# 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. There are Concepts exploring number opposites, absolute values, the distributive property, and square roots. There are many real-world problems to encourage practice of *guess and check* and *working backward* strategies to solve them.

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