International Transactions in Mathematical Sciences and Computer
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International Transactions in Mathematical Sciences and ComputerJuly-Dec 2025 Vol:18 Issue:2

Urdhva-Tiryagbhyam Untapped Potential in Division Operations: An Examination

Abstract

A distinctive and effective method for resolving mathematical issues is provided by Vedic Mathematics, which is based on the ancient Indian texts. Among its many strategies, it offers incredibly quick ways to perform fundamental operations like division, multiplication, subtraction, and addition. These sutra- or aphorism-based techniques reduce errors and simplify difficult computations. In this essay, we concentrate on the division operation, which is frequently regarded as one of the trickier and more time-consuming operations in algebra and arithmetic. By means of the sutra Urdhva-Tiryagbhyam (which means "vertically and crosswise"), Vedic Mathematics provides a sophisticated substitute for the laborious and error-prone division techniques found in conventional mathematics.  This sutra has historically been used for multiplication, but it can also be cleverly modified to divide with amazing ease and speed. We illustrate the practical application of Urdhva-Tiryagbhyam to division issues using a number of well-chosen examples from algebra and arithmetic.  To give a comprehensive grasp of the procedure and to demonstrate the effectiveness of the sutra, each example is described in detail.This method is very helpful in academic, competitive, and real-world settings since it not only saves computing time but also improves accuracy. Further research into the uses of Vedic mathematics in contemporary education and problem-solving is made possible by the studies described in this paper. The methods covered have a lot of room for further study and can be incorporated into more comprehensive frameworks for teaching mathematics to improve students' computational abilities.

Author

Kavita Kumari 1, S.R. Singh2, Rashmi Yadav3*  ( Pages 259-272 )
Email:rashmi.y94@gmail.com
Affiliation: Dept. of Mathematics, CCS University Meerut      DOI:

Keyword

Division, Urdhva-Tiryagbhyam sutra, Vedic Math, Arithmetic, Algebra

References

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