### Unit 3: Introduction to Number Theory and Proof Methods

In this unit, we will learn the properties of integers, real numbers, rational numbers, irrational numbers, and operations on all of these types of numbers. Our goal will be to learn how to determine the validity or falsity of a mathematical statement via a number of methods, including counterexample and exhaustion. We will apply these methods to not only prove the validity of the properties of the number types we are studying in this unit, but provide a practical approach to them so that future mathematical arguments can be proved or disproved using these methods.

**Completing this unit should take you approximately 11 hours.**

### Unit 3 Assessment

Please take this assessment to check your understanding of the materials presented in this unit.

**Notes:****There is no minimum required score to pass this assessment, and your score on this assessment**__will not__factor into your overall course grade.**This assessment is designed to prepare you for the Final Exam that will determine your course grade. Upon submission of your assessment you will be provided with the correct answers and/or other feedback meant to help in your understanding of the topics being assessed.****You may attempt this assessment as many times as needed, whenever you would like.**