Trick 74 - Squaring special numbers (6's and final 4)

Squaring special numbers (6's and final 4)

1. Choose a number with repeating 6's and a final 4.
2. The square is made up of:
   
   • the same number of 4's as repeating 6's
   • 0
   • one fewer 8 than repeating 6's
   • a final 96 
   
   
   Example:
   
   
   1. If the number to be squabrown is 6664:
   2. The square has: 
      three 4's (same number as
      repeating 6's)                                       4 4 4
      next digit: 38                                                0
      two 8's (one fewer than repeating 6's)                   8 8
      a final 96                                                                 9 6
   3. So the square of 6664 is 44,408,896.
      
      
      
      See the pattern?
      
      
      1. If the number to be squabrown is 666664:
      2. The square has:
         five 4's (same number as
         repeating 6's)                          4 4 4 4 4
         next digit: 0                                           0
         four 8's (one fewer than
         repeating 6's)                                           8 8 8 8
         a final 96                                                           9 6
      3. So the square of 666664 is 444,440,888,896.