Ch 1: Number Systems & Representations

About This Chapter

Boost your confidence before you take an important exam by studying number systems and representations with help from this engaging chapter. This mobile-friendly resource is made up of short video lessons and self-assessment quizzes you can access at any time.

Number Systems & Representations - Chapter Summary

In this chapter, our professional instructors outline number systems and representations. Watch videos on the base-ten system, finding place values and many more related topics at your own pace. After completing these lessons, you should be prepared to achieve these objectives:

  • Define real numbers and their properties
  • Convert and calculate decimals, percentages and fractions
  • Provide a definition and examples of roots and exponents
  • Explain expanded form in math
  • Convert numbers to scientific notation
  • Understand what a rational number is
  • Represent numbers and operations using models

We've taken the stress out of preparing for an upcoming exam by making this chapter self-paced and easy to understand. Along with each lesson, we've added a self-assessment quiz that tests your knowledge of the lesson. Each one of our videos contains a handy timeline so you can quickly review specific portions over again as needed.

9 Lessons in Chapter 1: Number Systems & Representations
Test your knowledge with a 30-question chapter practice test
Number Systems and The Base-Ten System

1. Number Systems and The Base-Ten System

Ever think that a computer doesn't get what you want it to do? Don't be surprised; it is living in a world where it can only count to 1. This lesson explains number systems, including our base-ten system and a computer's base-two system.

Finding Place Values in Whole Numbers

2. Finding Place Values in Whole Numbers

After watching this video lesson, you will be able to find the location of any place value that you are given. You will also be able to identify them in any whole number.

What are Real Numbers? - Definition & Properties

3. What are Real Numbers? - Definition & Properties

There are many definitions of real numbers, but they all lead to the same conclusion. Real numbers are numbers that have a measurable value. Learn more about real numbers with some examples and a quiz to test your knowledge.

Calculating & Converting Percentages, Fractions & Decimals

4. Calculating & Converting Percentages, Fractions & Decimals

After watching this video lesson, you will be able to convert between percentages, fractions, and decimals easily and quickly. Learn the steps you need to take for each type of conversion.

Exponents & Roots: Definition & Examples

5. Exponents & Roots: Definition & Examples

Exponents and roots are used to make numbers much larger or much smaller. In this lesson, we'll learn how to work with exponents and roots. We'll practice a variety of problems involving both, including examples involving negative numbers.

What is Expanded Form in Math? - Definition & Examples

6. What is Expanded Form in Math? - Definition & Examples

In this lesson, we'll review place value and find out how it's useful when writing numbers in expanded form. We'll also look at a few examples of numbers written out in expanded form.

Converting Numbers to Scientific Notation

7. 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.

What are Rational Numbers? - Definition & Examples

8. 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.

Using Models to Represent Numbers & Operations

9. Using Models to Represent Numbers & Operations

In math, models or pictures can be used to represent numbers and operations like addition and subtraction. In this lesson, we'll look at three types of models used to solve problems in math.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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