# Become A Logical Mathematical Thinker

Rational Numbers

Upon successful completion of this unit, you will be able to:

- Find a pair of integers whose quotient is a given repeating decimal.
- Prove basic propositions about rational and irrational numbers.
- Recognize that the set of rational numbers is an ordered field, and use the properties of ordered fields to prove statements concerning rational numbers.
- Prove that the set of rational numbers is not complete, but the set of real numbers is complete.