Vedic Mathematical SUTRAS

                                  Vedic Mathematical Formulae

                    What we call VEDIC MATHEMATICS is a mathematical elaboration of 'Sixteen Simple Mathematical formulae from theVedas' as brought out by Sri Bharati Krishna Tirthaji. In the text authored by the Swamiji, nowhere has the list of the Mathematical formulae (Sutras) been given. But the Editor of the text has compiled the list of the formulae from stray references in the text. The list so compiled contains Sixteen Sutras and Thirteen Sub - Sutras as stated hereunder.

                                      SIXTEEN SUTRAS

THIRTEEN SUB SUTRAS

Preface about the creator of VEDIC MATHS

Swami Bharati Krishna Tirtha (1884-1960)

Swami Bharati Krishna Tirtha is a great follower of the Veda and sutras. He was also called as the Jagadguru Sankaracharya of Puri. He did his literature on mathematics in the Vedas

After he got a fine knowledge of the Vedas He derived some simple techniques from solving the complicated problems what we normally now called as a 

                           "" VEDIC MATHEMATICS ""

VEDA is derived from a Sanskrit word called vid, meaning to know without the limit.The word Veda covers all Veda-shakhas known to humanity. The Veda is a repository of all knowledge, fathomless, ever revealing as it is

delved deeper.

Vedic Magical Maths

History tells us a lot of things like What to do, whom to do,why to do,where to do,how to do the activities throughout the life simply we called it is as a culture. As the technology goes on increasing we neglecting the history. Friends, just remember India is the only country with fruitful of morals and ethics and also every country is  talking about the technology innovations and discoveries but we already discovered all the things when the world has nothing with them
The Best Example of that was that our epics

Pushpak vimanam is the best example for that even the world don't know about the flying objects but ur historians discovered everything for us 

At present world worrying about the pollution and global warming and everyone worshiping the trees to give better oxygen for better life but our historians  make a culture worship trees and save them

Finally, the theme of the story does not neglect the words said by the historians if you neglect their words the next generation neglects you

In 1918, ur preceptor Sri Bharati Krishna Tirthaji Maharaj (1884-1960) had given rules and 

techniques to do maths fastly and effectively What we know simply called as a 

                           '''''''''''''''    VEDIC MATHS  '''''''''''''

Simple divisibility Rules

Divisibility Rules of the rules of the number 2,3,4,5,6,7,8,9,10,11 given below
Basically, Divisibility rules are classified into two groups 
Root numbers and Non root numbers
Root numbers know simply as prime number like 2,3,5,7,11
Other than the roots words are called Non root numbers or  non prime number
I will clearly explain this root words after the learning the divisibility rules of the Root numbers

Divisibility Rule of ''2'':

When a number is divisible by 2 then the last digit of the number must be divisible by 2

For example :   64

                In the above number last digit is "4" which is a multiple of 2 .Clearly, we can say that the above number 64 is divisible by 2

 Normal checking:  64/2=32

 The above statement is verified
Similarly, for different powers of  " 2 " mean non-roots words like 2^2=4, 2^3=8,-----

Divisibility rule for 2^1=2, we had checked the last digit of the number is divisible by 2 
for 2^2=4 we need to check the last 2 digits of the number must be divisible by 4 then the whole number is divisible by 4
For example,    Is 2345677808 divisible by 4
On sight, we can say that last two digits " 08" divisible by 4 
then the whole number is divisible by " 4 "
Similarly, depending on the power of the 2 we need to take the last digits to check whether the number is divisible by that number r not
If the  divisibility of 
            2^2=4, it is the second power of 2 so we need to check whether last two digits of the number are divisible 4 or not
           2^3=8,it is the third power of 2 so we need to check whether last three digits of the number are divisible by 8 or not
           2^4=16,it is a fourth power of 2 so we need to check whether last four digits of the number are divisible by 16 or not
    Similarly, for all power of the two, we need to check depending on the power and the last digits of the number
For Example,
 Is it 6348394863847634986734837568 divisible by 8
as we know that 8 is the third power of 2 
We check that last three digits of the number 568 are divisible by 8 

568/8=71, so that whole number is divisible by 8

Divisibility Rule of 3:

When a number is divisible by " 3 " then the sum of the all the digits must be divisible by 3

For Example(1), 93 

            In the above number, there are two digits 9and 3

the sum of the two digits 3+9=12 and  check whether sum is divisible 3 r not Clearly, the sum 12 is divisible by 3 then 93 is divisible by 3

        (2) 123456789

                  In the above number, there are 9 digits 

the sum of all the digits  1+2+3+4+5+6+7+8+9=45

45 is divisible by 3 then the whole number is divisible by 3

For the powers of " 3 " 
3^2=9, if the sum of the digits  divisible by 9 then the whole number is divisible by 9
3^3=27, if the sum of the digits divisible by 27 then the whole number is divisible by 27
For Example:    585 
sum of the 585 is 5+8+5=18 
We know 18 is divisible by 9 then the number 585 is divisible by 9

                       

Divisibility Rule of "5":

Of all the divisibility rules, Divisibility rule of 5 is very easy we can easily said at fraction of seconds

If the last digit of the number is either 5 or 0 then we can easily said that the whole number is divisible by 5

For Example:

Is the number 4356534354565345 divisible by 5?

Our answer is YES

On seeing last digit of the number i.e, 5 We simply said that the number is divisible by 5

Divisibility Rule of " 7 ":

                                                                 If a number is divisible by " 7 ", The last digit of the number is doubled and subtracted from the remaining number if the obtaining number is divisible by 7 then the whole number is divisible by " 7 "

For Example: 3024

the last digit of the number is, double the number 

            i.e,4*2=8

Subtract that number from the remaining number i.e, 302 -8=294

At this we use to check directly by 7 or we can do another iteration to get direct multiple of the 7

Again from 294, the last digit is doubled and subtracted from the remaining number

29-4*2=29-8=21

on sight, we can say that 21 is divisible of 7 then the whole number is divisible by "7"

Another Example:

            Is it 398874 is divisible of 7?

Iteration 1: double the last digit and subtract form the number

                39887-4*2=39887-8=39879

Iteration 2: again do the same thing double and subtract

                  3987-9*2=3987-18=3969

Iteration 3: Repeat 

                   396-9*2=396-18=378

Iteration 4:Repeat 

                 37-8*2=37-16=21

on sight that 21 is divisible by 7 

therefore the whole number is divisible by 7

Divisibility Rule of "11":
SPECIAL RULE:
 The special divisibility rule of 11 is successive subtracting the digit values from previous digit place it start from the last digit 
For Example:
                   (1) 1342
last digit from the above number is 2 subtract from the previous digit value =134-2=132
Repeat once last digit of 132 is 2 subtract from 3 
                   =13-2=11
From the above answer 11 it is divisible by 11
Therefore, the whole number is divisible by 11

First Rule:
To verify the divisibility rule of 11, the subtracted value from the sum of even digits place value to sum of odd digits place value is divisible by 11 then the whole number is divisible by 11
For Example:
        (1)1342
sum of the even place digits value = 3+2=5
sum of the odd place digits value = 1+4=5
subtract both=5-5=0 
If the any divisibility we get " 0 " as your answer then it obey's your divisibility rule
       (2) 29435417
sum of the odd place digits value = 2+4+5+1=12
sum of the even place digits value=9+3+4+7=23
subtract both=23-12=11 
on the sight the result is divisible by 11
Then the given number is divisible by 11


FRIENDS PLEASE COMMENT FOR MORE  CONCEPTS WITH SIMPLE AND DIFFERENT METHODS

Special Divisibility Rule of '' 11 ''

Divisibility Rule of "11":
SPECIAL RULE:
 The special divisibility rule of 11 is successive subtracting the digit values from previous digit place it start from the last digit 
For Example:
                   (1) 1342
last digit from the above number is 2 subtract from the previous digit value =134-2=132
Repeat once last digit of 132 is 2 subtract from 3 
                   =13-2=11
From the above answer 11 it is divisible by 11
Therefore, the whole number is divisible by 11

First Rule:
To verify the divisibility rule of 11, the subtracted value from the sum of even digits place value to sum of odd digits place value is divisible by 11 then the whole number is divisible by 11
For Example:
        (1)1342
sum of the even place digits value = 3+2=5
sum of the odd place digits value = 1+4=5
subtract both=5-5=0 
If the any divisibility we get " 0 " as your answer then it obey's your divisibility rule
       (2) 29435417
sum of the odd place digits value = 2+4+5+1=12
sum of the even place digits value=9+3+4+7=23
subtract both=23-12=11 
on the sight the result is divisible by 11
Then the given number is divisible by 11

New Divisibility Rule of ' 7 "

Divisibility Rule of " 7 ":

                                                                 If a number is divisible by " 7 ", The last digit of the number is doubled and subtracted from the remaining number if the obtaining number is divisible by 7 then the whole number is divisible by " 7 "

For Example: 3024

the last digit of the number is, double the number 

            i.e,4*2=8

Subtract that number from the remaining number i.e, 302 -8=294

At this we use to check directly by 7 or we can do another iteration to get direct multiple of the 7

Again from 294, the last digit is doubled and subtracted from the remaining number

29-4*2=29-8=21

on sight, we can say that 21 is divisible of 7 then the whole number is divisible by "7"

Another Example:

            Is it 398874 is divisible of 7?

Iteration 1: double the last digit and subtract form the number

                39887-4*2=39887-8=39879

Iteration 2: again do the same thing double and subtract

                  3987-9*2=3987-18=3969

Iteration 3: Repeat 

                   396-9*2=396-18=378

Iteration 4:Repeat 

                 37-8*2=37-16=21

on sight that 21 is divisible by 7 

therefore the whole number is divisible by 7

Divisibility rule of 5

Divisibility Rule of "5":

Of all the divisibility rules, Divisibility rule of 5 is very easy we can easily said at fraction of seconds

If the last digit of the number is either 5 or 0 then we can easily said that the whole number is divisible by 5

For Example:

Is the number 4356534354565345 divisible by 5?

Our answer is YES

On seeing last digit of the number i.e, 5 We simply said that the number is divisible by 5

Divisibility Rule Of the "3" and its powers

Divisibility Rule of 3:

When a number is divisible by " 3 " then the sum of the all the digits must be divisible by 3

For Example(1), 93 

            In the above number, there are two digits 9and 3

the sum of the two digits 3+9=12 and  check whether sum is divisible 3 r not Clearly, the sum 12 is divisible by 3 then 93 is divisible by 3

        (2) 123456789

                  In the above number, there are 9 digits 

the sum of all the digits  1+2+3+4+5+6+7+8+9=45

45 is divisible by 3 then the whole number is divisible by 3

For the powers of " 3 " 
3^2=9, if the sum of the digits  divisible by 9 then the whole number is divisible by 9
3^3=27, if the sum of the digits divisible by 27 then the whole number is divisible by 27
For Example:    585 
sum of the 585 is 5+8+5=18 
We know 18 is divisible by 9 then the number 585 is divisible by 9

                       
Friends, please leave a comment below It will help me to modify myself

Simple Divisibility rule for 2 and its power

In the Last class, we had seen the Divisibility of " 2"
Similarly, for different powers of  " 2 " mean non-roots words like 2^2=4, 2^3=8,-----
Divisibility rule for 2^1=2, we had checked the last digit of the number is divisible by 2 
for 2^2=4 we need to check the last 2 digits of the number must be divisible by 4 then the whole number is divisible by 4
For example,    Is 2345677808 divisible by 4
On sight, we can say that last two digits " 08" divisible by 4 
then the whole number is divisible by " 4 "
Similarly, depending on the power of the 2 we need to take the last digits to check whether the number is divisible by that number r not
If the  divisibility of 
            2^2=4, it is the second power of 2 so we need to check whether last two digits of the number are divisible 4 or not
           2^3=8,it is the third power of 2 so we need to check whether last three digits of the number are divisible by 8 or not
           2^4=16,it is a fourth power of 2 so we need to check whether last four digits of the number are divisible by 16 or not
    Similarly, for all power of the two, we need to check depending on the power and the last digits of the number
For Example,
 Is it 6348394863847634986734837568 divisible by 8
as we know that 8 is the third power of 2 
We check that last three digits of the number 568 are divisible by 8 
568/8=71, so that whole number is divisible by 8

DIVISIBILITY RULES

Divisibility Rules of the rules of the number 2,3,4,5,6,7,8,9,10,11 given below
Basically, Divisibility rules are classified into two groups 
Root numbers and Non root numbers
Root numbers know simply as prime number like 2,3,5,7,11
Other than the roots words are called Non root numbers or  non prime number
I will clearly explain this root words after the learning the divisibility rules of the Root numbers

Divisibility Rule of ''2'':

When a number is divisible by 2 then the last digit of the number must be divisible by 2

For example :   64

                In the above number last digit is "4" which is a multiple of 2 .Clearly, we can say that the above number 64 is divisible by 2

 Normal checking:  64/2=32

 The above statement is verified

            

     THE MAN WHO KNEW INFINITY

 The man who was born in an impecunious family and strive to elevate his thoughts throughout the world at the age of 24 years and a first Indian as a member of royal society  he is only person who knows the infinity he is none other than the great indian mathmathecian
                                                  """" SRINIVASA RAMANUJAN""""
        Independence day is the greatest indian freedom fight movement against the british ruling on august 15 after movement the people feel proud to born in india because of great mathmathecian birthday srinivasa ramanujan on aug16
            On this auspicious day, we need to rewind achievements the your famed person sir  SRINIVASA RAMANUJA
    
             

Happy Independence Day to all my friends

I am very glad to be an Indian and I am very delight to start my journey towards the websites on Independence Day.