# Math Skills: Arithmetic with Introductory Algebra and Geometry

Author(s): Ronald Staszkow

Math Skills: Arithmetic with Introductory Algebra and Geometry has been written for students who need to acquire a better understanding of and facility with arithmetic and need an introduction to algebra and geometry.

The text has enough explanations, real-life examples, solved problems, exercises, tests, and review material to meet the needs of both individualized (lab based) and lecture formats.

The seventh edition also offers the following:

• a non-threatening format that encourages the student to work in the text itself, but leaves the explanations and examples intact even if the exercise sets are removed.
• explanations of the "how" and "why" of developmental mathematics that are concise, readable, and contain many examples and solved problems.
• a good collection of application problems that use real-life data and situations from today's world.
• over 4150 problems contained in Set A and Set B exercises, pretests, reviews, practice tests, unit exams, and a final exam that have answers and selected solutions in the Answer Section.
• sections on conversions with mixed units and divisibility by primes have been added and the sections on reading whole numbers, reading measuring devices, statistical graphs, and the mean and median have been substantially revised.

Unit I Whole Numbers
1. Whole Numbers: Addition, Multiplication, Powers, and Square Roots
Blast From the Past - Whole Numbers
Pretest
Rounding Off Numbers
Multiplication Facts
Multiplying by One Digit Numbers
Multiplying by Numbers Having More Than One Digit
Handling Zeros in Multiplying Whole Numbers
Powers, Representing Numbers, Square Roots, Comparing Numbers
Applications Involving Whole Numbers
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Squares
2. Whole Numbers: Subtraction, Division, and the Order of Operations
Blast From the Past - Whole Numbers
Pretest
Subtraction Facts
Subtracting Whole Numbers
Division Facts
Remainders, Dividing by Zero
Dividing by One Digit Numbers
Dividing by Numbers Having More Than One Digit
Zeros in the Quotient
The Order of Operations
Primes, Divisibility, and Factor-Trees
More Applications Involving Whole Numbers
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Crosses
Unit I Exam

Unit II Fractions and Decimals
3. Fractions

Blast From the Past - Fractions
Pretest
What Are Fractions?
Equivalent Fractions
Mixed Numbers
Multiplying Fractions
Dividing Fractions
Multiplying and Dividing Mixed Numbers
Fractional Parts of Numbers
Finding the Least Common Denominator
Complex Fractions
Comparing Fractions
Applications Involving Fractions
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises

Math Magic: Magic Polygons
4. DecimalsBlast From the Past - Decimals
Pretest
Rounding Off Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Multiplying and Dividing Numbers That End in Zeros
Converting Fractions and Decimals
Comparing Decimals
Operating With Both Fractions and Decimals
Applications Involving Decimals
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Unit II Exam

Unit III Ratio, Percent, Measurement, and Statistics
5. Ratio, Proportion, and Percent Ratios
Blast From the Past - Percentages
Pretest
Ratios
Proportions
More on Solving Proportions
Applications Involving Proportions
Percents
Converting Decimals and Fractions to Percents
Percent of a Number
Percentage Problems
Applications Involving Percents
Applications Involving Simple Interest
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Wheels
6. Measurement and StatisticsReading Measuring Devices
The U.S. Customary System of Measurement
The Metric System
Conversions within the Metric System
Conversions between the Metric and U.S. Systems
U.S. and Metric Temperatures
Statistical Graphs
The Mean and Median
Applications Involving Statistics and Measurement
Summary
Math Magic: Magic Stars
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Unit III Exam

Unit IV Introductory Algebra and Geometry
7. Introductory Algebra
Blast From the Past - Algebra
Pretest
Variables and Formulas
Signed Numbers

Ronald Staszkow

Math Skills: Arithmetic with Introductory Algebra and Geometry has been written for students who need to acquire a better understanding of and facility with arithmetic and need an introduction to algebra and geometry.

The text has enough explanations, real-life examples, solved problems, exercises, tests, and review material to meet the needs of both individualized (lab based) and lecture formats.

The seventh edition also offers the following:

• a non-threatening format that encourages the student to work in the text itself, but leaves the explanations and examples intact even if the exercise sets are removed.
• explanations of the "how" and "why" of developmental mathematics that are concise, readable, and contain many examples and solved problems.
• a good collection of application problems that use real-life data and situations from today's world.
• over 4150 problems contained in Set A and Set B exercises, pretests, reviews, practice tests, unit exams, and a final exam that have answers and selected solutions in the Answer Section.
• sections on conversions with mixed units and divisibility by primes have been added and the sections on reading whole numbers, reading measuring devices, statistical graphs, and the mean and median have been substantially revised.

Unit I Whole Numbers
1. Whole Numbers: Addition, Multiplication, Powers, and Square Roots
Blast From the Past - Whole Numbers
Pretest
Rounding Off Numbers
Multiplication Facts
Multiplying by One Digit Numbers
Multiplying by Numbers Having More Than One Digit
Handling Zeros in Multiplying Whole Numbers
Powers, Representing Numbers, Square Roots, Comparing Numbers
Applications Involving Whole Numbers
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Squares
2. Whole Numbers: Subtraction, Division, and the Order of Operations
Blast From the Past - Whole Numbers
Pretest
Subtraction Facts
Subtracting Whole Numbers
Division Facts
Remainders, Dividing by Zero
Dividing by One Digit Numbers
Dividing by Numbers Having More Than One Digit
Zeros in the Quotient
The Order of Operations
Primes, Divisibility, and Factor-Trees
More Applications Involving Whole Numbers
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Crosses
Unit I Exam

Unit II Fractions and Decimals
3. Fractions

Blast From the Past - Fractions
Pretest
What Are Fractions?
Equivalent Fractions
Mixed Numbers
Multiplying Fractions
Dividing Fractions
Multiplying and Dividing Mixed Numbers
Fractional Parts of Numbers
Finding the Least Common Denominator
Complex Fractions
Comparing Fractions
Applications Involving Fractions
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises

Math Magic: Magic Polygons
4. DecimalsBlast From the Past - Decimals
Pretest
Rounding Off Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Multiplying and Dividing Numbers That End in Zeros
Converting Fractions and Decimals
Comparing Decimals
Operating With Both Fractions and Decimals
Applications Involving Decimals
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Unit II Exam

Unit III Ratio, Percent, Measurement, and Statistics
5. Ratio, Proportion, and Percent Ratios
Blast From the Past - Percentages
Pretest
Ratios
Proportions
More on Solving Proportions
Applications Involving Proportions
Percents
Converting Decimals and Fractions to Percents
Percent of a Number
Percentage Problems
Applications Involving Percents
Applications Involving Simple Interest
Summary
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Math Magic: Magic Wheels
6. Measurement and StatisticsReading Measuring Devices
The U.S. Customary System of Measurement
The Metric System
Conversions within the Metric System
Conversions between the Metric and U.S. Systems
U.S. and Metric Temperatures
Statistical Graphs
The Mean and Median
Applications Involving Statistics and Measurement
Summary
Math Magic: Magic Stars
Cross Number Review
Practice Test A
Practice Test B
Supplementary Exercises
Unit III Exam

Unit IV Introductory Algebra and Geometry
7. Introductory Algebra
Blast From the Past - Algebra
Pretest
Variables and Formulas
Signed Numbers