VM5 - Square of any no.

[crazyboy]

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]

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]

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]

check out the vedic mathematics workshop3.

[aashima]

Originally Posted by integratdbrains

check out the vedic mathematics workshop3.

well wherz dat???

[crook]

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

[crazyboy]

Originally Posted by 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]

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!

[crazyboy]

Originally Posted by 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!

Ma'm i was known of the method...but there are many pals who don't know the tricks of VM...

This thread is nt for me aasima or you..... its for all CEans so i thought that it will be better that i re-post it in a baroque way...

No offence means plzzzzzzzzzzz.
--Crazy

[The_Big_K]

Easy there everyone!

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



-The Big K-