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E-grāmata: Easy Math Step-by-Step, Second Edition

  • Formāts: PDF+DRM
  • Izdošanas datums: 28-Dec-2018
  • Izdevniecība: McGraw-Hill Education
  • Valoda: eng
  • ISBN-13: 9781260135220
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  • Formāts: PDF+DRM
  • Izdošanas datums: 28-Dec-2018
  • Izdevniecība: McGraw-Hill Education
  • Valoda: eng
  • ISBN-13: 9781260135220
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Get the knowledge and skills you need to solve math problems with confidence!

This book won’t overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts—allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, let you check your progress. In no time at all, you will have acquired the knowledge and skills you need to solve math problems with confidence!

Features

•A unique building-block approach to mastering math
•Down-to-earth explanations of important rules and concepts
•Sample problems that are carefully explained—step by step
•Exercises that will allow you to practice what you’ve learned and measure your progress
•Insights on how to avoid common mistakes

Preface vii
1 Numbers and Operations
1(15)
Natural Numbers and Whole Numbers
1(1)
Integers
2(2)
Rational, Irrational, and Real Numbers
4(4)
Terminology for the Four Basic Operations
8(1)
Division Involving Zero
8(2)
Properties of Real Numbers
10(6)
2 Integers
16(19)
Comparing Integers
16(1)
Absolute Value
17(2)
Adding Signed Numbers
19(4)
Subtracting Signed Numbers
23(4)
Use of the - Symbol
27(1)
Multiplying Signed Numbers
28(3)
Dividing Signed Numbers
31(4)
3 Exponents
35(10)
Exponential Notation
35(2)
Natural Number Exponents
37(3)
Zero Exponents
40(1)
Negative Exponents
41(4)
4 Order of Operations
45(9)
Grouping Symbols
45(2)
Pemdas
47(7)
5 Fractions
54(11)
Fraction Concepts
54(1)
Reducing Fractions to Lowest Form
55(2)
Equivalent Fractions
57(1)
Adding and Subtracting Fractions
57(3)
Multiplying and Dividing Fractions
60(1)
Working with Mixed Numbers and Improper Fractions
61(4)
6 Decimals
65(6)
Decimal Concepts
65(1)
Adding and Subtracting Decimals
66(1)
Multiplying Decimals
67(1)
Dividing Decimals
68(1)
Rounding Decimals
69(2)
7 Percents
71(13)
Percent Concepts
71(1)
Changing Percents to Decimal Form
71(2)
Changing Decimals to Percent Form
73(2)
Changing Percents to Fraction Form
75(5)
Changing Fractions to Percent Form
80(2)
Common Percents to Know
82(2)
8 Units of Measurement
84(17)
Metric System Prefixes
84(1)
US Customary and Metric Units
85(1)
Denominate Numbers
86(1)
Converting Units of Denominate Numbers
87(5)
Shortcut for Converting Within the Metric System
92(2)
Using a "Chain" of Conversion Fractions
94(1)
Converting Money to Different Denominations
95(2)
Rough Equivalencies for the Metric System
97(1)
Reading Measuring Instruments
97(1)
Determining Unit Price
98(3)
9 Ratios and Proportions
101(12)
Ratio Concepts
101(1)
Proportion Concepts
101(1)
Solving Proportions
102(1)
Solving Application Problems Involving Proportions
103(3)
Using Proportions to Solve Percent Problems
106(7)
10 Roots and Radicals
113(8)
Square Roots
113(2)
Principal Square Roots and Radicals
115(2)
Perfect Squares
117(1)
Cube Roots
118(3)
11 Algebraic Expressions
121(10)
Algebraic Terminology
121(3)
Evaluating Algebraic Expressions
124(3)
Dealing with Parentheses
127(4)
12 Formulas
131(5)
Definition of Formula
131(1)
Evaluating Formulas
131(5)
13 Polynomials
136(12)
Terms and Monomials
136(2)
Polynomials
138(2)
Like Terms
140(1)
Adding and Subtracting Monomials
141(1)
Simplifying Polynomial Expressions
142(2)
Adding Polynomials
144(1)
Subtracting Polynomials
145(3)
14 Solving Equations
148(16)
Equation Terminology
148(1)
Solving Equations
148(9)
Translating and Solving Word Equations
157(2)
Writing Equations to Solve Percent Problems
159(5)
15 Informal Geometry
164(32)
Congruence
164(2)
Similarity
166(2)
Symmetry
168(3)
Angles
171(2)
Lines
173(3)
Polygons
176(2)
Triangles
178(4)
Quadrilaterals
182(3)
Parts of a Circle
185(2)
Solid Figures
187(9)
16 Perimeter, Area, and Volume
196(16)
Perimeter
196(1)
Perimeter of Special Shapes
197(4)
Area
201(4)
Surface Area
205(1)
Volume
206(6)
17 Pythagorean Theorem
212(9)
Right Triangle Concepts
212(1)
Pythagorean Theorem
212(7)
Converse of the Pythagorean Theorem
219(2)
18 Counting and Probability
221(14)
Counting Methods
221(5)
Basic Probability Concepts
226(4)
Probability When Drawing with or Without Replacement
230(2)
Probability for Independent Events
232(3)
19 Mean, Median, Mode, and Range
235(11)
Mean
235(2)
Weighted Average
237(1)
Median
238(2)
Mode
240(2)
Range
242(4)
20 Graphical Representation of Data
246(13)
Pictographs
246(1)
Bar Graphs
247(2)
Circle Graphs
249(1)
Line Graphs
250(1)
Stem-and-Leaf Plots
251(1)
Histograms
252(2)
Dot Plots
254(5)
Answer Key 259(24)
Index 283