Vedic Mathematics, derived from the Atharva Veda, was rediscovered by Swami Bharati Krishna Tirthaji and encompasses 16 sutras and 13 sub-sutras for solving mathematical problems. It offers benefits such as increased speed, improved mental arithmetic, and applicability across various math branches while also reducing stress and enhancing academic performance. The system includes methods for addition, subtraction, multiplication, and division, as well as applications in calculus, geometry, number systems, and set theory.

1. Applications
of
Vedic
Mathematics
Vidya Bharathi High School
Ramachandrapuram
-R.Sai Pranathi
Grade7th
Balavarga

2. Vedic -Mathematics
• The “Vedic Mathematics” is called so because of its
origin from 4th
Veda i.e.,” Atharva Veda”.
• “Atharva Veda” deals with branches like
Engineering, Mathematics, Sculpture, medicine, and
all other sciences with we are today aware of.
• Vedic maths is a system of mathematics that was
rediscovered by Swami Bharati Krishna
Tirthaji in 1965. He claimed that he found 16
sutras (formulas) and 13 sub-sutras (sub-formulas)
in the Vedas that can be used to solve any
mathematical problem.

3. The Benefits of Vedic mathematics
• Speed: Vedic mathematics can be up to 1700% faster
than normal math.
• Mental arithmetic: Vedic mathematics emphasizes
mental arithmetic and rapid calculations.
• Universal applicability: Vedic mathematics can be
applied to various branches of mathematics, including
arithmetic, algebra, geometry, trigonometry, and
calculus.
• Reduced mental stress: Vedic mathematics can help
reduce mental stress and the possibility of
committing errors.
• Improved academic performance: Vedic mathematics
can help improve academic performance and interest
in mathematics.

4. Mathematical Applications that are
used in Arithmetic and Algebra:-
Addition is implemented using Ekadhika and
Sankalana. These sutras are explained as
follows:
a)Ekadhika means „one more‟
Eg: Ekadhika of 0 is 1 Ekadhika of 1 is 2 _ _
_ _ _ _ _ _ _ _ _ Ekadhika of 23 is 24 _ _ _
_ _ _ _ _ _ _ _ Ekadhika of 364 is 365_ _ _
b) Sankalana means „addition Eg: 315 +
‟
315 = 630.
Addition:

6. Subtraction:
Subtraction can be implemented using
Ekanyuna, Purak, Vyavakalana and
Ekadhika. This is explained as follows:
a) Ekanyuna means „one less‟
Eg: one less than 9 is 8.
b) Purak means „complement‟
Eg: complement of 1= 10-1= 9.
c) Vyavakalana means „subtraction‟
Eg: 315-100 = 215

7. (a) 7 cannot be subtracted from 5. Therefore, we
add the complementary digit of 7, the digit 3 to
5, 5 + 3 = 8, write below the sum.
(b) Put a sign of less than on the poorven digit of
5 i.e., 7, such as 7 = 6.
(c) Subtract 2 from 7 (6 – 2 = 4) and write
remainder 4 below.

8. Multiplication is implemented using the following sutras.
Urdhva triyagbhyam, Nikhilam Navatsaram Dasatah
EKANYUNENA PURVENA (by one less than the previous)
EKADHIKENA PURVENA ,
Antyayoreva(Multiplication by 11),
Sopantyadvayamantyam(multiplication by 12),
Anurupyena
Multiplication:

10. Nikhilam Navatsaram
Dasataha

11. Urthva tiryagram

12. Division:
• Paravartya Yojayet: Transpose
and adjust this rule is for dividing
large numbers by number greater
than 10.
• Vestanam:- By Osculation.
Checking divisibility by prime
numbers.
• Dvajanka:- On top of the flag.

14. Squares & Cubes
• Nikhilam Navatascaramam Dasatah:- All from nine
and last from ten.
• Urdhvatiryagbhyam:- Vertically and crosswise.
• Ekadhikena Purvena:- By one more than the one
before.
• Yavadunam Tavadunikrtya Vargancha Yojayet:-
Whatever the extent of its deficiency lessen by that
amount and set the square of the deficiency.
• DwandwaYoga:- Duplex combination.
• Yavadunam:- By the deficiency for claculate Cubes
• Vilokanam:- By mere observation uses for Square
roots and cube roots.

15. Ekadhikena purvena

16. Linear Equations
• Shunyam Saamyasamuccaye:- If the
samuccaya is the same, it is zero.
This sutra is used to solve linear equations of the
forms:
• Anurupye Shunyamanyat:- If one is in ratio, the
other is zero.
• Sankalana Vyavakalanabhyam:- By addition
and subtraction.

17. Temperature Conversion
(using Vinukulam method)
• Eg: 74 F
⁰
• -> 74-30=44
• -> 44/2= 22
• Ans: 22 Celsius.
⁰

18. Time Conversion
• Eg: add 1 hour 35 minutes to 3 hours
55 minutes
• Sol: 135+355
•  490
• Just add 40 time to the above total
•  490+40=530
•  5 hrs 30 min

19. Converting KMs to Miles
• Formula: (No. of Kilometer/8) * 5
• Eg: 80 Km to Miles?
• 80/8 * 5= 10 * 5
•  50 Miles.

20. Vedic mathematics covers a wide
range of mathematical topics:
Calculus: Vedic mathematics includes techniques and sutras for
solving calculus problems, including differential and integral
calculus.
Conics: Vedic mathematics includes techniques and sutras for
solving conic problems, including geometrical and analytical
conics.
Number systems: Vedic mathematics includes topics related to
number systems.
Set theory: Vedic mathematics includes topics related to set
theory.
Vedic Mathematics includes topics related Permutation and
combination and mensurations