# Vedic Mathematics - Fast and Quick Multiplication techniques - Part 1

## Quick Multiplication Techniques

Vedic Mathematics is a magical method of fast calculation. This wonderful tool has been developed on the basis of Ancient Indian principles. Students still find difficulty in calculation and have fear of it. So in order to do Calculation easy and fast, Vedic Mathematics is helpful tool today. This Method helps students to do calculation with increased Speed rate without use of calculators. It is also helpful in competitive examination such as MBA/CAT and finally will take you to success.

Faster Multiplication:-

- Multiplying 2-digit numbers by 2 digit numbers.
- Multiplying 3-digit numbers by 3 digit numbers.

Let us consider example.

1.Example

75

x

75

--------------

375

+ 3750 ------(Normal way of Calculation)

--------------

5625

-------------

As above, is a normal way to calculate 2digit number by 2digit numbers. Let us do it using Vedic Mathematics.

2. Example

65

x

65

------------

4225

------------

Explanation of **Multiplication using Vedic Mathematics **is as follows:-

- We multiply 5 multiply by 5 and put 25 as right-hand side of the answer.

- We added 1 to the top left digit 6 to make it 7.

- We then multiplied it ( 7 ) by the bottom left digit 6 and got 42, which is the left-hand side of the answer.

- We got the correct answer 4225.

Similarly we can multiply 15 by 15, 25 by 25, 35 by 35 etc.This formula is not limited to same number or ending with 5. We can apply this formula to multiply a good number of two-digit and three digit numbers.

**Pre-condition**

- Left-Hand digit should be the same and the total of right-hand digits should be 10.

Lets us take another example:

76

x

74

------------

5624

-----------

In this example the left-hand digits are the same –i.e. 7, and the total of the right-hand digits is 10. So we can apply this formula here. Similarly just have a look at following.-

79

x

71

----------

56**09** ---- (note to put 09 not
only 9 as we are multiplying 2 digit numbers)

----------

**Multiplying
three-digit numbers by three-digit numbers**.

Having done this for two digit numbers, we can extend the same formula to the three-digit numbers.

- In the case of three-digit numbers the first two digits on the left should be the same and the total of the digits on the right should be 10.

Let us take an example:

125

x

125

----------

15625

-----------

**The steps will be:**

- Multiply 5 by 5 and keep 25 on the right-hand side.
- Add 1 to 13 by 12 and put 156 on the left-hand side.
- The answer is 15625.

**Applications**:

The utility of this formula is wide. You can use this formula to multiply two-digit numbers then the first digits are same, but the total of the last digit does not come to ten then? Consider example as 77 x 75??

77 x 75 can be written **as (75+2) x 75** and from the formula we know to calculate 75 x 75=5625

- Further we required to add 2 x 75=150 to 5625.

- The answer is 5625+150=5775.

Similarly we can work out with 77 x 74, 64 x 68 etc. Up to this we have worked with those numbers whose first digits were same and the total of the last digits exceeded 10. Now consider the example of 47 x 42

In this case 47 x 42, our first digits are same (4) but the total of last two digits is less than 10.

47 x 42 = 47 x (43-1) = 2021- 47 =1974.

Isn't this an easier method of multiplication? Watch out for my Part 2 on this series for more on multiplying numbers.

## More by this Author

- 14
The cubes of numbers can be calculated easy and fast using vedic mathematics. Details of calculation are given here.

- 74
The square of numbers can be calculated in less than 10 seconds using vedic mathematics. Description of this system is given on the hub.

- 26
Vedic mathematics makes division easy. Learn how to divide large numbers quickly.

## Comments 106 comments

Pretty fascinating! Can't wait to see part 2. I have never heard of this method before.

Wow! This is easy!

Many thanks, it is really a easiest way. Thanks again...

Nice Link.......Thanx for it.

Good one!

really nce... w8in 4 part 2 plzz quickly gv it..

OMgg that's awesome im in middle schooland that helpd alott

these vedic tricks are good but not online

really gud

This video is very useful

Thanks For helping me in my homework =)

this is cool

Wow really nice

WOW!IT IS A NICE METHOD.VERY EASY!

nice and very good

awesome methods! very helpful for students facing board exams

this is really amazing but i wud like to see all d rules.....

Multiply made easy, its really amazing

THANX VERY MUCH FOR THE RULE.ITS REALLY AMAZING ND I LKE IT VRY MUCH

its good

not all can used this techniques try to Multiply this 13 x 12 if you will used the above you will arrived wrong answer. 13x12 using above techniques is 206 but the real answer is 156

I don't usually comment on posts but this one is really great. Thanx...and post more links on multiplication techniques please...

very good

I LIKE THIS TRICKS VERY GOOD

@Allan. This technique works for 13x12. The issue you are having is 13x12 doesn't satisfy the condition that the ones places must add to ten. Convert 13x12 to (18-5)x12 as suggested in the last lines of the technique and you will get the correct answer of 156.

nice

really good. can multiply really fast now. useful for my exams

good but how can i multiple any number above 100 and less than

wow its most useful...........

Excellent

it's nice

i hope you will find a formula that will apply to all and does not limit as to same digits in the left or ending in 5...as in all

It is really magical and very helpful.. This is awesome.. Thanks for help!! U rock!!

Need more clarity as well as uniformaty.........

this is amazing keep trying like this more which will be useful for us

Brilliant - thanks so much for laying this out here - so I can look at it and do it. I am a big fan of Vedic math. Yay!

Rated up and great to meet you. I will follow!

its amazing and really helpful!!!

This is really an interesting and intelligent way to do the mathematical calculations and is really important for 10+ students.

Thanks you sir this will help me in bank exams.

REALLY COOL, NICE & AWESOME

Very easy to do Maths NOW

great tricks... thanks...

Kid Stuff

13X12=(13+2)||(3*2)

=15||6

=156

|| is a concatenation operator, just joining the left and right parts

47 x 42 =

add 47+2 = 49

now our base is 10, 47 is (4 times 10) + 7

so 4x49=196

and 7 x 2 (unit place digits of both numbers) =14

concatenate these two ,4x49||7x2

=196||14

since its going to be a 4-digit number.

hence concatenating we get 19(6+1)4 = 1974

Piece of cake! You can do this mentally.

its really awesome.............

best

nice one plz publish the 2nd part.

GOOD ONE & USEFUL

It's really good

very easy it is also in our school it make to do it very easily calculation

Waow....its awesome so easy 2 calculate....thanks

very good ... it's very nice

its really wonderful

in less time we get answer

it is easy

it's so easy i have already learnt this and i can tell this answer in less than 4 seconds....

very very very very niceeeee

i loved it

u r great....

it's very good

IT IS VERY NICE. I WANT TO LEARN SOME MORE TECHNIQUES

Very nice technique

It is an awesome methode also very interesting and useful

Amazing multiplication . . .

Its very nice technique to solve multiplication of numbers.

Thanks for sharing.

its really too good

its a realy good

a nice one we would like to create our own account help us pliz

its really good technique

bravo......thanks ..........alot

REALLY ITS BETTER TRICK

It's a very easy trick. I am so proud that India has created this vedic maths method.

really good .very useful in exam and can save time

WOW THIS IS VERY EASY

very good, easy

It is very nice & excellent. THANKS???????

it is really helpful ............................

awesome

its so easy and gud. thanku so so much

it think that the easy the calculate fast

this is really wonderful method to multiply. you may live long. and create new method of multiplication .

thanks

Amasing techiniques. I realy had a fun.

it is very usefull for me

Really cool .

This is amazing but don't know how you say -2-3= 06 because -2-3=5 and we put this is your method 05 but why you put 06 ? tell me

ds z so esy 10nk....

amazing for multiplication

nice........

AGREE WITH MAK KIDSTUFF

exellent and super-duper

great..thankyou

thanku....its good

excellent

awesome better than other examples

nice and the best technique

i really love vedic maths tricks. the joy i had while practising it cannot be expressed in words first i felt calculating is hard but vedic maths tricks had made easier

this is good view learn some more tips

this is good view learn some more tips

superb and cool. i like this

thik hai

very very thanx for this special techniques........................

I like this techniques n it made ne easy to do maths thxx .......

Very good - I have seen this tried and true method over the years, but did not know what it was called. Indian Mathematics does not always get the credit it deserves !

I like this tecniques very thanksfor giving this methodological.

I like it this tecniq

i like it ;

outstanding,.

Very nice

it's so nice - This is a very simple and works exactly Vedic Mathematics terribly early .A simple method of identifying who gave me and I love him vedic maths..!!

Six years of comments and nobody seems to have noticed the error in the "normal calculation" of 75 x 75 in the very first example. Learn your tricks for the special cases if you want, but they are no substitute for doing the steps correctly whatever method you choose.

It is the ''mast jhakass jabarjast'' process I have seen ever ☺☺☺☺☺☺!!¡¡!!¡¡.☺.☺.☺.☺.

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