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Vedic Math Formulas

The Sixteen Sutras of Vedic Math


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Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas. Sri Sathya Sai Veda Pratishtan has compiled these 16 Sutras and 13 sub-Sutras. The links below take you to the explanation, meaning and methods of application with examples for these Sutras.
  1. Ekadhikina Purvena
    (Corollary: Anurupyena)
    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)
    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)
    Part and Whole

  12. Shesanyankena Charamena
    (Corollary: Vilokanam)
    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)
    The factors of the sum is equal to the sum of the factors

Vedic Math Basics

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