Squaring special numbers (9’s and final 8)

Follow the following Steps:

  1. Choose a number with repeating 9’s and a final 8.
  2. The square is made up of:
    • the same number of 9’s as there are repeating 9’s
    • 6
    • the same number of 0’s as there are 9’s in the square
    • A final 4

   Example-1:

  1. If the number to be squared is 9998:
  2. The square has:same number of 9's as there are
       repeating 9's:              9 9 9
        6                                6
    same number of 0's as 9's
       in the square                       0 0 0
    a final 4                                    4
  3. So 9998 × 9998 = 99,960,004.
   

Example-2:

  1. If the number to be squared is 999998:
  2. The square has:same number of 9's as there are
       repeating 9's:        9 9 9 9 9
        6                              6
    same number of 0's as 9's
       in the square                     0 0 0 0 0
    a final 4                                      4

  3. So 999997 × 999997 = 999,996,000,004.