The 16 Sutras
Vedic Mathematics is a collection of 16 Word-Formulae (Sutras) that relate to natural mental processes. Click on a Sutra to explore its deeper meaning.
1. Ekadhikena Purvena
"By one more than the previous one"
2. Nikhilam Navatashcaramam Dashatah
"All from 9 and the last from 10"
3. Urdhva-Tiryagbyham
"Vertically and crosswise"
4. Paraavartya Yojayet
"Transpose and apply"
5. Shunyam Saamyasamuccaye
"When the sum is the same that sum is zero"
6. (Anurupye) Shunyam Anyat
"If one is in ratio, the other is zero"
7. Sankalana-vyavakalanabhyam
"By addition and by subtraction"
8. Puranapuranabyham
"By the completion or non-completion"
9. Chalana-Kalanabyham
"Differences and Similarities"
10. Yaavadunam
"Whatever the extent of its deficiency"
11. Vyashtisamanstih
"Part and Whole"
12. Shesanyankena Charamena
"The remainders by the last digit"
13. Sopantyadvayamantyam
"The ultimate and twice the penultimate"
14. Ekanyunena Purvena
"By one less than the previous one"
15. Gunitasamuchyah
"The product of the sum is equal to the sum of the product"
16. Gunakasamuchyah
"The factors of the sum is equal to the sum of the factors"