07 Jul 2006

# VM5 - Square of any no.

Now till now you know the square of the no. having 5 and 0 at their end...
Now some other...
Square of the no just 2 next to them..(having 0 and 5 as last digit) means 27,32,37,42,47....like that

Easy....
The fanda here is ...
Add the square of the previous no + nth odd no.
For eg . 32^2
= (30)^2 + 31st Odd no. (which is 2n-1, where n starts from 1...means 61) + 32nd Odd no. (which is 2n+1, where n starts from 1...means 61)so square of 31 is 900 + 61+63 = 1024...
or simply add sqaure of 30 + 4n ---- ??? think why 4n (its 2n-1 +2n+1)

from my side.Next lesson will be on monday..... JJ
till than bbye

integratdbrains

Branch Unspecified
07 Jul 2006
i would prefer a diff technique!

for numbers ending in 1 i would rather prefer (a+b)^2 formula!
as u will be knowing this most loved and basic formula in algebra
(a+b)^2=a^2+2ab+b^2
so any number ending in 1
for eg:31^2 the formula will go this way (30+1)^2=30^2+2*30*1+1=900+60+1=961
in short square the round figure number and add twice the round figure and at last add 1 ! same is applicable for numbers ending in 9 but instead of the '+' formula use '-'.!
for eg:29^2=(30-1)^2=30^2-2*30+1=841 😀

aashima

Branch Unspecified
07 Jul 2006
kool ones....

nice techniques ... wud be helful a long way ... am sure...

well with that note i have an easy way of MULTIPLYING ANY NUMBER WITH 11...

we know the table till 10... for higher numbers... foe e.g. any 2 digit number... ad the two digits of the number and put the sum berween the digits....

it goes like... for 35... 3+5=8
then 11*35 will be 385..
simple...

integratdbrains

Branch Unspecified
08 Jul 2006
hello ashima

check out the vedic mathematics workshop3.

aashima

Branch Unspecified
08 Jul 2006
hmm....

integratdbrains
check out the vedic mathematics workshop3.
well wherz dat???

crook

Branch Unspecified
09 Jul 2006

here is the link to Vedic Mathematics Work Shop - 3

Great job crazyboy, integratdbrains, aashima !

I am sure this is going to be useful to lot of ceans.

I will try to add something too 😁
10 Jul 2006
aashima
nice techniques ... wud be helful a long way ... am sure...

well with that note i have an easy way of MULTIPLYING ANY NUMBER WITH 11...

we know the table till 10... for higher numbers... foe e.g. any 2 digit number... ad the two digits of the number and put the sum berween the digits....

it goes like... for 35... 3+5=8
then 11*35 will be 385..
simple...
Means 73*11= 7 (7+3=10)3=7103..is it so???
which is wrong

Or it is 1 carry over so it will make it ??
7+1=803???

Do let me correct if i am wrong...

integratdbrains

Branch Unspecified
10 Jul 2006
Come on!

Come on buddy i don't think there's need of this post.. cuz u already know the answer and she may have been fallen short of explaining in detail!
10 Jul 2006
integratdbrains
Come on buddy i don't think there's need of this post.. cuz u already know the answer and she may have been fallen short of explaining in detail!
<EDITED>

--Crazy
10 Jul 2006
easy !

Easy there everyone!

Keep up the good work, crazyboy, Integratdbrains, aashima !

-The Big K-

aashima

Branch Unspecified
10 Jul 2006
crazyboy
Means 73*11= 7 (7+3=10)3=7103..is it so???
which is wrong

Or it is 1 carry over so it will make it ??
7+1=803???

Do let me correct if i am wrong...

well i guess thats pertty obvious that in case of a sum resulting in two digit ... it shud be trasferred as a carry to get the right solution and u very well solved it too....

so is there any point of correcting u???

aashima

Branch Unspecified
10 Jul 2006
oops....

integratdbrains
check out the vedic mathematics workshop3.
i just did not notice this before... its absolutely same 😀 well wont let it go this way again 😉

thanks for the updation newaz

Branch Unspecified
09 Aug 2006
here is another method to find square of a no..

2 digit number :

For example: To find the square of 34, start from left hand and following r the steps.
34
1)3^2 = 9
2)2*(3*4) = 24
3)4^2 = 16

4) now we write 9/24/16 ( start writing number from right hand taking only unit's digit and others as carry)

5)the result is 1156

3 digit number :

Example 234, steps are

1) 2^2 = 4
2)2*(2*3) = 12
3)2*(2*4) + 3^2 = 25
4)2*(3*4) = 24
5)4^2 = 16

so we write result as 4/12/25/24/16 and adding by same method

result is 54756

Similarly square of 345 :
9/24/46/40/25 = 119025

square of 4 digit number :

1234

1) 1^2 = 1
2) 2*(1*2) = 4
3) 2*(1*3) + 2^2 = 10
4) 2*{ 1*4 + 2*3 }= 20
5) 2*(2*4) + 3^2 = 25
6) 2*(3*4) = 24
7) 4^2 = 16

so write as 1/4/10/20/25/24/16 = 1522756

similarly square of 4512 : 16/40/33/26/21/4/4 = 20358144

So U can proceed same rule to find squares of other numbers also
01 Sep 2006

Can we have more workshops on VM !

-The Big K-

aashima

Branch Unspecified
03 Sep 2006
good one

Nice information by aditi. Keep it up. Looking forward to some more knowledgeable stuff in this thread. I wish i could have a maths subject in my curriculum once again 😉
15 Jun 2009