Use the digits in the year 2000 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, 0 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, you might wish to substitute it with 1, indeterminate or undefined/nonexistent. For this game we will assume 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, 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.
Return to 2000 Mathematics Game and submission form.
© 1994-2000 The Math Forum
Judy Ann Brown
1 January 2000