Get the knowledge and skills you need to solve math problems with confidence! This book won't overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts-allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, let you check your progress. In no time at all, you will have…mehr
Get the knowledge and skills you need to solve math problems with confidence! This book won't overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts-allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, let you check your progress. In no time at all, you will have acquired the knowledge and skills you need to solve math problems with confidence! Features .A unique building-block approach to mastering math .Down-to-earth explanations of important rules and concepts .Sample problems that are carefully explained-step by step .Exercises that will allow you to practice what you've learned and measure your progress .Insights on how to avoid common mistakes
William D. Clark, PhD, is a professor of mathematics at Stephen F. Austin State University. >Sandra Luna McCune, PhD, is a former Regents Professor who taught as a mathematics specialist at Stephen F. Austin State University. She is currently an in-demand consultant on math and statistics.
Inhaltsangabe
1 Numbers and Operations Natural Numbers and Whole Numbers Integers Rational, Irrational, and Real Numbers Terminology for the Four Basic Operations Division Involving Zero Properties of Real Numbers 2 Integers Comparing Integers Absolute Value Adding Signed Numbers Subtracting Signed Numbers Use of the - Symbol Multiplying Signed Numbers Dividing Signed Numbers 3 Exponents Exponential Notation Natural Number Exponents Zero Exponents Negative Exponents 4 Order of Operations Grouping Symbols PEMDAS 5 Fractions Fraction Concepts Reducing Fractions to Lowest Form Equivalent Fractions Adding and Subtracting Fractions Multiplying and Dividing Fractions Working with Mixed Numbers and Improper Fractions 6 Decimals Decimal Concepts Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Rounding Decimals 7 Percents Percent Concepts Changing Percents to Decimal Form Changing Decimals to Percent Form Changing Percents to Fraction Form Changing Fractions to Percent Form Common Percents to Know 8 Units of Measurement Metric System Prefixes US Customary and Metric Units Denominate Numbers Converting Units of Denominate Numbers Shortcut for Converting Within the Metric System Using a "Chain" of Conversion Fractions Converting Money to Different Denominations Rough Equivalencies for the Metric System Reading Measuring Instruments Determining Unit Price 9 Ratios and Proportions Ratio Concepts Proportion Concepts Solving Proportions Solving Application Problems Involving Proportions Using Proportions to Solve Percent Problems 10 Roots and Radicals Square Roots Principal Square Roots and Radicals Perfect Squares Cube Roots 11 Algebraic Expressions Algebraic Terminology Evaluating Algebraic Expressions Dealing with Parentheses 12 Formulas Definition of Formula Evaluating Formulas 13 Polynomials Terms and Monomials Polynomials Like Terms Adding and Subtracting Monomials Simplifying Polynomial Expressions Adding Polynomials Subtracting Polynomials 14 Solving Equations Equation Terminology Solving Equations Translating and Solving Word Equations Writing Equations to Solve Percent Problems 15 Informal Geometry Congruence Similarity Symmetry Angles Lines Polygons Triangles Quadrilaterals Parts of a Circle Solid Figures 16 Perimeter, Area, and Volume Perimeter Perimeter of Special Shapes Area Surface Area Volume 17 Pythagorean Theorem Right Triangle Concepts Pythagorean Theorem Converse of the Pythagorean Theorem 18 Counting and Probability Counting Methods Basic Probability Concepts Probability When Drawing with or Without Replacement Probability for Independent Events 19 Mean, Median, Mode, and Range Mean Weighted Average Median Mode Range 20 Graphical Representation of Data Pictographs Bar Graphs Circle Graphs Line Graphs Stem-and-Leaf Plots Histograms Dot Plots Answer Key Index
1 Numbers and Operations Natural Numbers and Whole Numbers Integers Rational, Irrational, and Real Numbers Terminology for the Four Basic Operations Division Involving Zero Properties of Real Numbers 2 Integers Comparing Integers Absolute Value Adding Signed Numbers Subtracting Signed Numbers Use of the - Symbol Multiplying Signed Numbers Dividing Signed Numbers 3 Exponents Exponential Notation Natural Number Exponents Zero Exponents Negative Exponents 4 Order of Operations Grouping Symbols PEMDAS 5 Fractions Fraction Concepts Reducing Fractions to Lowest Form Equivalent Fractions Adding and Subtracting Fractions Multiplying and Dividing Fractions Working with Mixed Numbers and Improper Fractions 6 Decimals Decimal Concepts Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Rounding Decimals 7 Percents Percent Concepts Changing Percents to Decimal Form Changing Decimals to Percent Form Changing Percents to Fraction Form Changing Fractions to Percent Form Common Percents to Know 8 Units of Measurement Metric System Prefixes US Customary and Metric Units Denominate Numbers Converting Units of Denominate Numbers Shortcut for Converting Within the Metric System Using a "Chain" of Conversion Fractions Converting Money to Different Denominations Rough Equivalencies for the Metric System Reading Measuring Instruments Determining Unit Price 9 Ratios and Proportions Ratio Concepts Proportion Concepts Solving Proportions Solving Application Problems Involving Proportions Using Proportions to Solve Percent Problems 10 Roots and Radicals Square Roots Principal Square Roots and Radicals Perfect Squares Cube Roots 11 Algebraic Expressions Algebraic Terminology Evaluating Algebraic Expressions Dealing with Parentheses 12 Formulas Definition of Formula Evaluating Formulas 13 Polynomials Terms and Monomials Polynomials Like Terms Adding and Subtracting Monomials Simplifying Polynomial Expressions Adding Polynomials Subtracting Polynomials 14 Solving Equations Equation Terminology Solving Equations Translating and Solving Word Equations Writing Equations to Solve Percent Problems 15 Informal Geometry Congruence Similarity Symmetry Angles Lines Polygons Triangles Quadrilaterals Parts of a Circle Solid Figures 16 Perimeter, Area, and Volume Perimeter Perimeter of Special Shapes Area Surface Area Volume 17 Pythagorean Theorem Right Triangle Concepts Pythagorean Theorem Converse of the Pythagorean Theorem 18 Counting and Probability Counting Methods Basic Probability Concepts Probability When Drawing with or Without Replacement Probability for Independent Events 19 Mean, Median, Mode, and Range Mean Weighted Average Median Mode Range 20 Graphical Representation of Data Pictographs Bar Graphs Circle Graphs Line Graphs Stem-and-Leaf Plots Histograms Dot Plots Answer Key Index
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