Pieces of Eight Challenge

Lee has thought up another devious puzzle along the lines of Solve my t-shirt and Denise’s New Years math challenge.

The object of this challenge is to develop ten mathematical expressions that equal 8. You must use the digits 2, 7 and one other. This other digit must be a 0 in the first expression, a 1 in the next expression, a 2 in the next expression and so on, up to 9. You must use the 2, the 7 and the other digit once and only once in each expression. (Note: For the analitically challenged, solution(s) when the “other digit” is 2 will have two 2’s, solution(s) when the “other digit” is 7 will have two 7’s.)

You may use +, -, *, /, exponentiation, decimal points and parentheses.

Here’re the two known solutions when using 2, 7 and 1.

8=2+7-1=1^2+7 (2nd solution by John Stokes)
pieces of eight

2 comments

  1. Due to the underwhelming interest we point you at

    http://primepuzzle.com/leesnewest/make-8.html

    If anyone out there has other solutions, speak up!

    For example, how ’bout

    8=72/9
    7.8+.2=8

  2. Good puzzle. These are good stretchers for students working on their arithmetic skills. And still fun for more advanced mathematicians.

Leave a comment