TAILIEUCHUNG - Basic Concepts of Algebra

Basic Concepts of Algebra The Real-Number System Integer Exponents, Scientific Notation, and Order of Operations Addition, Subtraction, and Multiplication of Polynomials Factoring Rational Expressions Radical Notation and Rational Exponents The Basics of Equation Solving SUMMARY AND REVIEW TEST R A P P L I C A T I O N G ina wants to establish a college fund for her newborn daughter that will have accumulated $120,000 at the end of 18 yr. If she can count on an interest rate of 6%, compounded monthly, how much should she deposit each month to accomplish this? This problem appears as Exercise. | Basic Concepts f Al I of Algebra The Real-Number System Integer Exponents Scientific Notation and Order of Operations Addition Subtraction and Multiplication of Polynomials Factoring Rational Expressions Radical Notation and Rational Exponents The Basics of Equation Solving SUMMARY AND REVIEW TEST Ú r. ina wants to establish a college fund for u her newborn daughter that will have accumulated 120 000 at the end of 18 yr. If she can count on an interest rate of 6 compounded monthly how much should she deposit each month to accomplish this This problem appears as Exercise 95 in Section . Copyright 2006 Pearson Education Inc. publishing as RlllllB ddisonlM IlIV 2 Chapter R Basic Concepts of Algebra Identify various kinds of real numbers. Use interval notation to write a set of numbers. Identify the properties of real numbers. Find the absolute value of a real number. Real Numbers In applications of algebraic concepts we use real numbers to represent quantities such as distance time speed area profit loss and temperature. Some frequently used sets of real numbers and the relationships among them are shown below. Natural numbers positive integers 1 2 3 . Whole numbers 0 1 2 3 . Integers . -3 -2 -1 0 1 2 3 . Zero 0 Rational numbers Real numbers Irrational numbers 2 p -5 V27 . . Rational numbers that are not integers 2 4 19 -7 o a Q 3 5 5 o . Negative integers 1 -2 -3 . Numbers that can be expressed in the form plq where p and q are integers and q 7 0 are rational numbers. Decimal notation for rational numbers either terminates ends or repeats. Each of the following is a rational number. a 0 b -7 c 4 .5 d 11 0 0 for any nonzero integer a a -7 7 or - 1 -1 Terminating decimal Repeating decimal 7 Copyright 2006 Pearson Education Inc. publishing as Pearson Addison-Wesley Section The Real-Number System 3 a a b b a a The real numbers that are not rational are irrational numbers. Decimal notation for irrational .

• Toán học
• Real Numbers
• Interval Notation
• Absolute Value
• Distance Between
• Number Line
• Exercise Set
• Synthesis
• Transition to higher mathematics
• Higher mathematics
• The real numbers
• Complex numbers
• Functions and computability
• The division algorithm
• Lecture Mathematics
• Relations on sets
• Equal sets
• One to one correspondence
• Equivalent sets
• Introduction to statistics
• Solving equations
• Basic college mathematics
• Division properties
• straight lines
• derivatives
• standard parts
• inverse functions
• chain rules
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• tài liệu báo cáo nghiên cứu khoa học
• kiến thức toán học
• báo cáo toán học
• công trình toán học
• báo cáo khoa học
• mathematical expressions
• Linear algebra
• Individual mathematicians
• Technology
• Mathematics
• M Convex function
• Jensen inequality
• Fejer inequality
• Hermite–Hadamard inequality
• Real numbers containing the zero
• Trigonometric functions
• College algebra
• Equations and inequalities
• Rational functions
• Factoring polynomials
• Point function
• Circular functions
• Measuring angles
• Coterminal angles
• Euclidean plane
• polar coordinates
• Roots in polynomials
• Elementary Functions
• Hyperbolic functions
• Partial integration
• simple substitutes
• advanced substitutions
• Decomposition
• Trigonometric integrals
• MAPLE programmes
• Moment of inertia
• Mathematical models
• Lecture Introduction to Stochastic Processes
• Introduction to Stochastic Processes
• Homogeneous Poisson process
• Discrete Markov chains
• Positive real numbers