About This Chapter
Number Sense & Theory - Chapter Summary
These lessons will detail information about number sense and theory. The video lessons are engaging and make learning math fun. In this chapter, you will review:
- Significance of the commutative property
- Three basic number properties
- Use of the distributive property
- Rules of using the number zero
- Conversion to scientific notation
- Difference between prime and composite numbers
- Two ways to find the prime factorization
- How to break down numbers
- Ways to find the greatest common factor
- How to find the least common multiple
- Prime factorization shortcuts
We designed this chapter with numerous resources that can benefit you with your studies. The lessons are short but engaging. When you are ready, there are quizzes that will test you on how much you have learned in the lessons. We also have a chapter test at the end. This gives you the chance to test how much you have learned throughout the chapter before moving forward.
1. The Commutative Property: Definition and Examples
There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.
2. The Associative Property: Definition and Examples
There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.
3. Distributive Property: Definition, Use & Examples
After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.
4. The Multiplication Property of Zero: Definition & Examples
The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.
5. 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.
6. 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.
7. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
8. Finding the Prime Factorization with Exponents
After watching this video lesson, you will be able to factor any number using just prime numbers and exponents. Learn how to break apart any number you are given. Then, test your new knowledge with some examples.
9. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
10. How to Find the Least Common Multiple
The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!
11. Using Prime Factorizations to Find the Least Common Multiples
Finding the least common multiple can seem like a lot of work. But we can use prime factorization as a shortcut. Find out how and practice finding least common multiples in this lesson.
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