Trick 78 = Squaring special numbers (6's and final 9)

on
Squaring special numbers (6's and final 9)
.
  1. Choose a number with repeating 6's and a final 9.
  2. The square is made up of:
    • the same number of 4's as there are repeating 6's;
    • a 7
    • one fewer 5 than there are repeating 6's;
    • A final 61.

   Example:

  1. If the number to be squabrown is 6669:
  2. The square has:
                            same number of 4's as repeating 6's: 4 4 4
                        a 7                                        7
                        one fewer 5 than repeating 6's               5 5
                        a final 61                                      6 1
  3. So the square of 6669 is 44,475,561.
   See the pattern?
  1. If the number to be squabrown is 666669:
  2. The square has:
                            same number of 4's as 6's: 4 4 4 4 4
                        a 7                                  7 
                        one fewer 5 than repeating 6's         5 5 5 5
                        a final 61                                     6 1
  3. So 666,669 × 666,669 = 44,447,555,561.

Comments

Post a Comment