vedic maths required for simple mathematics techniques.

vedic mathematics

1. Vedic Mathematics

2. History 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 2

3. 3 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: Numbers are less than power of 10 i.e. 10, 100, 1000, .... Numbers are more than power of 10 i.e. 10, 100, 1000, .... Numbers are present on either side of power of 10 i.e. 10, 100, 1000, ....

4. Vinculum Numbers / Vinculum Process Vinculum Process forms the very basic requisites for Vedic Mathematics. Vinculum is a Sanskrit word which means a line i.e. bar over number i.e. negative digits. Vinculum numbers are numbers which have atleast 1 digit as a negative digit. Vinculum numbers/digits are also called as Bar numbers/digits.

5. Eg : Vinculum number converted to normal number using Place Value concept. 5

6. 6 CALCULATE 95X92=??? 105X108=??? 91X106=???

7. Urdhva Tiryakbhyam (Vertically and Crosswise) Commonly called as Urdhva Tiryak Sutra used in multiplication and its a General method which can be applied to any types of numbers. 7

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9. EXAMPLE 24X42 so 24 x 42 (2x4)| (2x2+4x4)| (4x2) 8 |20 |8 ANS: 1008 2. Try 43x23 32x24 9

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11. 11 EXAMPLE

12. 12 Anurupyena Sutra This is a sub-type of Nikhilam Sutra and another  vedic math multiplication trick when numbers are not closer to power of 10 but are closer to themselves. For Example – Multiplication of Numbers like  63 & 67. Process: Working Base(W.B.) concept : As the numbers (63 & 67) are closer to 60, we take working base as 60 (6*10) instead of 100, here factor is 6. i.e. 63 is 3 greater than 60 and 67 is 7 greater than 60 Multiply 3 and 7 to get 21 in 2nd compartment. As base is *10, thus we need to have only 1 digit in 2nd compartment and hence need to carry forward 2 to 1st compartment. Cross Addition of 63 & 7 or 67 & 3 gives 70. Before adding carry forward directly to 1st compartment we need to multiply by the factor (6) and then add the carry forward. This Carry Forward (2) is added to 420 Final Answer: 4221 Same multiplication 63 and 67 can be solved by considering Working Base of 70 (10 * 7) as below.

13. 13 EXAMPLE

14. CALCULATE 15X46 67X65 234X152 14

15. Ekadhikena Purvena Sutra Ekadhikena Purvena is used to find square of number which end with 5.

16. 16 Thanks! Any questions? You can find me at: [email protected]