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| Introduction | |
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| Numbers and Their Operations | |
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| Digits and the Base Ten System | |
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| Whole Numbers | |
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| Addition of Whole Numbers | |
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| Subtraction of Whole Numbers | |
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| Multiplication of Whole Numbers | |
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| Division of Whole Numbers | |
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| Divisibility, Remainders, Factors, and Multiples | |
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| Integers | |
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| Even and Odd Integers | |
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| Zero | |
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| Addition and Subtraction of Negative and Positive Integers | |
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| Multiplication and Division of Negative and Positive Integers | |
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| The Real Number Line | |
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| Absolute Value | |
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| Prime Numbers | |
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| Rational vs. Irrational Numbers | |
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| Complex Numbers | |
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| Rounding, Truncating, and Estimating Numbers | |
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| Inequalities, >, <, <$$$> | |
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| Factorial | |
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| Fractions | |
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| Definitions | |
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| Multiplying Fractions | |
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| Adding and Subtracting Fractions with Common Denominators | |
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| Adding and Subtracting Fractions with Different Denominators | |
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| Dividing Fractions | |
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| Reducing Fractions | |
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| Complex Fractions, Mixed Numbers, and Improper Fractions | |
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| Adding and Subtracting Mixed Numbers | |
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| Comparing Fractions: Which Is Larger or Smaller? | |
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| Decimals | |
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| Definitions | |
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| Adding and Subtracting Decimals | |
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| Multiplying Decimals | |
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| Dividing Decimals | |
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| Rounding Decimals | |
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| Comparing the Size of Decimals | |
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| Decimals and Money | |
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| Percentages | |
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| Definitions | |
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| Figuring Out the Percents of Numbers | |
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| Adding, Subtracting, Multiplying, and Dividing Percents | |
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| Percent Increase and Decrease (Percent Change) | |
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| Simple and Compound Interest | |
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| Converting Percentages, Fractions, and Decimals | |
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| Converting Fractions to Percents | |
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| Converting Percents to Fractions | |
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| Converting Fractions to Decimals | |
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| Converting Decimals to Fractions | |
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| Converting Percents to Decimals | |
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| Converting Decimals to Percents | |
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| Ratios, Proportions, and Variation | |
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| Definitions | |
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| Comparing Ratios to Fractions and Percents | |
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| Variation and Proportion | |
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| Powers and Exponents | |
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| Definition of the Exponent or Power | |
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| Negative Exponents and Bases | |
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| Multiplying Exponential Expressions with the Same Base | |
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| Multiplying Exponential Expressions with Different Bases | |
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| Dividing Exponential Expressions with the Same Base | |
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| Dividing Exponential Expressions with Different Bases | |
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| Raising Exponential Expressions to a Power | |
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| Distributing Exponents into Parentheses | |
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| Addition of Exponential Expressions | |
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| Subtraction of Exponential Expressions | |
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| Exponential Expressions Involving Fractions | |
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| Logarithms | |
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| Definition of the Logarithm | |
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| Common (Base Ten) and Natural Logarithm | |
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| Solving Equations with Logarithms or Exponents | |
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| Exponential Form and Logarithmic Form | |
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| Laws of Logarithms: Addition, Subtraction, Multiplication, Division, Power, and Radical | |
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| Examples: The Richter Scale, pH, and Radiometric Dating | |
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| Roots and Radicals | |
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| Definitions | |
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| The Square Root | |
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| Estimating Square Roots | |
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| The Cubed Root | |
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| The Fourth and Fifth Roots | |
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| Simplifying Radicals by Factoring | |
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| Multiplying Radicals | |
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| Dividing Radicals | |
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| Radicals Involving Fractions | |
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| Rationalizing the Denominator | |
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| Addition of Radicals | |
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| Subtraction of Radicals | |
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| Important Statistical Quantities | |
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| Average (Arithmetic Mean) | |
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| Median | |
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| Mode | |
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| Probability | |
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| Standard Deviation, Variance, Histograms, and Distributions | |
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| Index | |