Application of Vedic Sutras-I (Elite Project-2024)

“Ekadhikena Purvena” is a Vedic sutra that translates to “by one more than the previous one.” It is primarily used in multiplication, particularly when multiplying numbers close to powers of 10. The method simplifies calculations by focusing on the digits to the left of the base number and adding one to it, which can then be used to quickly find the product. “Nikhilam Navatascharmam Dasatah” means “all from 9 and the last from 10.” This sutra is applied to perform multiplication of numbers that are close to a base, such as 10, 100, or 1000. It involves subtracting each digit of the number from 9, except the last digit, which is subtracted from 10. This technique reduces the complexity of multiplication, especially when dealing with large numbers. In this paper we have studied the application of Ekadhikena purvena and Nikhilam Navatascharmam Dasatah.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-29
DOI
https://doi.org/10.5281/zenodo.18415828
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Application of Vedic Sutras-I (Elite Project-2024)

Kumar Gaurav, Shivangi Agarwal
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Application of Vedic Sutras-I (Elite Project-2024)

Kumar Gaurav, Shivangi Agarwal
article en

Abstract

“Ekadhikena Purvena” is a Vedic sutra that translates to “by one more than the previous one.” It is primarily used in multiplication, particularly when multiplying numbers close to powers of 10. The method simplifies calculations by focusing on the digits to the left of the base number and adding one to it, which can then be used to quickly find the product. “Nikhilam Navatascharmam Dasatah” means “all from 9 and the last from 10.” This sutra is applied to perform multiplication of numbers that are close to a base, such as 10, 100, or 1000. It involves subtracting each digit of the number from 9, except the last digit, which is subtracted from 10. This technique reduces the complexity of multiplication, especially when dealing with large numbers. In this paper we have studied the application of Ekadhikena purvena and Nikhilam Navatascharmam Dasatah.

Zenodo (CERN European Organization for Nuclear Research)
University of Delhi (IN)
Openalex Percentile: Top 6%
History and Theory of Mathematics
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