Vedic
Mathematics
(https://ramamohanraocheruku.blogspot.com/2019/01/vedic-mathematics.html)
(https://ramamohanraocheruku.blogspot.com/2019/01/vedic-mathematics.html)
Vedic Mathematics
Subtraction
08\02\19
At the outset let us formulate the facts we know and require in a sequential order for our use take complement numbers to the base 10. That is 1-9, 2-8, 3-7, 4-6, 5-5. This is the first requisite to be remembered. This we call as base complement.
Now we come to subtractions.
Here let us consider one
simple example.
987
654
-----
333
-----
This does not require any
effort. Any method will work out.
Now take this example.
753
578
-----
175
-----
{(10+3)-8=5} in the units
place; {(10+4)-7=7} in 10s place and {(6-5) =1} in the 100s place is the
answer. i.e. 175.
Let us now do it by Vedic
Way.
Here we adopt solving the
problem from right to left.
753
578
-----
175
-----
{(7-5) = 2}; but in 10s place
7 can’t be subtracted from 5;
Hence cut 1 from {(7-5) = 2} i.e.
we get 1. Keep it in 100s place of the answer. In 10s place we have 5 and 7.
If 10 is the base, the complement of 7 is 3 and add it to the upper digit 5. You
get 8. But the number 8 in unit’s place is bigger than 3 which is above it.
Hence reduce 1 from 8, you get 7 and keep that in the 10s place of the answer. Now
take the complement of 8 i.e. 2 and add it to its upper number i.e. 3; you get
5 and keep it in the units place of the answer. So we get the answer as 175. A
little practice make you perfect to get the answer in seconds.
This method is hassle free as
it does not require borrowing 10 adding it to upper number and then
subtracting.
Square of any number consisting only 9s by Vedic Way
---------------------------- *****------------------------------------
23\01\19
23\01\19
(99)2 = 9801
For any number containing only 9 repeated in it has the simplest way of finding the product very easily by Vedic way. Of the two 9s available keep one 9 as it is and the next 9 split as 8 and 1 leaving one space in between. That is write it as 98 1. Now in the space available keep as many zeros as the number of 9s the said number contains. I mean write it as 9801. That’s all it is the answer.
Another example: (999)2= 998 1 (2 spaces in between 8 and as there are 2 ‘9’s.). Now keep 2 zeros.
So (999)2= 998001. That’s all.
(9999)2 = 99980001.
(99999)2 = 9999800001 and so on.
Today I would like to introduce to you the method of doubling any number in the Vedic way.To take the method to your heart I would like to introduce 0 to 9 in a typical way. Let us make the single set into 2 sets like the way that follows.
Today I would like to introduce to you the method of doubling any number in the Vedic way.To take the method to your heart I would like to introduce 0 to 9 in a typical way. Let us make the single set into 2 sets like the way that follows.
01234 and
56789. The difference between these two sets is the first digit when doubled
either by adding the same number or by multiplication by 2 we get only a single
digit as answer. Where as in the second set we get a double digit with 1 in the
10's place. With this small concept in mind we take off to double any number.
Initially we
start with a 2 digit number.
'Ankanam
vamathogathih' is the Vedic Rule i.e. counting is to be reckoned from left to
right.
Example:
43 +43 or 43x2
you know both are same.
So from left
multiply 4 by 2. It is 8 and 3 also by 2. It is 6. Hence the answer is 86.
Let us take up
93. 9x2=18 and 3x2=6. Therefore answer is 186.
Let us take 79.
7x2=14 but 9x2=18 (As 9 falls in the second set and as it gets 1 in the 10's
place add that 1 to 4 contained in 14. Therefore it becomes 15. We are only
left with 8 now. Write it simply in the units place. The answer is 158.
Apply the same
method for a bigger number also.
Ex. 75386x2=
(Left to right) (14+1)0(6+1) (6+1)2 = 150772 is the answer.
Hope you have
followed. Write in the comment box only on this issue if you have any doubt.
Any other doubt not pertaining to this will not be answered.
Vedic way of squaring 2 digit numbers
Today I would like to present as to how Vedic
Mathematical application be made in the case of squaring any two digits
(23)2
First
multiply all the digits i.e. 2x3x2 (I have multiplied 2 and 3 along with the 2
available in the square outside the bracket
We
get 2x3x2=12
Now
square the 2 of the number 23, and the next 3 of 23. Write the answer in two places, I mean
Like:
0409.
Now
add the product 12 we got above to
the number 0409 leaving the units place
i.e. 0409
12
------
0529
As 0 has no value the answer is 529. You can
check it with usual method.
2. Now take (89)2 =
8x9x2=
144
6481
144
-------
7921
------
Just understand how great our ancestors are!