Squaring special numbers (9's and final 2)

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. 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 x 9992 = 99840064.

   See the pattern?

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 x 999992 = 999984000064.

With a little practice you will be finding these huge products with ease.