Sixteen Ancient Principles Solving Difficult Mathematics

In this article, mathematical solutions is given with sixteen Vedic principles, which were deep rooted in Vedas. Vedic maths fosters easy solutions on difficult challenges of maths.

An ancient form of mathematics- Helping the medieval age group in different mathematical challenges and that is none other than “Vedic maths”. Vedic mathematics has spread to all educational system and to all knowledgeable centers. There is a simplicity and effective measure, which provides lots and lots of benefits to students rather to every age group. Yes, this mathematics can be pursued by any one of any age group.


The history of this mathematics was deep rooted in Vedas that is it has come from Vedic Age. It contains numerous principles of Vedas, which contains basic knowledge of polynomials, algebras, square roots, cube roots and the concept of zero. There are sixteen sutras in Vedic maths rather principles.


16 principles/ sutras make mathematics easy and simple as it has many mental maths formulae and mind works, which directs solutions with appropriate methods. There is another name- Aphorisms, which covers every aspect of mathematics counting geometry, calculus, arithmetic and trigonometry. Sixteen sutras are very easy to memorize and enables quick solutions of lengthy, tough mathematical struggles and challenges.


The sixteen sutras are-

Ekadhikina Purvena: By one more than the previous one

Nikhilam Navatashcaramam Dashatah: All from 9 and the last from 10

Urdhva-Tiryagbyham: Vertically and crosswise

Paraavartya Yojayet: Transpose and adjust

Shunyam Saamyasamuccaye: When the sum is the same that sum is zero

(Anurupye) Shunyamanyat: If one is in ratio, the other is zero

Sankalana-vyavakalanabhyam: By addition and by subtraction

Puranapuranabyham: By the completion or non-completion

Chalana-Kalanabyham: Differences and Similarities

Yaavadunam: Whatever the extent of its deficiency

Vyashtisamanstih: Part and Whole

Shesanyankena Charamena: The remainders by the last digit

Sopaantyadvayamantyam: The ultimate and twice the penultimate

Ekanyunena Purvena: By one less than the previous one

Gunitasamuchyah: The product of the sum is equal to the sum of the product

Gunakasamuchyah: The factors of the sum is equal to the sum of the factors

Effective and significant benefit of vedic maths training is solving and calculations like squares and square roots, reciprocals, cubic equations and high degree calculations. Apart from these, it also portrays a significant role in providing a new approach to mathematics by enriching knowledge and understanding of Mathematics.

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