Question

Five rules of vedic mathematics with two examples 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

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2) Gyarasguna Sutra -

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

write non 11 number twice

Add "0" to one of the numbers

Add both the numbers.

Example -

(1) 55 x 11

55 + 55

550 + 55 = 605

(2) 66 x 11

66 + 66

660 + 66 = 726.

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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

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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.

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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.