katapayadi

mathematics

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July 17, 2026

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The Katapayadi system is a method developed in India around 500 CE for representing numbers using consonants and vowels. In this system, each of the ten decimal digits is assigned a set of consonants, while vowels do not have numerical value. This allowed numbers to be written as Sanskrit words, with astronomers even creating numerical tables in the form of sentences or poems. This system was a development from earlier Indian numeral systems and contributed to the evolution of the decimal place-value system, which was in use by the early 1st millennium CE.12

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Indian mathematics
Classical mathematical literature
…500 ce), was the so-called katapayadi system in which each of the 10 decimal digits was assigned to a set of consonants (beginning with the letters k, t, p, and y), while vowels had no numerical significance. This meant that numbers could be represented not only by normal-sounding syllables but…
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…500 ce), was the so-called katapayadi system in which each of the 10 decimal digits was assigned to a set of consonants (beginning with the letters k, t, p, and y), while vowels had no numerical significance. This meant that numbers could be represented not only by normal-sounding syllables but…
Read More