An rational number, is a real number, that can be written in the form of p/q, where q is not equal to 0 or 1. A common misconception is that irrational numbers do not terminate; this is false. For example, 1/3 equals 0.3 repeating, but 1/3 can be written as p/q. As you can infer, an irrational number is a number, that cannot be written as p/q. One example is pi, or e.