Squaring special numbers (9’s and final 2)

Follow the following Steps:

  1. Choose a number with repeating 9’s and a final 2.
  2. The square is made up of:
    • one fewer 9 than there are repeating 9’s
    • 84
    • the same number of 0’s as there are 9’s in the square
    • A final 64

   Example-1:

  1. If the number to be squared is 9992:
  2. The square has:one fewer 9 than the
       repeating 9's:         9 9
    84                            8 4
    same number of 0's as 9's
       in the square                  0 0
    a final 64                            6 4
  3. So 9992 × 9992 = 99840064.
  

   Example-2:

  1. If the number to be squared is 999992:
  2. The square has:one fewer 9 than the
       repeating 9's:      9 9 9 9
    84                             8 4
    same number of 0's as 9's
       in the square                   0 0 0 0
    a final 64                                 6 4
  3. So 999992 × 999992 = 999984000064.