Vedic technique of Multiplication of 12

Vedic   technique of Multiplication of 12

Simple method to make multiplication of any number with 12  simple

Steps to be followed ;

1.      Firstly add zero in front of the number which is to be multiplied by 12.

2.      Secondly double the right-hand number and carry it down if number is two digit.

3.      Thirdly double the second digit from the right and add the next digit in this addition and add the previous carry if it is. Make another carry if number becomes two digits.

4.      Repeat above steps till the last digit of number will be processed .

Eg.       Let    433 x 12

Step 1              0433 x  12

                                    6 double the right – hand digit and carry it down.

Step 2              0433 x  12

                                    96        double the 3 and add 3

Step 3              0433 x  12

1196    double the 4 and add 3 ( sum is two digit i.e. 11)write 1 here and 1  in next step

Last Step         0433 x  12

                                    5196    double the zero add 4 and carry 1 from step 3 operation and add to it.

                        Solution is 5196

Vedic method OF Subtraction from 100/1000/10000

Vedic   method OF Subtraction from 100/1000/10000

The Simple  Vedic Method uses the sutra “All from 9 and last form 10 “ and gives a very simple technique.

The result can be obtained from both left to right as well as right to left with equal ease. It states that the result can be obtained by subtraction of each digit from ‘9’ and the last digit from ‘10’.

e.g.                               10000

                                    -  8678

We can get result from left to right of vice versa from right to left as

            (9 – 8)              (9 – 6)              (9 – 7)              (10 – 8)            =          1322

i.e. all digits except the last one are subtracted from 9, and the alst from 10 and the result is there

the same technique can be used for decimal subtraction also .

e.g.                  2.000 – 0.672

the operation here is subtraction of 676 from 20000 where 1 is carry from left.

Vedic   technique to  square a number having base 1000,10000 etc.

Let find the square of 995, this number nearest to 1000, we take 1000 as base

Steps to follow

1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.

2.     Difference  less than base.

3.     Square the difference  less than base, write on the right side of the partition.

4.     Subtract difference from rest number.

 e.g.

1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.

2.     Number less than base i.e. 1000 – 995   =   5.

3.     Square of 5 i.e. 25,    write 025  on the right side of the partition.

4.     Now , subtract 5 from 995 i.e. 990 and write 990 before 025 

Vedic technique to square a number (Nikhilam Method)

Vedic   technique to  square a number which ends in 5

Steps to follow

1.      Multiply the first number by its consecutive number.

2.      Multiply second digit i.e. 5 by itself and attach it at the end of the result obtained in the previous step.

e.g.      1.         75²  

            Step 1 :  7 x 8  =  56

            Step 2 :  5 x 5  =  25

Answer is  ;                  5625

2.         145²

                        Step 1 :  14 x 15  =  210

            Step 2 :      5 x 5  =  25

Answer is  ;                  21025

Vedic   technique to  square a number

(Nikhilam Method)

Squaring of numbers which are close to a base of 100, 1000, 10000 etc.

Squaring of numbers which are less than the base of 100.

Steps :

1.     Make a partition and on the right side of the partition there are two places as base 100 has two zeros.

2.     Difference  less than base.

3.     Square the difference  less than base, these are the last two digit of square are write on the right side of the partition.

4.     Subtract difference from rest number.

e.g. 1.            96²

step 1            :           96                   - 4

                                  92       /          16                   =          Sol.   9216

e.g.  2.           85²

step 1            :           85                  -15

                                 70       /         225(carry 2 to the left and add to 70 to get 72 )

=             Sol.   7225

TRIANGLES AND ITS TYPES

mathematical TLM useful in Labs

http://mathsworldtlm.blogspot.in/

maths TLM for cube ,cylinder, cone, hemisphere

http://mathsworldtlm.blogspot.in/

Mathematical parks

Math TLM

http://mathsworldtlm.blogspot.in/