1. Name: Aman Chaudhary Class: 8th Section: B
Shree Ji Baba Saraswati Vidya Mandir
Senior Secondary School
Mathura.
Name: Aman Chaudhary
Class: 8th
Section: B

2. Vedic Ganit:-
Introduction: Vedic Ganit is the collection of easy mathematic sutra by which we can solve mathematical question/problems easily. We also find solution orally.
It help me in examination time to calculate multiplication, division etc. in less time.

3. Vedic Ganit help me in my mathematics syllabus in following Topic:-
Multiplication
Division
Square
Cube & Cube root

4. Multiplication:- The Sutra are:- 1. Nikhilam Navatas’caramam Das’atah
In multiplication Two Sutra are use.
The Sutra are:- 1. Nikhilam Navatas’caramam Das’atah
2. Urdhva-tiryagbhyam
Example by Nikhilam Navatas’caramam Das’atah:-
91 multiply by 91.
By general method By Vedic method- Nikhilam Navatas’caramam Das’atah
91*
819* /81
In this method, Firstly we are count the
complement of 91-9;second,add them ; third,
subtract the sum from nearest base-100 and
multiply the complement . So, answer is 8281.
56 multiply by 98.
By general method By Vedic method-Nikhilam Navatas’caramam Das’atah
56*
504* /88
In this method, Firstly, we are count the
complement of & 98-2;second, add them ;
third , subtract the sum from nearest base-100 and
multiply the complement. So, answer is 5488.

5. Example by Urdhva-tiryagbhyam:- 12 multiply by 11.
By General method By Vedic Ganit method- Urdhva-tiryagbhyam.
12*
*11
12* /1+2/2
=132
23 multiply by 21.
By General method By Vedic Ganit method- Urdhva-tiryagbhyam.
23*
*21
46* /2+6/3
=483

6. Division:- In division, we are use Dhwajanka method. For example :-
98374 divided by 87.
By general method By Vedic Ganit method-Dhwajanka.
87)98374( :4 :8
113
In this method , we are imagine Dhwaj of first digit
of divider. After we divide 9 by 8 i.e. 1 and 1
reminder. After we subtract 7*1 from 18 and divide
answer by 8 i.e. (18-7)/8=1 and 3 reminder. After
we subtract 7*1 from 33 and divide answer by 8
i.e. (33-7)/8=3 and 2 reminder. After we subtract
7*3 from 27 and divide answer by 8 i.e.
(27- 21)/8=0 and 6 reminder. After we subtract 7*0
from 64 and divide by 8 i.e. (64-0)/8=8.
So, answer is

7. Square:- We are use Yavdunam Sutra to calculate square. For Example:-
Square of 997.
=994/009
=994009
In this method, first, we are subtract number from nearest base-1000 i.e =3; second, calculate square of 3 in three digit : we get first part i.e. 009 & to find last part, subtract 3 from number i.e =994. So, number =

8. Square of 113.
=126/169
=12769
There number is larger than nearest base.
So, first, we are subtract nearest base-100 from number i.e =13; second, calculate square of 13 in two number : we get first part i.e. 69 and 1 carry & to find another part, add 13 to number i.e =126 and add carry. So, number =12769.

9. Cube:- For Example:- We are use Yavdunam Sutra to calculate cube.
Cube of 104.
=112/48/64 =
In this method, first, we find nearest base-100, there number is larger than nearest base. So, second, subtract nearest base from number i.e =4 & we find mass. To find first part, we write cube of mass i.e. 43=64; to find next part, we multiply mass*mass*3 i.e. 4*4*3=48 & to find last part, add number to 2*mass i.e *4=112. So, number is

10. Cube of 996.
= 988/048/064 =
In this method, first, we find nearest base-1000, there number is smaller than nearest base. So, second, subtract number from nearest base i.e =4 & we find mass. To find first part, we write cube of mass i.e. 43=064; to find next part, we multiply mass*mass*3 i.e. 4*4*3=048 & to find last part, subtract 2*mass from number i.e *4=998. There number is smaller than nearest base. So, we subtract first part from nearest base i.e =936 & subtract 1from second part i.e =047.
Note: This type question we subtract carry of first part from second part.

11. Cube root:- For example:-
Cube root of
Step 1 From groups of three starting from the rightmost digit of
In this case one group i.e., 768 has three
digits whereas 32 has only two digits.
Step 2 Take 768.
One’s place of cube of 8 is 2.
So, we take the one’s place of the required cube root as 2.
Step 3 Take the other group, i.e., 32.
Cube of 3 is 27 and cube of 4 is lies between 27
and 64.
The smaller number among 3 and 4 is 3.
Take 3 as ten’s place of the cube root of
Thus, cube root of is 32.