Vedic Mathematics is a system of mathematics which was invented by Indian mathematician Jagadguru
Shri Bharathi Krishna Tirthaji Maharaj in the period between A.D. 1911 and 1918.
It consists of 16 Sutras (methods) and 13 sub-sutras (Sub methods). Vedic Mathematics's methods are
highly efficient when it comes to calculation of regular arithmetics like subtraction, multiplication,
division of numbers and polynomials, squares, square roots, cubes, cube roots, solving equation, partial
fractions, derivatives, conics, etc.
Nikhilam Navatascaramam Dastah:
Popularly called as Nikhilam Sutra and English it means as 'All from 9 and last from 10'.
Nikhilam Sutra in Multiplication is used whenever the numbers are closer to power of 10 i.e. 10, 100,
1000, ....
This creates 3 groups:
1. Numbers are less than power of 10 i.e. 10, 100, 1000, ....
2. Numbers are more than power of 10 i.e. 10, 100, 1000, ....
3. Numbers are present on either side of power of 10 i.e. 10, 100, 1000, ...
Nikhilam Sutra:
Nikhilam Sutra in Division is applied when divisor is closer to and slightly lesser than power of 10.
Examples:
12/9 (See Below)
1. 9 is 1(deficiency) less than 10(nearest power of 10).
2. Split Dividend in 2 parts (Quotient & Remainder) in such a way Remainder to have same digits as
that of Divisor. In this case its 1.
3. Take 1 as it is down.
4. Multiply the above deficiency (1) with the 1 and put below 2 and add them column wise.
5. Thus Quotient=1 & Remainder=3.
3483/99 (See Below)
1. 99 is 01(deficiency) less than 100(nearest power of 10).
2. Split Dividend in 2 parts (Quotient & Remainder) in such a way Remainder to have same digits as
that of Divisor. In this case its 2.
3. Take 3 as it is down.
4. Multiply the above deficiency (01) with the 3 and put them below 4 and 8(as shown), add 1st
column (4+0=4).
5. Multiply the above deficiency (01) with the 4 now and put in next columns (as shown), add 1st
column (8+3+0=11).
6. Repeat this process till a number comes in last column. In this example a number (4) has
appeared in last column so stop here.
7. Thus Quotient=35 & Remainder=18
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