Question

write five rules of Vedic Mathematics with two example of each

Answer 1

Five Rules of Vedic Mathematics -

1) Nikhilam Sutra -

In this method, Numbers can be multiplied which are close to the power of 10.

Example -

(1) 96 x 97 ( Both the numbers are close to the power of 10)

96 x 97

100 - 96 = 4

100 - 97 = 3

97 - 4  and  96 - 3 = 93

(-4) x (-3) = 12.

So, 96 x 97 = 9312.

(2) 95 x 99

100 - 95 = 5

100 - 99 = 1

95 - 1 and 99 - 5 = 94

(-1) x (-5) = 5

So, 95 x 99 = 9405

___________________________________

2) Gyarasguna Sutra -

In this method, numbers can be easily multiplied by 11. "Gyarasguna word split into three words . Gyara mean 11, guna  mean Multiplication and Sutra mean method.

write non 11 number twice

Add "0" to one of the number

Add both the numbers.

Example -

(1) 55 x 11

55 + 55

550 + 55 = 605

(2) 66 x 11

66 + 66

660 + 66 = 726.

_____________________________________

3) Ekanunena Purneva Sutra -

In this method, numbers can be multiplied in which one of the number is multiplied by 9, 99, 999 .......

First, subtract 1 from 11, then subtract the resulting number from 99 or 999.

Example -

(1) 11 x 99

11 - 1 = 10

99 - 10 = 89

So, 11 x 99 = 1089

(2) 12 x 99

12 - 1 = 11

99 - 11 = 88

So, 12 x 99 = 1188

_____________________________________

4) Antyaordasake Pi.

In this method, Multiplication can be done as follows -

Example -

(1) 42 x 48

First Number = 42

Second number = 48

Add 1 to the first digit of the second number -

= 4 + 1 = 5.

Now Multiply first digits of both numbers

4 x 5 = 20 .

Now, Multiply second digits of both numbers

2 x 8 = 16.

So, 42 x 48 = 2016

(2) 54 x 56

5 x 6 = 30

4 x 6 = 24

So, 54 x 56 = 3024.

______________________________________

5) Navamguna Sutra -

In this method, Multiplication can be done as follows -

Example -

(1) 42 x 9

42 (10-1)

42 x 10 - 42 x 1

420 - 42 = 378.

So, 42 x 9 = 378.

(2) 72 x 99

72 (100 - 1)

72 x 100 - 72 x 1

7200 - 72 = 7128.

So, 72 x 99 = 7128.