Three rules of vedic math with five example
Answers
Step-by-step explanation:
The three rules of the vedic maths with five examples of each are ⇒
1| Navamguna Sutra ⇒
It is the method of the Calculations of the Vedic Maths which can only applied in those numbers which have one multiplier as 9, 99, or 999. It is one of the application of the Vedic Maths.
Examples of the Calculations by this Methods are ⇒
i) 42 × 9
Steps of the Calculations ⇒
a) First write the 9 (or 99 or 999, etc.) as 10 - 1.
b) Then multiply it with other number.
42 (10 - 1) = 420 - 42 = 378
Similarly, Applying this methods in further examples.
ii) 52 × 99
52 (100 - 1) = 5200 - 52
= 5148
iii) 67 × 999
67 (1000 - 1) = 67000 - 67
= 66933
iv) 44 × 99
44(100 - 1) = 4400 - 44
= 4356
v) 5789 × 999999
= 5789 (10000000 - 1) = 57890000000 - 5789
= 57889994211
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2| 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
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3| Antyaordasake'pi⇒
It is the method of the Calculation in which the sum of the last two digits of the multiplier must be 10.
Examples of the Calculations by this Methods are ⇒
i) 34 × 36
Steps of Calculations ⇒
a) In this, the sum of the last two digits is 10, thus this 'Sutra' can be applied.
b) 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, 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 Final answer = 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