BEATCALC:  Beat the Calculator!

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Back to Calculation Tips & Tricks
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From the BEATCALC mailing list:
a weekly service from B. Lee Clay, archived here by the Math Forum.
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   Squaring special numbers (9 and
                 repeating 3's)

  1. Choose a number with a 9 and repeating 3's (use at least three 3's).
  2. The square is made up of:
    • first digits: 87 & two fewer 1's than repeating 3's
    • next digits: 04 & one fewer 8 than repeating 3's
    • last digit: 9

   Example:

  1. If the number to be squared is 9333:
  2. The square has:

    first digits: 87 and two fewer
        1's than 3's                8 7 1
    next digits: 04 and one fewer
        8 than 4's                        0 4 8 8
    last digit: 9                                 9

  3. So 9333 x 9333 = 87,104,889.

   See the pattern?

  1. If the number to be squared is 933333:
  2. The square has:

    first digits: 87 and two fewer
       1's than 3's           8 7 1 1 1
    next digits: 04 and one fewer
       8 than 3's                      0 4 8 8 8 8
    last digit: 9                                  9

  3. So 933333 x 933333 = 871,110,488,889.
     


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26 July 1999
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