Master Math · Basic Math and Pre-Algebra by Ross, Debra Anne -- Read -- Imperial Library of Trantor

Index

1.1. Digits and the Base Ten System 1.2. Whole Numbers 1.3. Addition of Whole Numbers

A Detailed Explanation of Addition A Detailed Description of the Standard Addition Technique

1.4. Subtraction of Whole Numbers

1.5. Multiplication of Whole Numbers

An Explanation of Multiplication A Detailed Description of the Standard Multiplication Technique

1.6. Division of Whole Numbers

A Description of the Long Division Technique

1.7. Divisibility, Remainders, Factors, and Multiples 1.8. Integers 1.9. Even and Odd Integers 1.10. Zero 1.11. Addition and Subtraction of Negative and Positive Integers 1.12. Multiplication and Division of Negative and Positive Integers 1.13. The Real Number Line 1.14. Absolute Value 1.15. Prime Numbers 1.16. Rational vs. Irrational Numbers 1.17. Complex Numbers 1.18. Rounding, Truncating, and Estimating Numbers 1.19. Inequalities, >, <, ≥, ≤ 1.20. Factorial

2. Fractions

2.1. Definitions 2.2. Multiplying Fractions 2.3. Adding and Subtracting Fractions with Common Denominators 2.4. Adding and Subtracting Fractions with Different Denominators 2.5. Dividing Fractions 2.6. Reducing Fractions 2.7. Complex Fractions, Mixed Numbers, and Improper Fractions

Method 1 Method 2

2.8. Adding and Subtracting Mixed Numbers 2.9. Comparing Fractions: Which is Larger or Smaller?

3. Decimals

3.1. Definitions 3.2. Adding and Subtracting Decimals 3.3. Multiplying Decimals 3.4. Dividing Decimals 3.5. Rounding Decimals 3.6. Comparing the Size of Decimals 3.7. Decimals and Money

4. Percentages

4.1. Definitions 4.2. Figuring Out the Percents of Numbers 4.3. Adding, Subtracting, Multiplying, and Dividing Percents 4.4. Percent Increase and Decrease (Percent Change) 4.5. Simple and Compound Interest

5. Converting Percentages, Fractions, and Decimals

5.1. Converting Fractions to Percents 5.2. Converting Percents to Fractions 5.3. Converting Fractions to Decimals 5.4. Converting Decimals to Fractions 5.5. Converting Percents to Decimals 5.6. Converting Decimals to Percents

6. Ratios, Proportions, and Variation

6.1. Definitions 6.2. Comparing Ratios to Fractions and Percents 6.3. Variation and Proportion

7. Powers and Exponents

8. Logarithms

9. Roots and Radicals

9.1. Definitions 9.2. The Square Root 9.3. Estimating Square Roots 9.4. The Cubed Root 9.5. The Fourth and Fifth Roots 9.6. Simplifying Radicals by Factoring 9.7. Multiplying Radicals 9.8. Dividing Radicals 9.9. Radicals Involving Fractions 9.10. Rationalizing the Denominator 9.11. Addition of Radicals 9.12. Subtraction of Radicals

10. Important Statistical Quantities

10.1. Average (Arithmetic Mean) 10.2. Median 10.3. Mode 10.4. Probability 10.5. Standard Deviation, Variance, Histograms, and Distributions