Schaum's Outline of Review Of Elementary Mathematics, Second Edition | Schaum's Outline

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Schaum's Outline of Review Of Elementary Mathematics, Second Edition

Schaum's Outline of Review Of Elementary Mathematics, Second Edition

Authors: Barnett Rich and Philip A. Schmidt

Published: 1997

ISBN: 9780071368872 0070522790

Contents

Chapter 1 FUNDAMENTALS OF ARITHMETIC: NUMBER

1. Number

2. Decimal System of Numeration

3. Number Line

Chapter 2 FUNDAMENTALS OF ARITHMETIC AND INTRODUCTION TO CALCULATORS

1. Fundamental Operations of Arithmetic

2. Fundamental Properties of Addition

3. Adding Numbers

4. Fundamental Properties of Multiplication

5. Multiplication by a Place Value or by a Multiple of a Place Value

6. Distributive Law

7. Multiplying by a One-Digit Number

8. Multiplying Numbers of Any Size.

9. Relating Subtraction and Addition

10. Subtracting Whole Numbers

11. Relating Division and Multiplication

12. Division Using Repeated Subtraction

13. Long Division and Short Division

14. Factors, Multiples, Divisors, and Primes

15. Using a Calculator to Perform the Fundamental Operations of Arithmetic

Chapter 3 FRACTIONS

1. Understanding Fractions

2. Equivalent Fractions: Reduction to Lowest Terms

3. Multiplying Fractions

4. Dividing with Fractions

5. Expressing a Fraction in Higher Terms

6. Adding or Subtracting Like Fractions

7. Adding or Subtracting Unlike Fractions

8. Comparing and Ordering Fractions

9. Expressing a Whole Number or a Mixed Number as an Improper Fraction

10. Expressing an Improper Fraction as a Whole or Mixed Number

11. Adding with Mixed Numbers

12. Subtracting with Mixed Numbers

13. Multiplying or Dividing with Mixed Numbers

Chapter 4 DECIMALS

1. Understanding Decimals and Decimal Fractions

2. Ordering and Comparing Decimals

3. Rounding Decimals

4. Adding Decimals

5. Subtracting Decimals

6. Multiplying Decimals

7. Dividing Decimals

8. Expressing Common Fractions as Decimals

9. Expressing Decimals as Common Fractions

10. Decimals and Calculators

Chapter 5 PER CENTS

1. Meanings of Per Cent

2. Per Cents and Decimals

3. Per Cents and Fractions

4. Finding a Per Cent of a Given Number

5. Finding What Per Cent One Number 1s of a Second Number

6. Finding a Number When a Per Cent of It 1s Given

7. Finding a New Value, Given the Old Value and the Per Cent Change

8. Finding a Per Cent Change Given the Old and the New Values

Chapter 6 SIGNED NUMBERS

1. Positive and Negative Numbers and Integers

2. Comparing Signed Numbers

3. Adding Signed Numbers

4. Simplifying the Addition of Signed Numbers

5. Subtracting Signed Numbers

6. Multiplying Signed Numbers

7. Finding Powers of Signed Numbers

8. Dividing Signed Numbers

9. Evaluating Expressions Having Signed Numbers

Chapter 7 FUNDAMENTALS OF ALGEBRA: LAWS AND OPERATIONS

1. Relating Fundamentals of Arithmetic and Algebra

2. Commutative Law of Addition

3. Commutative Law of Multiplication

4. Symbolizing the Fundamental Operations in Algebra: Division by Zero

5. Expressing Addition and Subtraction Algebraically

6. Expressing Multiplication and Division Algebraically

7. Expressing Algebraically Statements Involving Two or More Operations

8. Associative Laws of Addition and Multiplication

9. Order in Which Fundamental Operations Are Performed

10. Terms, Factors, and Coefficients

11. Repeated Multiplying of a Factor: Base, Exponent, and Power

Chapter 8 FUNDAMENTALS OF ALGEBRA: EQUATIONS AND FORMULAS

1. Variables and Equations

2. Translating Verbal Problems into Equations

3. Solving Simple Equations Using Inverse Operations

4. Rules for Solving Equations

5. Using Division to Solve an Equation

6. Using Multiplication to Solve an Equation

7. Using Subtraction to Solve an Equation

8. Using Addition to Solve an Equation

9. Using Two or More Operations to Solve an Equation

10. Deriving Formulas

11. Transforming Formulas

12. Finding the Value of a Variable in a Formula

Chapter 9 RATIOS, PROPORTIONS, AND RATES

1. Ratios of Two Quantities

2. Expressing Ratios as Fractions, Decimals, and Per Cents

3. Proportions: Equal Ratios

4. Problems Involving Unknowns in a Given Ratio

5. Ratios of Three or More Quantities: Continued Ratios

6. Rates of Speed and Prices

Chapter 10 FUNDAMENTALS OF GEOMETRY

1. Fundamental Terms: Point, Line, Surface, Solid, Line Segment, Ray

2. Angles

3. Kinds of Angles

4. Pairs of Angles

5. Perpendicular and Parallel Lines: Transversals

6. Planar and Spatial Figures

7. Polygons

8. Circles

9. Triangles

10. Quadrilaterals

11. Angle-Sums of Triangles and Quadrilaterals

12. Perimeters and Circumferences: Linear Measure Formulas

13. Areas: Square Measure Formulas

14. Understanding Squares of Numbers

15. Understanding Square Roots of Numbers

16. Finding the Square Root of a Number by Using a Calculator

17. Simplifying the Square Root of a Product

18. Law of Pythagoras

INDEX