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You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Concepts Go to the latest version.

# Chapter 2: Real Numbers

Difficulty Level: At Grade Created by: CK-12

## Introduction

Given a number like 5, 0.75, or 2\begin{align*}\sqrt{2}\end{align*}, how would you classify it beyond a real number? In this chapter you’ll learn three subsets of real numbers – rational numbers, irrational number, and integers – that you’ll find every day in your daily life. The number of students in your class – that’s an integer. The interest rate on your car loan – that’s a rational number. The ratio of a circle’s circumference to its diameter – that’s an irrational number. This chapter differentiates these various types of real numbers and explains important properties and rules that apply to them. It then shows you how to perform operations and solve problems involving rational numbers. Finally, it equips you with problem-solving strategies to solve problems involving rational numbers.

## 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.

## Date Created:

Oct 01, 2012

Sep 27, 2015
Files can only be attached to the latest version of chapter
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CK.MAT.ENG.SE.1.CK-12-Algebra-I-Concepts.2
The provided text is a chapter introduction from a mathematics textbook, specifically about real numbers and their subsets. It does not contain any specific mathematical questions or answers.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Concepts Go to the latest version.

# Chapter 2: Real Numbers

Difficulty Level: At Grade Created by: CK-12

## Introduction

Given a number like 5, 0.75, or 2\begin{align*}\sqrt{2}\end{align*}, how would you classify it beyond a real number? In this chapter you’ll learn three subsets of real numbers – rational numbers, irrational number, and integers – that you’ll find every day in your daily life. The number of students in your class – that’s an integer. The interest rate on your car loan – that’s a rational number. The ratio of a circle’s circumference to its diameter – that’s an irrational number. This chapter differentiates these various types of real numbers and explains important properties and rules that apply to them. It then shows you how to perform operations and solve problems involving rational numbers. Finally, it equips you with problem-solving strategies to solve problems involving rational numbers.

## 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.

## Date Created:

Oct 01, 2012

Sep 27, 2015
Files can only be attached to the latest version of chapter
Image Detail
Sizes: Medium | Original

CK.MAT.ENG.SE.1.CK-12-Algebra-I-Concepts.2
user
The provided text is a chapter introduction from a mathematics textbook, specifically about real numbers and their subsets. It does not contain any specific mathematical questions or answers.

TYPE: NO_QUESTION