## 2008 Mathematics Game

Are you ready for a challenge? Join us for the 2008 Mathematics Game. Here are the rules:

Use the digits in the year 2008 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, 8 may be used.
• Multi-digit numbers such as 20, 208, or .02 MAY be used this year.
• The square function may NOT be used.
• The integer function may NOT be used.

By definition:
$0! = 1$
[See Dr. Math’s Why does 0 factorial equal 1?]

For this game we will accept the value:
${0}^{0} = 1$
[See the Dr. Math FAQ 0 to the 0 power.]