*[Photo by Amanda M Hatfield.]*

Have you made a resolution to exercise your mental muscles this year? Then please join us for the 2009 Mathematics Game. Here are the rules:

Use the digits in the year 2009 and the operations +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial) — along with parentheses, brackets, or other grouping symbols — to write expressions for the counting numbers 1 through 100.

- All four digits must be used in each expression.
- Only the digits 2, 0, 0, 9 may be used.
- The decimal point may be used, as in .9, .02, etc.
- Multi-digit numbers such as 29 or 902 may be used, but preference is given to solutions that avoid them.

By definition: .

[See Dr. Math’s Why does 0 factorial equal 1?]

For this game we will accept: .

[See the Dr. Math FAQ 0 to the 0 power.]