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

Updated on August 5, 2012

## 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

----------

5609 ---- (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.

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.

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.

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## Popular

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• Kevin shah

2 years ago

Very useful

• Happy singh☺

3 years ago

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

• Guest

3 years ago

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.

• santu

4 years ago

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..!!

• Sahaj

4 years ago

Very nice

• kanhaiya

4 years ago

i like it ;

outstanding,.

• arbaz

4 years ago

I like it this tecniq

• supriya

4 years ago

I like this tecniques very thanksfor giving this methodological.

• cbl12

4 years ago

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 !

• yashvi.....

5 years ago

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

• priya

5 years ago

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

• monu

5 years ago

thik hai

• gautam

5 years ago

superb and cool. i like this

• sreevidya

5 years ago

this is good view learn some more tips

• sreevidya

5 years ago

this is good view learn some more tips

• iswariya

5 years ago

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

• mishan 007

5 years ago

nice and the best technique

• aman ahmed

5 years ago

awesome better than other examples

• manu

5 years ago

excellent

• swati kandoi

5 years ago

thanku....its good

• Swati

5 years ago

great..thankyou

• bhanu kumar

6 years ago

exellent and super-duper

• ZZZZZZZZZZZZZZ

6 years ago

AGREE WITH MAK KIDSTUFF

• santosh

6 years ago

nice........

• raghav

6 years ago

amazing for multiplication

• vishwanath

6 years ago

ds z so esy 10nk....

• janavi

6 years ago

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

• Praveen

6 years ago

Really cool .

• sanjeevi

6 years ago

it is very usefull for me

• Girikanth

6 years ago

Amasing techiniques. I realy had a fun.

• jag mohan parnami

6 years ago

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

thanks

• gajendra bohara

6 years ago

it think that the easy the calculate fast

• simran

6 years ago

its so easy and gud. thanku so so much

• sakshi

6 years ago

awesome

• ASHUTOSH

6 years ago

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

• shahid

6 years ago

very good, easy

6 years ago

WOW THIS IS VERY EASY

• aishwarya

6 years ago

really good .very useful in exam and can save time

• poohf@rocketmail.com

6 years ago

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

• SUDHEER

6 years ago

REALLY ITS BETTER TRICK

• grangden......

6 years ago

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

• namrata

6 years ago

its really good technique

• lucy maureen

6 years ago

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

• sandeep

6 years ago

its a realy good

• savi

6 years ago

its really too good

• Liyaqat Mirza

6 years ago

Its very nice technique to solve multiplication of numbers.

Thanks for sharing.

• Sushil

6 years ago

Amazing multiplication . . .

• Bittu chandra.

6 years ago

It is an awesome methode also very interesting and useful

• Amish

6 years ago

Very nice technique

• N .SREE HARSHA

6 years ago

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

• sridh

6 years ago

it's very good

• yashvir

6 years ago

u r great....

• ANURAG CHAKRABORTY

6 years ago

very very very very niceeeee

i loved it

• abhi

7 years ago

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

• Santos

7 years ago

it is easy

• deepthi

7 years ago

in less time we get answer

• shiv

7 years ago

its really wonderful

• jenny

7 years ago

very good ... it's very nice

• Ates

7 years ago

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

• simran

7 years ago

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

• Megha shyam

7 years ago

It's really good

• NAGARAJU

7 years ago

GOOD ONE & USEFUL

• sourabh

7 years ago

nice one plz publish the 2nd part.

• sanjay

7 years ago

best

• ashish chawda

7 years ago

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

• Mak

7 years ago

Kid Stuff

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

=15||6

=156

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

47 x 42 =

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.

• ankur ajmani

7 years ago

great tricks... thanks...

• Shashank

7 years ago

REALLY COOL, NICE & AWESOME

Very easy to do Maths NOW

• Rajeev

7 years ago

Thanks you sir this will help me in bank exams.

• Ayush

7 years ago

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

• manz

7 years ago

• BkCreative

7 years ago from Brooklyn, New York City

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!

• manoj

7 years ago

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

• purnaa

7 years ago

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

• Barbie

7 years ago

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

• ara

7 years ago

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

• anjiIIITR

7 years ago

it's nice

• Jiten

7 years ago

Excellent

• abhi

7 years ago

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

• shah alam

8 years ago

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

• Shrey

8 years ago

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

• rahul

8 years ago

nice

• Dave

8 years ago

@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.

• MARC

8 years ago

I LIKE THIS TRICKS VERY GOOD

• divya dwivedi

8 years ago

very good

• Rahul

8 years ago

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

• allan

8 years ago

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

• vishu

8 years ago

its good

• ATUL

8 years ago

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

8 years ago

Multiply made easy, its really amazing

• shormi

8 years ago

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

• saif

8 years ago

awesome methods! very helpful for students facing board exams

• teenu ktjm , idamattom

8 years ago

nice and very good

• GOPIKA

8 years ago

WOW!IT IS A NICE METHOD.VERY EASY!

• Nafees

8 years ago

Wow really nice

• tre

8 years ago

this is cool

• Jake Anderson

8 years ago

Thanks For helping me in my homework =)

• shiva kumar

8 years ago

This video is very useful

• suniiya

8 years ago

really gud

• sanu

8 years ago

these vedic tricks are good but not online

working