Prealgebra Textbook

1 The Whole Numbers
	1.1 An Introduction to the Whole Numbers
		Graphing numbers on the number line
		Ordering the whole numbers
		Expanded notation
		Rounding whole numbers
		Tables and graphs
		Exercises
		Answers
	1.2 Adding and Subtracting Whole Numbers
		The Commutative Property of Addition
		Grouping Symbols
		The Associative Property of Addition
		The Additive Identity
		Adding Larger Whole Numbers
		Subtraction of Whole Numbers
		Subtracting Larger Whole Numbers
		Order of Operations
		Applications — Geometry
		Application — Alternative Fuels
		Exercises
		Answers
	1.3 Multiplication and Division of Whole Numbers
		The Multiplicative Identity
		Multiplication by Zero
		The Associative Property of Multiplication
		Multiplying Larger Whole Numbers
		Division of Whole Numbers
		Division is not Commutative
		Division is not Associative
		Division by Zero is Undefined
		Dividing Larger Whole Numbers
		Application — Counting Rectangular Arrays
		Application — Area
		Exercises
		Answers
	1.4 Prime Factorization
		Divisibility
		Divisibility Tests
		Prime Numbers
		Factor Trees
		Exponents
		Application
		Exercises
		Answers
	1.5 Order of Operations
		Fraction Bars
		The Distributive Property
		Exercises
		Answers
	1.6 Solving Equations by Addition and Subtraction
		Equivalent Equations
		Operations that Produce Equivalent Equations
		Wrap and Unwrap
		Word Problems
		Exercises
		Answers
	1.7 Solving Equations by Multiplication and Division
		Word Problems
		Exercises
		Answers
2 The Integers
	2.1 An Introduction to the Integers
		The Integers
		Ordering the Integers
		Opposites of Opposites
		Positive and Negative
		Absolute Value
		Applications
		Exercises
		Answers
	2.2 Adding Integers
		Vectors on the Number Line
		Magnitude and Absolute Value
		Adding Integers with Like Signs
		Adding Integers with Unlike Signs
		Properties of Addition of Integers
		Grouping for Efficiency
		Exercises
		Answers
	2.3 Subtracting Integers
		Order of Operations
		Change as a Difference
		Exercises
		Answers
	2.4 Multiplication and Division of Integers
		The Product of a Positive Integer and a Negative Integer
		The Distributive Property
		The Multiplicative Property of Zero
		Multiplying by Minus One
		The Product of Two Negative Integers
		Memory Device
		Division of Integers
		Exercises
		Answers
	2.5 Order of Operations with Integers
		Evaluating Fractions
		Absolute Value
		Exercises
		Answers
	2.6 Solving Equations Involving Integers
		Adding or Subtracting the Same Amount
		Multiplying or Dividing by the Same Amount
		Combining Operations
		Applications
		Exercises
		Answers
3 The Fundamentals of Algebra
	3.1 Mathematical Expressions
		Translating Words into Mathematical Expressions
		Combinations
		Exercises
		Answers
	3.2 Evaluating Algebraic Expressions
		Exercises
		Answers
	3.3 Simplifying Algebraic Expressions
		Speeding Things Up
		The Distributive Property
		Moving a Bit Quicker
		Extending the Distributive Property
		Distributing a Negative
		Exercises
		Answers
	3.4 Combining Like Terms
		Like Terms
		Combining Like Terms
		Speeding Things Up a Bit
		Simplify
		Applications
		Exercises
		Answers
	3.5 Solving Equations Involving Integers II
		Variables on Both Sides
		Exercises
		Answers
	3.6 Applications
		Consecutive Integers
		Consecutive Odd Integers
		Tables
		Exercises
		Answers
4 Fractions
	4.1 Equivalent Fractions
		The Greatest Common Divisor
		Reducing a Fraction to Lowest Terms
		Reducing Fractions with Variables
		A Word on Mathematical Notation.
		Equivalent Fractions in Higher Terms
		Negative Fractions
		Exercises
		Answers
	4.2 Multiplying Fractions
		Multiplication Rule
		Multiply and Reduce
		Multiply and Cancel or Cancel and Multiply
		Parallelograms
		Triangles
		Exercises
		Answers
	4.3 Dividing Fractions
		Reciprocals
		Division
		Exercises
		Answers
	4.4 Adding and Subtracting Fractions
		Adding Fractions with Different Denominators
		Least Common Multiple
		Least Common Multiple Using Prime Factorization
		Comparing Fractions
		Exercises
		Answers
	4.5 Multiplying and Dividing Mixed Fractions
		Changing Mixed Fractions to Improper Fractions
		Changing Improper Fractions to Mixed Fractions
		Multiplying and Dividing Mixed Fractions
		Exercises
		Answers
	4.6 Adding and Subtracting Mixed Fractions
		Adding Mixed Fractions
		Working in Vertical Format
		Subtracting Mixed Fractions
		Working in Vertical Format
		Borrowing in Vertical Format
		Exercises
		Answers
	4.7 Order of Operations with Fractions
		Order of Operations
		Complex Fractions
		Application — Trapezoid
		Exercises
		Answers
	4.8 Solving Equations with Fractions
		Undoing Subtraction
		Undoing Addition
		Undoing Multiplication
		Clearing Fractions from the Equation
		Applications
		Exercises
		Answers
5 Decimals
	5.1 Introduction to Decimals
		Decimal Notation
		Pronouncing Decimal Numbers
		Decimals to Fractions
		Rounding
		Comparing Decimals
		Exercises
		Answers
	5.2 Adding and Subtracting Decimals
		Adding Decimals
		Subtracting Decimals
		Adding and Subtracting Signed Decimal Numbers
		Exercises
		Answers
	5.3 Multiplying Decimals
		Multiplying Signed Decimal Numbers
		Order of Operations
		Powers of Ten
		Multiplying Decimal Numbers by Powers of Ten
		The Circle
		Exercises
		Answers
	5.4 Dividing Decimals
		Decimal Divisors
		Dividing Signed Decimal Numbers
		Rounding
		Dividing by Powers of Ten
		Order of Operations
		Exercises
		Answers
	5.5 Fractions and Decimals
		Terminating Decimals
		Repeating Decimals
		Expressions Containing Both Decimals and Fractions
		Exercises
		Answers
	5.6 Equations With Decimals
		Combining Operations
		Combining Like Terms
		Using the Distributive Property
		Rounding Solutions
		Applications
		Exercises
		Answers
	5.7 Introduction to Square Roots
		Square Roots
		Radical Notation
		Order of Operations
		Fractions and Decimals
		Estimating Square Roots
		Exercises
		Answers
	5.8 The Pythagorean Theorem
		Exercises
		Answers
6 Ratio and Proportion
	6.1 Introduction to Ratios and Rates
		Rates
		Unit Rates
		Exercises
		Answers
	6.2 Introduction to Proportion
		Solving Proportions
		Applications
		Exercises
		Answers
	6.3 Unit Conversion: American System
		Units of Length
		Units of Weight
		Units of Volume
		Units of Time
		Converting Units of Speed
		Exercises
		Answers
	6.4 Unit Conversion: Metric System
		Units of Length
		Units of Mass
		Units of Volume
		Exercises
		Answers
	6.5 American Units to Metric Units and Vice-Versa
		Converting Units of Length
		Converting Units of Weight and Mass
		Converting Units of Volume
		Converting Units of Speed
		Exercises
		Answers
7 Percent
	7.1 Percent, Decimals, Fractions
		Changing a Percent to a Fraction
		Changing a Percent to a Decimal
		Changing a Decimal to a Percent
		Changing a Fraction to a Percent
		Exercises
		Answers
	7.2 Solving Basic Percent Problems
		Find a Given Percent of a Given Number
		Find a Percent Given Two Numbers
		Find a Number that is a Given Percent of Another Number
		Exercises
		Answers
	7.3 General Applications of Percent
		Exercises
		Answers
	7.4 Percent Increase or Decrease
		Percent Increase
		Percent Decrease
		Discount
		Exercises
		Answers
	7.5 Interest
		Extending the Simple Interest Formula
		Exercises
		Answers
	7.6 Pie Charts
		Pie Charts
		Exercises
		Answers
8 Graphing
	8.1 The Cartesian Coordinate System
		Allowing for Negative Numbers
		Exercises
		Answers
	8.2 Graphing Linear Equations
		The Graph of an Equation
		Linear Equations
		Exercises
		Answers
Index