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    Vedic Math Sutras

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Vedic Math Sutra

The system is based on sixteen Vedic sutras or aphorisms, which are actually word-formulae describing natural ways of solving a whole range of mathematical problems.

Sutra and Translation

Nikhilam Navatascaramam Dasatah

All from nine and last from ten

Ekanyunena Purvena

By one less than one before

Paravartya Yojayet

Transpose and apply

Dwandwa Yoga

Duplex combination process

Dhvajanka

On the top of the flag

Antyayovera

Only the last two digits

Anurupyena

Proportionately

Ekadhikena Purvena

By one more than the one before

Yavadunam

By the defeciency

Sankalana Vyavakalanabhyam

By addition and subtraction

Sopantyadvayamantyam

The ultimate and twice the penultimate

Urdhvatiryagbhyam

Vertical and crosswise

Antyayordasake pi

Last totalling to ten

Vilokanam

By mere observation

Yavadunam Tavadunikrtya Varganca Yojayet

Whatever the extent of its deficiency lessen by that amount, and set of the square of that defeciency.