Vedic Math Formulas

Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas.

1. Ekadhikina Purvena
   (Corollary: Anurupyena)
   Meaning: By one more than the previous one
2. Nikhilam Navatashcaramam Dashatah
   (Corollary: Sisyate Sesasamjnah)
   Meaning: All from 9 and the last from 10
   
3. Urdhva-Tiryagbyham
   (Corollary: Adyamadyenantyamantyena)
   Meaning: Vertically and crosswise
   
4. Paraavartya Yojayet
   (Corollary: Kevalaih Saptakam Gunyat)
   Meaning: Transpose and adjust
   
5. Shunyam Saamyasamuccaye
   (Corollary: Vestanam)
   Meaning: When the sum is the same that sum is zero
   
6. (Anurupye) Shunyamanyat
   (Corollary: Yavadunam Tavadunam)
   Meaning: If one is in ratio, the other is zero
   
7. Sankalana-vyavakalanabhyam
   (Corollary: Yavadunam Tavadunikritya Varga Yojayet)
   Meaning: By addition and by subtraction
   
8. Puranapuranabyham
   (Corollary: Antyayordashake'pi)
   Meaning: By the completion or non-completion
   
9. Chalana-Kalanabyham
   (Corollary: Antyayoreva)
   Meaning: Differences and Similarities
10. Yaavadunam
    (Corollary: Samuccayagunitah)
    Meaning: Whatever the extent of its deficiency
    
11. Vyashtisamanstih
    (Corollary: Lopanasthapanabhyam)
    Meaning: Part and Whole
    
12. Shesanyankena Charamena
    (Corollary: Vilokanam)
    Meaning: The remainders by the last digit
    
13. Sopaantyadvayamantyam
    (Corollary: Gunitasamuccayah Samuccayagunitah)
    Meaning: The ultimate and twice the penultimate
14. Ekanyunena Purvena
    (Corollary: Dhvajanka)
    Meaning: By one less than the previous one
    
15. Gunitasamuchyah
    (Corollary: Dwandwa Yoga)
    Meaning: The product of the sum is equal to the sum of the product
    
16. Gunakasamuchyah
    (Corollary: Adyam Antyam Madhyam)
    Meaning: The factors of the sum is equal to the sum of the factors