Squaring special numbers (6’s and final 9)

Follow the Following Steps:

  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:

  1. If the number to be squared 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.
   

   Example-2:

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  1. If the number to be squared 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.