• The rational numbers (denoted Q) are all numbers that can be written in the form $$\frac{m}{n}$$ where m and n are integers and n
• The irrational numbers are real numbers that are not rational, i.e., that cannot be written as a ratio of integers. Such numbers include $$\sqrt{3}$$(which we will prove is not rational) and $$\pi$$ (if anyone ever told you that $$\pi=\frac{22}{7}$$ , remember that $$\frac{22}{7}$$ is only an approximation of the value of $$\pi$$). Later you will learn that we can describe this set of irrational numbers as R − Q, that is: it is all the numbers that are in R but are not in Q.