This event brings together student scholars and their families, faculty and staff mentors, other members of the KSC community, area legislators, university trustees, and members of the Keene community in celebration of academic research and other forms of scholarship.
The decimal representation for the fraction 1/3 is 0.3333 . . . where the three dots indicate that the threes continue without end. This repetition of digits can be set up in the other direction to create . . . 3333. This does not look like any natural number since there are infinitely many threes. In this presentation, we introduce the techniques used in showing the relationship between 1/3 and 0.3333 . . . along with the basic ideas associated with modular ten arithmetic. These are then used to give meaning to . . . 3333 and other repeating integers having this form.
