In this series, I would like to bring out the real taste of India like Vedic maths, Hemachandra numbers etc which are fascinating concepts and also explain many complex realities of the universe in simple terms. Today we start with Vedic maths.
Vedic Maths
Any number multiplied by 11:
32 times 11 :
Split 3 and 2
3 2
Add 3 and 2 = 5 and put it in between
Answer is 352.
Similarly,
45 times 11 = 495
75 times 11 = 7125 —> 1 gets carried over and it becomes 825
Base method ( can be used for any numbers close to bases of 10,100,1000 etc )
99 times 97
100 is the base
99 is less than 100 by how much = 01
97 is less than 100 by how much = 03
Now cross subtract : 99 less 3 = 96
Or
97 less 1 = 96
Each way the answer is same so 96 is the first part.
And now multiply the difference 01 times 03 = 03.
So 9603 is the answer.
Do it with 98 times 97 , answer is 9506.
996 times 997
Now take 1000 as the base
996 is less than 1000 by how much = 004
997 is less than 1000 by how much = 003
Now cross subtract : 996 less 003 = 993
Or
997 less 004 = 993
Each way the answer is same so 993 is the first part.
and now multiple the difference 004 times 003 = 012.
So 993012 is the answer.
14 times 12
Base is 10
14 is 4 more than 10
12 is 2 more than 10
So cross Add
First part is 16.
Multiply difference 4 times 2 = 8
So 168 is the answer.
Mental squaring
101 square = 101 times 101
By the same method above, answer is 10201.
102 square = 102 times 102
By the same method, answer is 10404
105 square : 11025
106 square : 11236
Vertically and crosswise sutra:
31 times 12
31
X12
Formula:
a) :: —> multiply last digit of each row for last number
b) :: —> cross multiply 1st digit of 1st line with 2nd digit of second line
cross multiply 2nd digit of 1st line with 1st digit of second line
Add the two for middle number
c) :: —> multiply first digit of each row for 1st number
a. 1 times 2 = 2 – last number
b. 3 times 2 = 6 + 1 times 1 = 1 add the two = 7 – middle number
c. 3 times 1 = 3 – first number
Answer is 372
Now 12 times 34
12
X 34
a. 2 times 4 = 8 – last number
b. 1 times 4 = 4 and 2 times 3 = 6.
4+ 6 = 10 so carry over 1 – middle number is 0.
c. 1 times 3 is 3 + carry over 1 = 4 – first number
Answer is 408.
So the few methods with a few examples of Vedic maths should help you become smarter and not depend always on your smart phone.
Keep massaging your brain and relish the taste of India
Coming up soon with Hemachandra numbers in the next series !