Vedic Mathematics By Rajat Disawal Introduction Vedic Mathematics

Vedic Mathematics By Rajat Disawal

Introduction Vedic Mathematics deals mainly with various mathematical formulae and their applications for carrying out operations to a very large extent and executing them mentally. In this field of mental arithmetical the works of famous mathematicians Trachtenberg and Lester Meyers (High Speed Maths) are elementary compared to that of Jagadguruji.

Vedic one line division method By current method- By vedic method-

How to solve. Step 1→Decide the successor of the number before nine. (only works with ones place nine). This is our dividend. Step 2→Dividing the number before nine with it's successor we see that the quotient is zero and remainder is 1. ∴, We set down 0 with remainder 1 0 and thus obtain a dividend of 10. Step 3→Dividing 10 by 2 we get 5 as our new dividend with no remainder and thus it is 5 itself. (. 05)

Step 4→The next dividend is 2 and remainder is 1 and form 12 as the next dividend. (. 05 2) Step 5→Carrying on this process of division with 2 we get the 17 th number and 0 remainder. Step 6→On the 18 th digit we get 1 as dividend and 0 as remainder and the process starts to repeat and shows the ending of the decimal value. Note = this is only for 1/19 and may vary on different fractions like 1/29, 1/39, etc…

Sieve of Eratosthenes-All the primes. 1 x 2 o 3 o 4 x 5 o 6 x 7 o 8 x 9 x 10 x 11 o 12 x 13 o 14 x 15 x 16 x 17 o 18 x 19 o 20 x 21 x 22 x 23 o 24 x 25 x 26 x 27 x 28 x 29 o 30 x 31 o 32 x 33 x 34 x 35 x 36 x 37 o 38 x 39 x 40 x 41 o 42 x 43 o 44 x 45 x 46 x 47 o 48 x 49 x 50 x 51 x 52 x 53 o 54 x 55 x 56 x 57 x 58 x 59 o 60 x 61 o 62 x 63 x 64 x 65 x 66 x 67 o 68 x 69 x 70 x 71 o 72 x 73 o 74 x 75 x 76 x 77 x 78 x 79 o 80 x 81 x 82 x 83 o 84 x 85 x 86 x 87 x 88 x 89 o 90 x 91 x 92 x 93 x 94 x 95 x 96 x 97 o 98 x 99 x 100 x Key x= not prime o = prime

How to solve. Step 1→make a grid of numbers till any number. Step 2→cross 1 because in not prime Step 3→the next uncrossed and uncircled number is 2. encircle it and cross all the multiple of it. Step 4→the next uncrossed and uncircled number is 3. encircle it and cross all the multiples of it. Step 5→continue this process the encircled ones are prime.

Magic trick of 1/7 = 0. 142857 How to solve- 2/7 = 0. 285714 Step 1→remember 3/7 = 0. 428571 Step 2→the 4/7 = 0. 571428 1/7. next is in pattern. Step 3→ 2/7 will be in order from ascending order 5/7 = 0. 714285 6/7 = 0. 857142 7/7 = 1 Step 4→and so on Note = to remember 1/7, 7 x 2=14, 14 x 2=28, 28 x 2=56 instead of 56, 57.