About This Chapter
Number Systems & Theory - Chapter Summary
Enjoy this well-rounded overview of number systems and theory, designed to strengthen your grasp of composite numbers, rational exponents, scientific notation and more. Bite-sized lessons provide thorough definitions and examples to improve your understanding of these concepts. Review the lessons anytime using any computer or mobile device with an Internet connection. Take short quizzes and a practice exam to assess your knowledge. Utilizing these learning and study tools will enable you to do the following:
- Define composite numbers
- Identify prime and composite numbers
- Share definitions and examples of twin prime, rational and irrational numbers
- Find the absolute value of a real number
- Exhibit knowledge of rational exponents
- Provide examples of and convert numbers to scientific notation
- Compare numbers written in scientific notation
1. What Are Composite Numbers? - Definition & Examples
In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.
2. Identifying Prime & Composite Numbers
In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.
3. What Are Twin Prime Numbers?
There are all kinds of numbers: even, odd, positive, negative, and prime numbers, just to name a few. Did you know that there are even twin prime numbers? In this lesson, you'll learn what twin prime numbers are and some interesting facts about them.
4. What are Rational Numbers? - Definition & Examples
In this lesson, we will learn about rational numbers and their characteristics. We'll discover what they are, what they aren't and how to distinguish them from other types of numbers.
5. What are Irrational Numbers? - Definition & Examples
Irrational numbers may not be crazy, but they do sometimes bend our minds a little. Learn about common irrational numbers, like the square root of 2 and pi, as well as a few others that businessmen, artists, and scientists find useful.
6. Finding the Absolute Value of a Real Number
You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.
7. Rational Exponents
In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.
8. Scientific Notation: Definition and Examples
Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.
9. Converting Numbers to Scientific Notation
After watching this video lesson, you will be able to convert any number you come across into scientific notation. You will also learn why scientific notation is used and where you are most likely to see it.
10. Comparing Numbers Written in Scientific Notation
After watching this video lesson, you will be able to compare numbers written in scientific notation with each other. You will learn how to tell which is larger and which is smaller.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the 8th Grade Math course
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability
- Measuring & Graphing Statistical Distributions