Fundamentals of Mathematics

This text covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: (1) have had previous courses in prealgebra, (2) wish to meet the prerequisites of higher level courses such as elementary algebra, and (3) need to review fundamental mathematical concepts and techniques

PreAlgebra Mathematics

Tác giả: Denny Burzynski & Wade Ellis, Jr.
Nhà xuất bản: College of Southern Nevada
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 108 mục

01: Addition and Subtraction of Whole Numbers
1.01: Whole Numbers
1.02: Reading and Writing Whole Numbers
1.03: Rounding Whole Numbers
1.04: Addition of Whole Numbers
1.05: Subtraction of Whole Numbers
1.06: Properties of Addition
1.07: Summary of Key Concepts
1.08: Exercise Supplement
1.09: Proficiency Exam
02: Multiplication and Division of Whole Numbers
2.01: Multiplication of Whole Numbers
2.02: Concepts of Division of Whole Numbers
2.03: Division of Whole Numbers
2.04: Some Interesting Facts about Division
2.05: Properties of Multiplication
2.06: Summary of Key Concepts
2.07: Exercise Supplement
2.08: Proficiency Exam
03: Exponents Roots and Factorization of Whole Numbers
3.01: Exponents and Roots
3.02: Grouping Symbols and the Order of Operations
3.03: Prime Factorization of Natural Numbers
3.04: The Greatest Common Factor
3.05: The Least Common Multiple
3.06: Summary of Key Concepts
3.07: Exercise Supplement
3.08: Proficiency Exam
04: Introduction to Fractions and Multiplication and Division of Fractions
4.01: Factions of Whole Numbers
4.02: Proper Fractions Improper Fractions and Mixed Numbers
4.03: Equivalent Fractions Reducing Fractions to Lowest Terms and Raising Fractions to Higher Terms
4.04: Multiplication of Fractions
4.05: Division of Fractions
4.06: Applications Involving Fractions
4.07: Summary of Key Concepts
4.08: Exercise Supplement
4.09: Proficiency Exam
05: Addition and Subtraction of Fractions Comparing Fractions and Complex Fractions
5.01: Addition and Subtraction of Fractions with Like Denominators
5.02: Addition and Subtraction of Fractions with Unlike Denominators
5.03: Addition and Subtraction of Mixed Numbers
5.04: Comparing Fractions
5.05: Complex Fractions
5.06: Combinations of Operations with Fractions
5.07: Summary of Key Concepts
5.08: Exercise Supplement
5.09: Proficiency Exam
06: Decimals
6.01: Reading and Writing Decimals
6.02: Converting a Decimal to a Fraction
6.03: Rounding Decimals
6.04: Addition and Subtraction of Decimals
6.05: Multiplication of Decimals
6.06: Division of Decimals
6.07: Nonterminating Divisions
6.08: Converting a Fraction to a Decimal
6.09: Combinations of Operations with Decimals and Fractions
6.10: Summary of Key Concepts
6.11: Exercise Supplement
6.12: Proficiency Exam
07: Ratios and Rates
7.01: Ratios and Rates
7.02: Proportions
7.03: Applications of Proportions
7.04: Percent
7.05: Fractions of One Percent
7.06: Applications of Percents
7.07: Summary of Key Concepts
7.08: Exercise Supplement
7.09: Proficiency Exam
08: Techniques of Estimation
8.01: Estimation by Rounding
8.02: Estimation by Clustering
8.03: Mental ArithmeticUsing the Distributive Property
8.04: Estimation by Rounding Fractions
8.05: Summary of Key Concepts
8.06: Exercise Supplement
8.07: Proficiency Exam
09: Measurement and Geometry
9.01: Measurement and the United States System
9.02: The Metric System of Measurement
9.03: Simplification of Denominate Numbers
9.04: Perimeter and Circumference of Geometric Figures
9.05: Area and Volume of Geometric Figures and Objects
9.06: Summary of Key Concepts
9.07: Exercise Supplement
9.08: Proficiency Exam
10: Signed Numbers
10.01: Variables Constants and Real Numbers
10.02: Signed Numbers
10.03: Absolute Value
10.04: Addition of Signed Numbers
10.05: Subtraction of Signed Numbers
10.06: Multiplication and Division of Signed Numbers
10.07: Summary of Key Concepts
10.08: Exercise Supplement
10.09: Proficiency Exam
11: Algebraic Expressions and Equations
11.01: Algebraic Expressions
11.02: Combining Like Terms Using Addition and Subtraction
11.03: Solving Equations of the Form x a b and x - a b
11.04: Solving Equations of the Form ax b and x a b
11.05: Applications I- Translating Words to Mathematical Symbols
11.06: Applications II- Solving Problems
11.07: Summary of Key Concepts
11.08: Exercise Supplement
11.09: Proficiency Exam