About This Chapter
Place Values, Ordering Fractions & Decimals - Chapter Summary
You see numbers all around you everyday. But, do you understand what each of the digits in a large number represents and how it helps to determine the value of the number? How about fractions and decimals - how do you know which ones are larger? In this chapter, our instructors explain the concept of place values and teach you how to compare fractions and decimals. By the end of the chapter, you will be:
- Determining place values in whole numbers and decimals
- Writing numbers in expanded form
- Comparing and ordering fractions and decimals
- Identifying equivalent decimals and fractions
In these short, engaging lessons, our experienced instructors will cover all you need to know and provide you with plenty of examples. Written transcripts of each lesson make for quick look-ups and review. Work at your own pace; pause as you learn and repeat as many topics as you like. If you still have questions along the way, send a message to one of our subject-matter experts. And, to ensure you are mastering the concepts, take the short self-assessment quiz included with each lesson. They are a great way to practice what you are learning.
1. 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.
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.
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.
4. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
5. Comparing and Ordering Decimals
In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.
6. What Are Equivalent Decimals? - Definition & Examples
Equivalent decimals may look different, but in reality they are just a fancy way of naming the same amount! In this lesson, you will explore equivalent decimals and learn easy tricks to help you master the tools needed to identify and write these equal forms.
7. What are Equivalent Fractions? - Definition & Examples
In this lesson, you'll review some fraction terminology and then learn what equivalent fractions are. Afterward, you can test your new knowledge with a brief quiz.
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