What are the rules of vedic maths with 5 examples each?
Answers
The rules of vedic maths with 5 examples.
Explanation:
There are 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be used for problems related in arithmetic, algebra, geometry, calculus and conics.
Here are a few Sutras with examples:
Ekadhikena purvena: Square of the sum ending in five.
Example: 15² If the number ends in 5, the square ends in 5.
Answer as taking remaining digits other than 5 adding 1 to it and multiplying. 1 + 1 = 2 (1 × 2 = 2) ⇒ 15² = 225.
Nikhilam Navatashcaramam: This method may be used for the calculation of numbers of the same base.
It's 102 x 104. Here the base is 100, the exceptions are 2 and 4.
And the variance of one number and the other number is 106.
The product of this base sum is 10600.
The product of the difference is 8. Add 10600 + 8 now.
Thus: 102 x 104 = 10608.
To know more:
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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.