Suppose the mouse from MouseHunt (the movie) sneaks into the kitchen and eats half of a cookie. The next day he eats half of what remains. If this pattern continues for 7 days, how much has he eaten? How much is left? When will he have eaten it all? Explain how you went about trying to solve the problem. What representations (tables, graphs, general expression) did you use and how did they help you in understanding the problem?
Investigate what happens to 1/n as n gets larger; as n gets smaller. Using graphic table representations, why do you think division by zero is undefined?
Which unit fraction 1/n, for n less than or equal to 50, has decimal expansion of longest period? Organize your data and look for patterns.