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.
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