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Easy big square w/0 calculator

  1. Oct 19, 2005 #1
    take any number, for example X and try and square it...

    first let Y = X rounded up the nearest power, not multiple, of 10

    [ X - (Y - X) ] * Y + (Y - X)^2 = X^2

    it should work every time...

    let X = 998

    [ 998 - (1000 - 998) ] * 1000 + (1000 - 998)^2

    [ 998 - 2 ] * 1000 + 2^2

    996 * 1000 + 4

    996000 + 4

    996004

    998^2 = 996004

    you can do it for any number and it should work...

    like 9999999999999999999999999999^2 is equal to 99999999999999999999999999980000000000000000000000000001
     
  2. jcsd
  3. Oct 19, 2005 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, that's pretty trivial and pretty well known.
     
  4. Oct 22, 2005 #3
    Yea I figured that out out of boredem in math last year... Its neat but not practical.
     
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