2005 year game For many years mathematicians, scientists, engineers and others interested in mathematics have played "year games" via e-mail and in newsgroups. We don't always know whether it is possible to write expressions for all the numbers from 1 to 100 using only the digits in the current year, but it is fun to try to see how many you can find. This year may prove to be a challenge. As with many games, the rules for the Year Game can vary slightly. Teachers may wish to use different rules in their own classrooms. This Web page is intended for students in grades three through twelve with a general knowledge of mathematics. Our rules: use the digits in the year 2005 and the operations +, -, x, ÷, ^ (raised to a power), sqrt (square root), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. This year we will also allow the use of decimal points and double-digit numbers. Please read and follow the rules carefully if you wish to have your solutions posted on this site. Rules Use the digits in the year 2005 and the operations +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. All four digits must be used in the expression. Only the digits 2, 0, 0, 5 may be used. Double-digit numbers such as 20 or .02 MAY be used this year. The square function may NOT be used. The integer function may NOT be used. Students should be introduced to the fact that 0! by definition is equal to 1. See Dr. Math's answer to Why does 0 factorial equal 1? for more information. Dr. Math also tells us that, depending on the context where 0^0 occurs, it can be 1, indeterminate, or undefined/nonexistent. For this game we will accept the value 0^0=1. See the Dr. Math FAQ 0 to the 0 power for more information. This site is intended for the posting of answers generated by students. Teachers may submit answers for their students. Each answer should include the expression, the name of the student, the student's grade level, and the name of the school. Use the Web form once for each answer you would like to contribute. If you send more than one solution per form submission, we will be unable to include your answers on our solution page.