rational points

Rational points refer to specific locations or values on a mathematical object, like a curve or surface, where the coordinates can be expressed as fractions of whole numbers. In geometry or number theory, these points are significant because they can provide insights into the properties of the shape or equation being studied. For instance, on a graph, a rational point may lie at (1/2, 3/4), indicating precise positions that are easier to work with compared to irrational numbers, which cannot be expressed as simple fractions. Thus, rational points are foundational in various mathematical areas.