Master Math: Basic Math and Pre-Algebra,9781598639827

Master Math: Basic Math and Pre-Algebra

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Edition: 2nd
ISBN13: 9781598639827
ISBN10: 159863982X
Format: Paperback
Pub. Date: 2009-05-21
Publisher(s): Cengage Learning PTR
List Price: $18.90

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Summary

"Master Math: Basic Math and Pre-Algebra" is a comprehensive arithmetic book that explains the subject matter in a user-friendly and accessible manner. It begins with the most basic fundamental principles and progresses through more advanced topics to establish a solid math foundation. "Basic Math and Pre-Algebra" provides step-by-step solutions to problems in topics such as complex fractions, mixed numbers and improper fractions; converting fractions, percents, and decimals; solving equations with logarithms or exponents, and much more.

Table of Contents

Introductionp. 1
Numbers and Their Operationsp. 5
Digits and the Base Ten Systemp. 6
Whole Numbersp. 6
Addition of Whole Numbersp. 7
Subtraction of Whole Numbersp. 14
Multiplication of Whole Numbersp. 20
Division of Whole Numbersp. 32
Divisibility, Remainders, Factors, and Multiplesp. 40
Integersp. 41
Even and Odd Integersp. 42
Zerop. 44
Addition and Subtraction of Negative and Positive Integersp. 45
Multiplication and Division of Negative and Positive Integersp. 47
The Real Number Linep. 49
Absolute Valuep. 49
Prime Numbersp. 50
Rational vs. Irrational Numbersp. 51
Complex Numbersp. 51
Rounding, Truncating, and Estimating Numbersp. 55
Inequalities, >, <, <$$$>p. 58
Factorialp. 63
Fractionsp. 67
Definitionsp. 68
Multiplying Fractionsp. 69
Adding and Subtracting Fractions with Common Denominatorsp. 69
Adding and Subtracting Fractions with Different Denominatorsp. 70
Dividing Fractionsp. 76
Reducing Fractionsp. 77
Complex Fractions, Mixed Numbers, and Improper Fractionsp. 78
Adding and Subtracting Mixed Numbersp. 82
Comparing Fractions: Which Is Larger or Smaller?p. 83
Decimalsp. 89
Definitionsp. 90
Adding and Subtracting Decimalsp. 92
Multiplying Decimalsp. 95
Dividing Decimalsp. 97
Rounding Decimalsp. 98
Comparing the Size of Decimalsp. 100
Decimals and Moneyp. 100
Percentagesp. 105
Definitionsp. 106
Figuring Out the Percents of Numbersp. 107
Adding, Subtracting, Multiplying, and Dividing Percentsp. 109
Percent Increase and Decrease (Percent Change)p. 111
Simple and Compound Interestp. 112
Converting Percentages, Fractions, and Decimalsp. 117
Converting Fractions to Percentsp. 118
Converting Percents to Fractionsp. 118
Converting Fractions to Decimalsp. 119
Converting Decimals to Fractionsp. 119
Converting Percents to Decimalsp. 121
Converting Decimals to Percentsp. 122
Ratios, Proportions, and Variationp. 125
Definitionsp. 126
Comparing Ratios to Fractions and Percentsp. 127
Variation and Proportionp. 128
Powers and Exponentsp. 131
Definition of the Exponent or Powerp. 132
Negative Exponents and Basesp. 132
Multiplying Exponential Expressions with the Same Basep. 133
Multiplying Exponential Expressions with Different Basesp. 134
Dividing Exponential Expressions with the Same Basep. 135
Dividing Exponential Expressions with Different Basesp. 136
Raising Exponential Expressions to a Powerp. 136
Distributing Exponents into Parenthesesp. 137
Addition of Exponential Expressionsp. 138
Subtraction of Exponential Expressionsp. 138
Exponential Expressions Involving Fractionsp. 139
Logarithmsp. 143
Definition of the Logarithmp. 144
Common (Base Ten) and Natural Logarithmp. 145
Solving Equations with Logarithms or Exponentsp. 146
Exponential Form and Logarithmic Formp. 147
Laws of Logarithms: Addition, Subtraction, Multiplication, Division, Power, and Radicalp. 149
Examples: The Richter Scale, pH, and Radiometric Datingp. 149
Roots and Radicalsp. 157
Definitionsp. 158
The Square Rootp. 158
Estimating Square Rootsp. 159
The Cubed Rootp. 163
The Fourth and Fifth Rootsp. 164
Simplifying Radicals by Factoringp. 164
Multiplying Radicalsp. 165
Dividing Radicalsp. 165
Radicals Involving Fractionsp. 166
Rationalizing the Denominatorp. 166
Addition of Radicalsp. 167
Subtraction of Radicalsp. 168
Important Statistical Quantitiesp. 171
Average (Arithmetic Mean)p. 172
Medianp. 174
Modep. 175
Probabilityp. 175
Standard Deviation, Variance, Histograms, and Distributionsp. 176
Indexp. 181
Table of Contents provided by Ingram. All Rights Reserved.

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