Vedic Maths, as I have said in my last post is a boon for Math Lovers. Multiplication plays an important role from the elementary class to college to our day to day life.We know that without the 14 sutras ,Vedic Math wont exists.In fact,the fourteen sutras are the life line of Vedic system of Mathematics.Now,I am going to explain a simple process of Multiplication using one of the sutra named ” The Nikhilam Sutra – All from 9 and last from 10″.

__Example 1:__The nearest base for the above two numbers are 500.So we fix this 500 as our base.Now,see that the above both numbers are *greater than the base*

How much deficient are are the above numbers are from base ?

605 -500 = +105

504 -500 = +004

Next,align as follows,

605 + 105

504 + 004

—————-

L.H.S 609 | ( + 420) R.H.S —> [the RHS is got by adding diagonally on any one side ,the LHS is the result of multiplying the deficiencies .]

(609 /2) | (+420) since we have fixed base 500 and 500 is half of 1000 .i.e;1000/2 = 500.

304.5 + 420

304.5 | 420

Now see that the L.H.S has a decimal point ,so carry out that half to the R.H.S side from L.H.S .Now R..H.S side becomes 420 +500 =920

304 | 920

**Therefore ,605 x 504 = 304920**

__Example 2__The nearest base for the above two numbers are 500.So we fix this 500 as our base.Now, see that the above both numbers are* less than the base.*

How much deficient are are the above numbers are from base ?

485 -500 = -015

475 -500 = -025

485 – 015

475- 025

————–

**Therefore 485 x 475 = 230375**

__Example 3__The nearest base for the above two numbers are 500.So we fix this 500 as our base.Now, see that the above numbers .*One is greater than the base and one is less than the base.*

How much deficient are are the above numbers are from base ?

614 – 500 = +114

495 – 500 = -005

614 + 114

495 – 005

————

609 | (-570)—>–>the RHS is got by adding diagonally on any one side ,the LHS is the result of multiplying the deficiencies .

(609 /2) | (-570)

304.5 | (-570) —– > the minus sign is removed by 1000 -570 =430 and remove one from the L.H.S side

303.5 | 430

303| (430+500) —-> the 0.5 when carried to R.H.S, becomes 500 and add it to R.H.S

303| 930

**Therefore ,614 x 495= 303930**

Note :The above three methods are general rule.When the multipliers are both above or greater we dont have any problems.But when one is greater and one is lesser,we follow the rules in example 3.For all ,the same rules apply.

- The (0.5) on L.H.S is carried as 500 and added to the R.H.S every time you fall into a decimal (1/2).
- The Minus signs resulting on R.H.S is removed by adding 1000 to it.

Try these at home and put them in the comments below with the simple steps as above.

1. 510 x 610

2. 390 x 485

3. 460 x 680

__About the Author :__

Author Umamaheswari Anandane is a freelance writer , a poetess and a blogger at Inside My Poem Book and Perpetual Mind.You can visit her Blog link “Vedic Maths” for more of her writings on the same.

105*93 by nikhilam sutra

taking 100 as base

105— +5

93—- -7

_________

98 | -35

100-35=65

therefore ans is 9865

but 105*93=9765

please correct my mistake

You have to multiply 98 by 100 to give you 9,800 now take the 35 away from it. Your answer will now be correct at 9765

when u do the step 100-35=65 u should also have reduced 98 by 1 which will be equal to 97. hence the answer 9765

The minus sign is removed by 100 -35 =65 and you still have'nt removed one (98-1 =97) from the L.H.S side ( see above example)

So, when done, the answer becomes 9765

99 x 67 = (67 – 1)/( 99 – 66 )= 66/33 = 6633 .

Similarly we can solve 99 x 67 =

99 – 01 ( Base 100 )

67 – 33

_________

66 / 33

= 6633 .

Perfect!

Multiplication often denoted by the cross symbol "× is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic.

how to perform 693*257??

Use Vertically & Crosswise

How to multiply 77*43 using the same method

Is this method possible for Binary numbers ?

Can u please explain for a 4 bit binary number

1111 * 1011

hi please answer this question

multiplication of two numbers by nikhilam sutra

95*85

the base is 100

95-100=-5

85-100=-15

if the above problem is soved in binary means we get error

5:0101

*

15:1111

=01001011

and after addition 95-15=01010000;

how to concatenate these two binary numbers to get the result 8075

Please solve 99×99×99 by nikhilam sutra multiplication method