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Summary
Basic Mathematical Skills with Geometry, 8/e by Baratto/Bergmanis part of the latest offerings in the successful Hutchison Series in Mathematics. The eigth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice.This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxietyboxes, Check Yourselfexercises, and Activitiesrepresent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.
Table of Contents
1 Operations on Whole Numbers
1.1 The Decimal Place-Value System
1.2 Addition
1.3 Subtraction
1.4 Rounding, Estimation, and Order
1.5 Multiplication
1.6 Division
1.7 Exponential Notation and the Order of Operations
2 Multiplying and Dividing Fractions
2.1 Prime Numbers and Divisibility
2.2 Factoring Whole Numbers
2.3 Fraction Basics
2.4 Simplifying Fractions
2.5 Multiplying Fractions
2.6 Dividing Fractions
3 Adding and Subtracting Fractions
3.1 Adding and Subtracting Fractions with Like Denominators
3.2 Common Multiples
3.3 Adding and Subtracting Fractions with Unlike Denominators
3.4 Adding and Subtracting Mixed Numbers
3.5 Order of Operations with Fractions
3.6 Estimation Applications
4 Decimals
4.1 Place Value and Rounding
4.2 Converting Between Fractions and Decimals
4.3 Adding and Subtracting Decimals
4.4 Multiplying Decimals
4.5 Dividing Decimals
5 Ratios and Proportions
5.1 Ratios
5.2 Rates and Unit Pricing
5.3 Proportions
5.4 Solving Proportions
6 Percents
6.1 Writing Percents as Fractions and Decimals
6.2 Writing Decimals and Fractions as Percents
6.3 Identifying the Parts of a Percent Problem
6.4 Solving Percent Problems
7 Measurement
7.1 The Units of the English System
7.2 Metric Units of Length
7.3 Metric Units of Weight and Volume
7.4 Converting Between the English and Metric Systems
8 Geometry
8.1 Area and Circumference
8.2 Lines and Angles
8.3 Triangles
8.4 Square Roots and the Pythagorean Theorem
9 Data Analysis and Statistics
9.1 Means, Medians, and Modes
9.2 Tables, Pictographs, and Bar Graphs
9.3 Line Graphs and Predictions
9.4 Creating Bar Graphs and Pie Charts
9.5 Describing and Summarizing Data Sets
10 The Real Number System
10.1 Real Numbers and Order
10.2 Adding Real Numbers
10.3 Subtracting Real Numbers
10.4 Multiplying Real Numbers
10.5 Dividing Real Numbers and the Order of Operations
11 An Introduction to Algebra
11.1 From Arithmetic to Algebra
11.2 Evaluating Algebraic Expressions
11.3 Adding and Subtracting Algebraic Expressions
11.4 Using the Addition Property to Solve an Equation
11.5 Using the Multiplication Property to Solve an Equation