Speed Multiplication by 111 : Vedic Maths
Multiplication of a number consisting of only ones with another number becomes very easy using Vedic Maths techniques. You must see the earlier post on shortcut for multiplying a number by 11
MULTIPLYING A NUMBER BY 111
To multiply a two-digit number by 111, add the two digits and if the sum is a single digit, write this digit TWO TIMES in between the original digits of the number. Some examples:
36x111= 3996
54x111= 5994
The same idea works if the sum of the two digits is not a single digit, but you should write down the last digit of the sum twice, but remember to carry if needed. So
57x111= 6327
because 5+7=12, but then you have to carry the one twice.
For 3 digit numbers
Carry if any of these sums is more than one digit.
Thus 123x111 = 1 | 3 (=1+2) | 6 (=1+2+3) | 5 (=2+3) | 3
Similarly,
241x111 = 26751
For an example where carrying is needed
Say, 352x111=3 | 8 (=3+5) | 10 (=3+5+2)| 7 (=5+2)| 2
= 3 | 8 | 10 | 7 | 2 = 3 | 9 | 0 | 7 | 2
= 39072
(Because of the carries, it may be easier to do the sums and write the answer down from right to left.)
Let me know, if you liked this Vedic Maths trick.
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I am Vineet Patawari - PGDM (IIM Indore), ACA, B.Com(H). My passion for Mathematics, specially Vedic Maths encouraged me to start QuickerMaths
I believe that if trained properly using powerful tools like Vedic Maths, the immense intellect of human mind can be ignited instantly - find out more
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January 8th, 2013 - 13:45
it is very interesting
i like this type of short trick.
November 8th, 2012 - 16:41
its nice
January 14th, 2012 - 02:17
really it is good
January 14th, 2012 - 02:15
really it is to good.
August 28th, 2011 - 09:24
i likd these tricks,its veryuseful for cmptitiv xams and also fr smrt wrk
July 16th, 2011 - 12:32
tricks given are awesome……………..thanks for that
if u have more tricks share with me na……….sravani.rayala366@gmail.com
October 5th, 2011 - 13:52
i m grateful to u sravani.rayala366@gmail.com
June 24th, 2011 - 22:01
great job………………………. enjoyed knowing tricks thanks a lot
December 17th, 2010 - 20:33
its good keka
December 15th, 2010 - 11:20
hi Gud Mrg Frnds……….. i like this type of tricks…….
December 9th, 2010 - 14:17
I think first multiplyling by 999 and then dividing with 9 will take less time.
Ex. 123*111= 123*999/9= 122877/9=13653. And in this process we can multiply with 1111 or 11111 or 222 or 4444 or the like.
And the process to multiply with 999 or the like,
Process 1:
If number of 9 is equal to or greater than the number of digits to be multiplied:
3154*9999=
first we have to substract 1 from the very number & write down it from the left. Here, 3154-1=3153.
Now we substract it from 9999. Here, 9999-3153=6846. & write it to the write of 3153. It is the answer required. 3154*9999= 31536846.
3154*99999=315396846.
Process 2:
If the number of nine is less than the digit of the number:
456*99=
first we leave the number equal to number of 9 from right side. Here no of 9 is 2, so we leave 56. Now we add 1 with the remaining number and substract it from original one. Here, 4+1=5, 456-5=451. Now we write it to the left side. Next, we substract the digit we kept aside (here 56) from the number more than 1 of the multiplicator ( i.e, (99+1)-56=44) and write it to the right. Therefore, 456*99=45144.
Ex 2. 526*9
6 kept aside. (52+1)=53, (526-53)=473, now ((9+1)-6)=4,
therefore, 526*9=4734
August 28th, 2011 - 09:26
yah its nice yaaa
April 1st, 2012 - 12:10
Its a very nice method but what to do when to multiply by 2222 or 444 as mentioned
December 9th, 2010 - 13:36
I think first multiplyling by 999 and then dividing with 9 will take less time.
Ex. 123*111= 123*999/9= 122877/9=13653. And in this process we can multiply with 1111 or 11111 or more.
December 4th, 2010 - 17:46
i really liked the trick.it was worth learning nd above all “vedic mathematics” is what the world dies for.