Master math: basic math and pre-algebra

Introduction

Chapter 1: Numbers And Their Operations

1-1: Digits and the base ten system

1-2: Whole numbers

1-3: Addition of whole numbers

1-4: Subtraction of whole numbers

1-5: Multiplication of whole numbers

1-6: Division of whole numbers

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: 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

Chapter 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

2-8: Adding and subtracting mixed numbers

2-9: Comparing fractions: which is larger or smaller?

Chapter 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

Chapter 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

Chapter 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

Chapter 6: Ratios, Proportions, And Variation

6-1: Definitions

6-2: Comparing ratios to fractions and percents

6-3: Variation and proportion

Chapter 7: Powers And Exponents

7-1: Definition of the exponent or power

7-2: Negative exponents and bases

7-3: Multiplying exponential expressions with the same base

7-4: Multiplying exponential expressions with different bases

7-5: Dividing exponential expressions with the same base

7-6: Dividing exponential expressions with different bases

7-7: Raising exponential expressions to a power

7-8: Distributing exponents into parentheses

7-9: Addition of exponential expressions

7-10: Subtraction of exponential expressions

7-11: Exponential expressions involving fractions

Chapter 8: Logarithms

8-1: Definition of the logarithm

8-2: Common (base ten) and natural logarithm

8-3: Solving equations with logarithms or exponents

8-4: Exponential form and logarithmic form

8-5: Laws of logarithms: addition, subtraction, multiplication, division, power, and radical

8-6: Examples: the Richter Scale, pH, and radiometric dating

Chapter 9: Roots And Radicals

9-1: Definitions

9-2: Square root

9-3: Estimating square roots

9-4: Cubed root

9-5: 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

Chapter 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

Index.