# Math Skills: Arithmetic with Introductory Algebra and Geometry

**Author(s):**
Ronald
Staszkow

**Edition:
**
7

**Copyright:
**
2008

** 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

Reading Whole Numbers

Rounding Off Numbers

Addition Facts

Adding Whole 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

Adding and Subtracting Like Fractions|

Adding and Subtracting Unlike Fractions

Finding the Least Common Denominator

Adding and Subtracting Mixed Numbers

Complex Fractions

Comparing Fractions

Applications Involving Fractions

Summary

Cross Number Review

Practice Test A

Practice Test B

Supplementary Exercises

Math Magic: Magic Polygons

**4. Decimals**Blast From the Past - Decimals

Pretest

Reading and Writing Decimals

Rounding Off Decimals

Adding Decimals

Subtracting Decimals

Multiplying Decimals

Dividing Decimals

Dividing Decimals¿Rounding Off Answers

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 Statistics**Reading 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

Add

** 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

Reading Whole Numbers

Rounding Off Numbers

Addition Facts

Adding Whole 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

Adding and Subtracting Like Fractions|

Adding and Subtracting Unlike Fractions

Finding the Least Common Denominator

Adding and Subtracting Mixed Numbers

Complex Fractions

Comparing Fractions

Applications Involving Fractions

Summary

Cross Number Review

Practice Test A

Practice Test B

Supplementary Exercises

Math Magic: Magic Polygons

**4. Decimals**Blast From the Past - Decimals

Pretest

Reading and Writing Decimals

Rounding Off Decimals

Adding Decimals

Subtracting Decimals

Multiplying Decimals

Dividing Decimals

Dividing Decimals¿Rounding Off Answers

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 Statistics**Reading 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

Add