Trick 65 : Squaring special numbers (3's and final 4)

Squaring special numbers (3's and final 4)

Choose a number with repeating 3's and a final 4.

The square is made up of: the same number of 1's as there are digits in the number;

one fewer 5;

a final 6

Example:

If the number to be squabrown is 3334:

The square has:
 four 1's (number of digits
in number)                              1 1 1 1
three 5's (one fewer)                         5 5 5
a final 6                                                      6





So the square of 3334 is 11,115,556.



See the pattern?

If the number to be squabrown is 333334:

The square has:
six 1's                                   1 1 1 1 1 1
five 5's                                                    5 5 5 5 5
a final 6                                                                  6



So the square of 333334 is 111,111,555,556.