16 sutras of Vedic Math

16 Sutras Of Vedic Math

16 sutras of Vedic Math


India has been a land of knowledge for many ages. Mathematics has been an important part of Indian Education. Since Vedic Times we have nurtured and cultivated its concepts passing on invaluable knowledge to the next generation. 

This ancient Math is known as Vedic Math, a series of carefully explained techniques developed by our ancestors. Vedic math makes calculations much easier and thus it is crucial for young minds to absorb this knowledge for its usage in swift calculations.

The concept of Vedic Math is based on sixteen sutras. So, we are listing all sixteen sutras with their meaning and uses in the table below.

S.No. Sutras Name Meaning Where to use
Sutra 1 Ekadhikina Purvena By one more than the previous one Squaring of a number ending with 5
Sutra 2 Nikhilam Navatashcaramam Dashatah All from 9 and the last from 10 Multiplication of numbers, which are near to base like 10, 100, 1000
Sutra 3 Urdhva-Tiryagbyham Vertically and crosswise It is the general formula, applicable to all cases of multiplication of two large numbers
Sutra 4 Paraavartya Yojayet Transpose and adjust When the divisor greater than 10
Sutra 5 Shunyam Saamyasamuccaye When the sum is the same that sum is zero If there is a common term in the equation and the sum of the equation is 0 then the common term can be equated to 0
Sutra 6 Anurupyena- Sunyamanyat If one is in ratio, the other is zero To find out the product of two number when both are near the common base like 40, 40, etc. (multiples of powers of 10).
Sutra 7 Sankalana-Vyavakalanabhyam By addition and by subtraction It is used to solve simultaneous simple equations which have the coefficient of the variables interchanged.
Sutra 8 Puranapuranabyham By the completion or Non- completion Used to simplify or solve algebra problems.
Sutra 9 Chalana-Kalanabyham Differences and Similarities To find the roots of a quadratic and to factorize expressions of the 3rd, 4th, and 5th degrees.
Sutra 10 Yaavadunam Whatever the extent of its deficiency Applicable to obtain sq. of a number close to bases of powers of 10
Sutra 11 Vyashtisamanstih Part and Whole Help in the factorization of the quadratic equation of types
Sutra 12 Shesanyankena Charamena The remainders by the last digit It is to express a fraction as a decimal to all its decimal places
Sutra 13 Sopaantyadvayamantyam The ultimate and twice the penultimate -
Sutra 14 Ekanyunena Purvena By one less than the previous one This sutra is used in case of multiplication by 9, 99…
Sutra 15 Gunitasamuchyah The product of the sum is equal to the sum of the product -
Sutra 16 Gunakasamuchyah The factors of the sum are equal to the sum of the factors Used in the factorization of cubics, biquadratics

We have tried to summarize all the invaluable sutras of Vedic Math in the simplest way possible. We hope the table above will help you solve complex problems in seconds and assist you in speed calculations. 

Moonpreneur is dedicated to helping children achieve an optimum level of knowledge in various STEM-related subjects and to make this resolve stronger we have launched MoonMath as one of our programs where a child learns concepts of Vedic Maths, Advanced Mathematics, and Mental Math.

Enroll in our Advanced Math Free workshop or talk to our program advisor at +1 (855) 550-0571

Share this post

Share on facebook
Share on twitter
Share on linkedin
Share on pinterest
Share on email

Recent Posts

Explore by Category



    Select your child's current knowledge in chosen subject

    Notify of
    Inline Feedbacks
    View all comments