Vedic Mathematics - Quick Multiplication techniques - Part 1
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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.
- 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.
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CommentsLoading...
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 thats 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....
not new
it's very good
IT IS VERY NICE. I WANT TO LEARN SOME MORE TECHNIQUES
its nice
Very nice technique
It is an awesome methode also very interesting and useful
cool...
Amazing multiplication . . .
Its very nice technique to solve multiplication of numbers.
Thanks for sharing.
its really too good
its a realy good
a tan fudu hai
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 is good
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
Real good
witty!
WOW THIS IS VERY EASY
very good, easy
nice
It is very nice & excellent. THANKS???????
k@ri 3 years ago
Pretty fascinating! Can't wait to see part 2. I have never heard of this method before.