About This Chapter
Rational Number Operations & Properties - Chapter Summary
The lessons in this chapter will help you understand rational numbers in adding and subtracting operations, steps and examples for solving word problems, and what we mean by remainder in math along with examples.
You will discover raising and reduction of fractions, and the associative, distributive and commutative properties of numbers. More is covered in these lessons, such as:
- Use of rational numbers in multiplying and dividing
- Increase understanding by personalizing a word problem
- Definition and examples of inverse operation in math
- Defining the unit fraction and some examples
- Ordering and comparing fractions
- The order of operations and exponential expressions
These are short text and video lessons that accommodate use of mobile devices for logging in and spending a short amount of time while still making progress on this study program. An accompanying lesson quiz can be used as often as you like to assess your comprehension of the lesson material. Track your progress towards chapter completion on your dashboard.
1. Adding & Subtracting Rational Numbers
After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.
2. Multiplying & Dividing Rational Numbers
After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.
3. Solving Word Problems: Steps & Examples
Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.
4. Personalizing a Word Problem to Increase Understanding
When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.
5. Inverse Operations in Math: Definition & Examples
In mathematics, inverse operations are operations that 'undo' each other. Most operations have an inverse. This lesson describes the most common operations and their inverses, and it provides some examples and a quiz to cement your knowledge.
6. Remainder in Math: Definition & Example
Division problems often result in remainders. In this lesson, we will define the remainder and use long division of numbers and synthetic division of polynomials to compute remainders.
7. How to Raise and Reduce Fractions
When working with fractions, you sometimes need to change your fraction to make it easier to work with. Watch this video lesson to learn how you can raise and reduce fractions to make your problem solving easier.
8. What is a Unit Fraction? - Definition & Examples
In this lesson, we'll define unit fractions. We'll use definitions and examples to illustrate how these types of fractions are parts of the number 1 and how they can be used to make up other fractions.
9. 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.
10. Exponential Expressions & The Order of Operations
When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.
11. Number Properties: Commutative, Associative & Distributive
We often find ourselves using real number properties when working on math problems. These properties come in a variety of forms, but in this lesson we'll focus on learning about the commutative, associative, and distributive properties.
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