For a new puzzle suppose that you have five 5's and the
operations of
addition, subtraction, multiplication, division, and grouping
(parentheses).
How many of the integers from 1 to 15 can you make using only
these
operations and all of the fives? For example, the integer 2
can be
expressed as ((5+5)/5)+(5-5) (note that all five 5's must be
used in your
expression). You should be able to make all integers from 1 to
15 except
one. As a final puzzle, once you've found which is the missing
number,
express it using five 5's with the additional operation of
squaring allowed.