Are your students ready for a challenge?
The Math Forum: 2007 Mathematics Game will be a tricky one:
Use the digits in the year 2007 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, 7 may be used.
- Multi-digit numbers such as 20, 207, 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.
Your students may send in their solutions now. Math Forum says they will begin posting student answers after February 1. (I don’t know how long the Web form will be active, once they start posting answers.)
The Final Total
Percent Solved: 76%.
Numbers we could NOT find:
38, 44, 46, 52, 53, 55, 58, 62, 78-80, 82, 86-89, 92-97, 99, 100.