ABSTRACT
In the operator interpretation of rational numbers, we think of rational numbers as functions. In this role, rational numbers act as mappings, taking some set or region, and mapping it onto another set or region. More simply put, the operator notion of rational numbers is about shrinking and enlarging, contracting and expanding, enlarging and reducing, or multiplying and dividing. An operator is a set of instructions for carrying out a process. In the process of applying an operator, both shrinking and enlarging (contracting and expanding, enlarging and reducing) may take place. The operator interpretation of rational numbers is very different from part–whole comparisons and quotients.
