Interesting Concept of Vedic Mathematics
It is very important to learn and understand the three basic concepts to make any calculation easy. These three concepts are the pillars of Vedic Mathematics.
They are,- Base
- Parama Mitra (Compliment)
- Sum Root / Digital Root
BASE
A base is the number which starts with 1 and remaining all other digits are 0’s i.e. Powers of 10 such as 10, 100, 1000, 10000, etc are called as Base numbers.
To understand the base method, first observe whether the numbers are near to the base numbers.
Let us understand with the help of examples.
Example1: Find the base for 12
Since 12 is nearer to base 10 i.e.12 can be written as 10+2
Hence 10 is the working base for 12.
Example2: Find the base for 95
Since 95 is closer to base 100 i.e. 95 can be written as 100 – 5
Hence 100 is the working base for 95.
Example3: Find the base for 989
Since 989 is nearer to base 1000 i.e.989 can be written as 1000 – 11
Hence 1000 is the working base for 989.
Example4: Find the base for 9991
Since 9991 is nearer to base 10000 i.e. 9991 can be written as 10000 – 9
Hence 10000 is the working base for 9991.
PARAMA MITRA
Parama Mitra is a Sanskrit word derived from two words ‘Param’ and ‘Mitra’. Parama means ‘best’ and Mitra means ‘friend’ which literally means Complementary.
Two numbers are said to be Parama Mitra (complimentary) if the sum of the given two numbers is equal to nearest base numbers.
Parama Mitra for numbers 1,2,3, …., 7, 8, 9,10 (to the working base 10) are 9,8,7, …., 3, 2, 1, 0 respectively
Let us see the examples.
Example1: Find the Parama Mitra for number 6.
The nearest base for 6 is 10. By adding 4 to 6 we will get 10 i.e. 6 + 4 = 10
Hence 6 and 4 are complements to each other.
Example2: Find the Parama Mitra for the number 72.
The nearest base for 72 is 100. By adding 28 to 72 we will get 100
i.e.72 +28 = 100
Hence 72 and 28 are complements to each other.
Example3: Find the Parama Mitra for the number 654.
The nearest base for 654 is 1000. By adding 346 to 654 we will get 1000
i.e. 654 +346 = 1000
Hence 654 and 346 are complements to each other.
MULTIPLICATION TABLE USING PARAMA MITRA
Let us discuss how to remember tables using Parama Mitra Method. This method is very useful for those who find difficulty in remembering tables above 5. For using this method, one must be good in tables 2, 3, 4 and 5.
Let us understand with the help of examples.
Example1: Find 7 *8
Step1: Write the Parama mitra of numbers which we want to multiply. In this case, 3 and 2 are the Parama Mitra
of 7 and 8 respectively.
It can be represented as shown in the table
7
|
×
|
8
|
3
|
2
|
Step2: Divide the answer into two parts i.e. LHS and RHS.
LHS=
Step3: Write the difference of numbers cross-wise and
both give the same answer 5.
write the result in the LHS.
It can be written as 7-2 = 5 and 8-3 = 5 both give the same answer 5.
LHS=
Step4: To get the R.H.S we must multiply the Parama mitra
of numbers.
i.e. 3 * 2 = 6 which is the RHS of the answer.
answer=
Step5: Hence 7 *8 = 56
SUM ROOT / DIGITAL ROOT
Digital Root or Sum root is the Single-digit value that results from the continuous summation of digits of the given number.
To calculate the Digital root, we should add all the digits of the given number until the single-digit is reached.
Let us understand with the help of examples.
Example1: Find the Digital Root of 459.
Hence, the Digital root of 459 is 9.
Hence, the Digital root of 9542672 is 8.
These are the basic concept of Vedic Mathematics that makes any calculation very easy and these concepts are the pillars of Vedic Mathematics.
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