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

Replies

  • integratdbrains
    integratdbrains
    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 ๐Ÿ˜€
  • aashima
    aashima
    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
    integratdbrains
    hello ashima

    check out the vedic mathematics workshop3.
  • aashima
    aashima
    hmm....

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

    here is the link to #-Link-Snipped-#

    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 ๐Ÿ˜
  • Anil Jain
    Anil Jain
    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
    integratdbrains
    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!
  • Anil Jain
    Anil Jain
    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!



    --Crazy
  • Kaustubh Katdare
    Kaustubh Katdare
    easy !

    Easy there everyone!

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



    -The Big K-
  • aashima
    aashima
    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
    aashima
    oops....

    integratdbrains
    check out the vedic mathematics workshop3.
    i just did not notice this before... its absolutely same ๐Ÿ˜€ well wont let it go this way again ๐Ÿ˜‰

    thanks for the updation newaz
  • aditi
    aditi
    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
  • Kaustubh Katdare
    Kaustubh Katdare
    Good job, Aditi ๐Ÿ˜

    Can we have more workshops on VM !

    -The Big K-
  • aashima
    aashima
    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 ๐Ÿ˜‰
  • Anil Jain
    Anil Jain
    Bumping this thread.

    For sure - CEan's who likes maths would love this thread.

    -CB

You are reading an archived discussion.

Related Posts

what u guys think of ajay devgan
Just introducing myself... Name: Caroline Age: 18 Country: USA Occupation: Student..i'm going into my 2nd year of a 5 year program for Materials Science Engineering Interests: Travelling, the beach, sports...
Just finished reading autobiography of world's favorite entrepreneur - Richard Branson - the creator of 'Virgin' Brand. The book is titled 'Losing My Verginity'. Richard Branson tells us the story...
We all have our E-mail ids...while creating them i.e while filling out the registration form we need to fill a box with exactly the same words and numbers mentioned nearby..as...
I'm not sure if this is the right place for this thread. Biggie said go ahead so here we go - Countless times, we have been asked to write down...