Ch 3: Systems of Numeration

About This Chapter

Review fun and engaging lessons from home or on-the-go to boost your knowledge of various systems of numeration. Mini quizzes and a practice exam can check your comprehension and improve your ability to excel on a test or earn course credit.

Systems of Numeration - Chapter Summary

Studying different systems of numeration is simple using this chapter's entertaining lessons. Whether you're looking for details about decimal place value, the binary number system or Roman numerals, this chapter can help! Explore the lessons at your own pace and feel free to revisit them often to ensure you understand these and other topics. If you develop questions while studying the lessons, don't hesitate to submit them to our experts. When ready, check your comprehension of these systems of numeration by taking short quizzes and a practice exam. By the end of this chapter, you should be able to:

  • Define and provide examples of place value
  • Describe a decimal place value and how to read decimals using place value
  • Share examples of expanded form in math
  • Discuss the basics of the base-10 system and base-two system
  • Explain the application and advantages of the binary number system
  • Provide the steps needed to write the number 10 in binary
  • Detail the process of converting numbers to Roman numerals

7 Lessons in Chapter 3: Systems of Numeration
Test your knowledge with a 30-question chapter practice test
What is Place Value? - Definition & Examples

1. What is Place Value? - Definition & Examples

Every digit in a number has a place value. In this lesson, through definition and example, we will learn what a place value is and how to find the place value of a specific digit. At the end of the lesson, you can continue practicing with a quiz.

What is a Decimal Place Value?

2. What is a Decimal Place Value?

In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.

What is Expanded Form in Math? - Definition & Examples

3. 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.

Number Systems and The Base-Ten System

4. 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.

Binary Number System: Application & Advantages

5. Binary Number System: Application & Advantages

All computers use a binary number system, that relies upon just two symbols, typically 0 and 1. In this lesson, you'll learn about the advantages of using the binary number system, as well as some of its practical applications.

What is 10 in Binary? - How-to & Steps

6. What is 10 in Binary? - How-to & Steps

The number ten in decimal form, 10, is way different than the number ten in binary form, 1010. Learn the steps you need to take for you to write the number ten in binary in this lesson.

What are Roman Numerals? - Number Conversion & Chart

7. What are Roman Numerals? - Number Conversion & Chart

In this lesson, learn what Roman numerals look like and the rules for converting any number to a Roman numeral. Also, find a handy reference chart you can use for your conversions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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