Vedic Mathematics (Part 2)

Instrument of Calculation

Continued from Part 1.

4) Lets see how to multiply numbers close to 100.

a) 89 * 92 = 8188 (less than 100)

It is really easy.

Both 89 and 92 are close to 100. 89 is 11 less than 100 and 92 is 8 less than 100.

89 11
92 08

Subtract 89 – 08 or 92 – 11 = 81
Next multiply 11 * 8 = 88
Which is the answer 8188

Didn’t I say it was very simple. No need of a calculator or pen and paper.

b) 102 * 105 = 10710

This number is closer to 100 too, but above 100, so how do you solve it

Same way as above but subtract 102 – 100 and 105 – 100

102 2
105 5

Don’t subtract, instead add 102 + 5 or 105 + 2 = 107 and multipy 5 * 2 = 10
The answer : 10710


5) Lets see how to multiply numbers where the first digits are same and last figure adds upto 10


a) 54 * 56 = 3024 (here first digit 5 is same and 6+4 = 10)

Here we just need to add 5 * (5+1) = 5 * 6 = 30
Next multiply last digits (4 * 6 = 24).

Simple isn’t it. The answer is join above 2 = 3024

b) 49 * 41 = 2009

The only difference here is add 09 instead of just 9.


6) Lets see how to multiply 2digits number with 11

a) 32 * 11 = 352

Here you just need to separate 3 and 2 from 32 and put it in beginning and end of 3 digits.The middle number is just the sum of 3 & 2 from 32.

3(3+2)2 = 352.

b) 39 * 11 = 421

Here it is same as above but as there is one carry from 3+9 = 12, we need to add 1 to 3 = 4. Hence the answer = 421


7) Lets see how to multiply 2digits numbers

a) 32 * 21 = 672

Write it as follows.

3 2
2 1

Next multiply 2 *1 = 2 (which is the rightmost part of answer) Next multiply and add diagonally = 3*1 + 2*2 = 7 (which the middle part of answer)
Next multiply 3 * 2 = 6 (which is the leftmost of the answer)
i.e. 672


b) 45 * 67 = 3015

Here there are carry to the left, so keep on adding the additional numbers to left.

4 5
6 7

Multiply 7*5 = 35 (5 is rightmost of answer, carry 3 to left)
7*4 + 6*5 = 58 + 3(from above) = 61 (keep 1 and carry 6 to left)
Finally 6*4 = 24 + 6 (from above) = 30.
Hence the answer = 3015.

This may seem little difficult in the beginning, but once you start concentrating and using it, this will seem very simple and fun.

There are more to Vedic mathematic, all of which can’t be just put here. This posting was just to make you more curious into this instrument of Calculation.