# Chapter 2: Real Numbers

**At Grade**Created by: CK-12

## Introduction

Given a number like 5, 0.75, or \begin{align*}\sqrt{2}\end{align*}

- 2.1.
## Properties of Rational Numbers

- 2.2.
## Additive Inverses and Absolute Values

- 2.3.
## Addition of Rational Numbers

- 2.4.
## Rational Numbers in Applications

- 2.5.
## Multiplication of Rational Numbers

- 2.6.
## Division of Rational Numbers

- 2.7.
## Mixed Numbers in Applications

- 2.8.
## Distributive Property

- 2.9.
## Square Roots and Irrational Numbers

- 2.10.
## Properties of Rational Numbers versus Irrational Numbers

- 2.11.
## Guess and Check, Work Backward

### Chapter Summary

## Summary

This chapter explains the difference between integers, rational numbers, and irrational numbers. It then focuses on adding, subtracting, multiplying, and dividing rational numbers. It also covers number opposites, absolute values, and the distributive property. Square roots are discussed as well. Finally, it introduces you to many real-world problems and provides the strategies of guess and check and working backward to solve them.