Write about three rules of Vedic maths with 5 examples each.
Answers
1| Ekanunena Purneva Sutra ⇒
Using this method, those numbers can only be multiplied in which one of the multiplier is 9, 99, 999..... or so on.
Examples of the Calculations using this methods are ⇒
i) 11 × 99
Steps of Calculations ⇒
a) Firstly we will Subtracts the non - nine number (such as 9, 99, 999,.....so on) with 1. The, 11 - 1 = 10. After that, we will subtracts the 9 (or 99 or 999) with the resulting number. 99 - 10 = 89.
b) Then, Combine both of them, 1089. Hence, the Multiplication is 1089.
Similarly, Applying the same method in further calculations.
ii) 12 × 99
12 - 1 = 11 | 99 - 11 = 88
11|88
1188
iii) 5 × 9
5 - 1 = 4|9 - 4 = 5
4|5
45
iv) 9 × 9
9 - 1 = 8| 9 - 8 = 1
8|1
81
v) 88 × 99
88 -1 = 87|99 - 87 = 12
87|12
8712
2| Antyaordasake'pi⇒
For this methods of the Calculation, the sum of the last two digits of the multiplier must be 10. If this Requirement is not filled then the Calculations be this method cannot be possible.
Examples of the Calculations by this Methods are ⇒
i) 34 × 36
Steps of Calculations ⇒
a) , the sum of the last two digits is 10, thus this Methods can be easliy applied.
b) The, we will add 1 in the First digit of the second number and multiply it with the first digit of the first number. 3 × (3 + 1) = 3 × 4 = 12.
c) Then, we will Multiply the second digit of the first number with the second digit of the second number.
4 × 6 = 24.
d) Lastly, combine both of them to get the Exact Multiplication. 1224.
In the same manner, Applying this Method in further calculations.
ii) 42 × 48
4 × 5|2 × 8
20|16
2016
iii) 54 × 56
5 × 6| 4 × 6
30|24
3024
iv) 98 × 92
9 × 10|8 × 2
90|16
9016
v) 28 × 22
2 × 3| 8 × 2
6|16
616
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3| Gyarasguna Sutra ⇒
Using this methods of the Calculations, One number can be easily multiplied with 11.
Gyarasguna is the Sanskrit word which is made up of three words namely, Gyaras, guna & Sutra. Gyaras means 11 and guna means Multiplication and Sutra means Methods.
Examples of the Multiplication be Gyarasguna Sutra are ⇒
i) 44 × 11
Steps of the Calculations ⇒
a) Firstly, Write the non -11 numbers two times.
b) The, Add the Zero in one of the Number.
c) Add both the number now.
440 + 44 = 484
In the same manner, Solving the Others examples by this methods.
ii) 33 × 11
330 + 33 = 363
iii) 95 × 11 = 950 + 95 = 1045
iv) 99 × 11 = 990 + 99 = 1089
v) 67 × 11 = 670 + 67
= 737
Hope it helps. :-)