakku).
நவமணிகள்navamaṇikaḷNine gems – diamond (வைரம்,vairam), emerald (மரகதம்,marakatam), blue sapphire (நீலம்,nīlam), garnet (கோமேதகம்,kōmētakam), red coral (பவளம்,pavaḷam), ruby (மாணிக்கம்,māṇikkam), pearl (முத்து,muttu), topaz (புட்பராகம்,puṭparākam), and cat's eye (வைடூரியம்,vaiṭūriyam).
தொன்மெய்ப்பாடுtoṉmeyppāṭuAlso known asnavarasam as per the dance expressions. These are joyful (uvakai), humour (nakai), cries (aḻukai), innocent (vekuḷi), proud (perumitam), fear (accam), disgust (iḷivaral), wonder (maruṭkai), and tranquility (amaiti).[5]

Influence on other Dravidian languages

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As the ancient classicalDravidian language, Tamil numerals influenced and shaped the numerals of the others in the family. The following table compares the mainDravidian languages.

NumberTamilKannadaMalayalamTeluguTuluKolamiKurukhBrahuiProto-Dravidian
1oṉṟuonduonnŭokaṭioñjiokkodoṇṭaasiṭ*oru(1)
2iraṇḍueraḍuraṇṭŭrenḍueraḍ,iraḍirāṭindiṅirāṭ*iru(2)
3mūṉṟumūrumūnnŭmūḍumūjimūndiṅmūndmusiṭ*muC
4nālŭ,nāṉkunālkunālŭnālugunālnāliṅkhčār (II)*nān
5aintu,añjuayduañcŭayiduayin,ainayd3pancē (II)panč (II)*cayN
6āṟuāruāṟŭāruājiār3soyyē (II)šaš (II)*caru
7ēḻuēḷuēḻŭēḍuēḍ,ēl,ēḷēḍ3sattē (II)haft (II)lu
8eṭṭueṇṭueṭṭŭenimidieḍma,yeḍma,eṇma,enmaenumadī3aṭṭhē (II)hašt (II)*eṭṭu
9oṉpatuombattuonpatŭtommidiormbatomdī3naiṃyē (II)nōh (II)*toḷ
10pattuhattupattŭpadipattpadī3dassē (II)dah (II)*pat(tu)

Also,Tamil through thePallava script which itself through theKawi script,Khmer script and other South-east Asian scripts has shaped the numeralgrapheme of most South-east Asian languages.

History

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Before theGovernment of India unveiled as the newrupee symbol, people in Tamil Nadu used the Tamil letter as the symbol. This symbol continues to be used occasionally as rupee symbol by Indian Tamils. It is also used by Tamils in Sri Lanka.[6]

The symbol is also known as thePiḷḷaiyār Suḻi (lit.'Curl ofPiḷḷaiyār'), a symbol that mostTamil Hindus will start off any auspicious document with. It is written to invoke the godPiḷḷaiyār, known otherwise asGanesha, who is the remover of obstacles.[7]

See also

[edit]

References

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  1. ^N. Subrahmanian (1996).Śaṅgam polity: the administration and social life of the Śaṅgam Tamils (3 ed.). Ennes Publications. pp. 235, 416. Retrieved2 December 2015.
  2. ^Selvakumar, V. (2016). History of Numbers and Fractions and Arithmetic Calculations in the Tamil Region: Some Observations.HuSS: International Journal of Research in Humanities and Social Sciences, 3(1), 27-35.https://doi.org/10.15613/HIJRH/2016/V3I1/111730
  3. ^Sharma, Shriramana. (2012).Proposal to encode Tamil fractions and symbols. Retrieved 12 March 2019 fromhttps://www.unicode.org/L2/L2012/12231-tamil-fractions-symbols-proposal.pdf
  4. ^Government of Tamil Nadu. (2017).Finalized proposal to encode Tamil fractions and symbols. Retrieved 12 March 2019 fromhttp://unicode.org/wg2/docs/n4822-tamil-frac.pdf
  5. ^Literary theories in Tamil: with special reference to Tolka:ppiyam. Pondicherry Institute of Linguistics and Culture. 1997. p. 135.
  6. ^B, Sara (5 May 2022)."Travel Insurance for Sri Lanka".InsureMyTrip. Retrieved8 February 2026.
  7. ^Pattanaik, Devdutt (27 January 2015).99 Thoughts on Ganesha. Jaico Publishing House.ISBN 978-81-8495-152-3.
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