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The Indian numbering system is used in Indian English and the Indian subcontinent to express large numbers. Commonly used quantities include lakh (one hundred thousand) and crore (ten million) – written as 1,00,000 and 1,00,00,000 respectively in some locales. [1]
A lakh (/ l æ k, l ɑː k /; abbreviated L; sometimes written lac [1]) is a unit in the Indian numbering system equal to one hundred thousand (100,000; scientific notation: 10 5). [ 1 ] [ 2 ] In the Indian 2, 2, 3 convention of digit grouping , it is written as 1,00,000. [ 3 ]
Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and it is the largest number in English not containing the letter 'l' in its name.
Crore (/ k r ɔːr /; abbreviated cr) denotes the quantity ten million (10 7) and is equal to 100 lakh in the Indian numbering system.In many international contexts, the decimal quantity is formatted as 10,000,000, but when used in the context of the Indian numbering system, the quantity is usually formatted 1,00,00,000.
Lakh and crore are common enough to have entered Indian English. For number 0, Modern Standard Hindi is more inclined towards śūnya (a Sanskrit tatsama ) and Standard Urdu is more inclined towards sifr (borrowed from Arabic), while the native tadbhava -form is sunnā in Hindustani.
In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale) may be named. The choice of roots and the concatenation procedure is that of the standard dictionary numbers if n is 9 or smaller. For larger n (between 10 and 999), prefixes can be constructed based on a system described by Conway and Guy. [17]
The ultimate in large numbers was, until recently, the concept of infinity, a number defined by being greater than any finite number, and used in the mathematical theory of limits. However, since the 19th century, mathematicians have studied transfinite numbers , numbers which are not only greater than any finite number, but also, from the ...
The Devanagari numerals are the symbols used to write numbers in the Devanagari script, predominantly used for northern Indian languages. They are used to write decimal numbers, instead of the Western Arabic numerals .