# Ch 1: Math Foundations

### About This Chapter

## Math Foundations

Math is a subject where you build your skills. You start out with the simple process of identifying numbers. You then move into addition and subtraction. Slowly, you build upon these foundation skills. Once you master foundation skills, you are able to put them to use in solving more complex problems.

Foundation skills are not just learned in elementary school, though. As you advance in mathematics, there are occasions when you will add to those foundation skills.

We offer lessons on math foundations that will introduce you to different types of numbers. You'll learn more about natural and whole numbers, take a look at integers and real numbers, and also, learn about rational and irrational numbers.

We will also help you to understand factorization. Learn how to find the prime factorization of a number and become familiar with terms that include greatest common factor and least common multiple.

Our lessons will also cover graphing. Start out learning the very basics of graphing and then move into learning about the different parts of a graph. Familiarize yourself with vocabulary that includes quadrants, axis, ordered pair, origin and intercepts. Also, learn about using the midpoint and distance formulas.

We hope you find our video lessons to be thoughtful, engaging, and accessible. Each lesson is taught by an expert on the subject and put together by a professional video editor. Thanks for watching!

### 1. What are the Different Types of Numbers?

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

### 2. 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.

### 3. 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!

### 4. 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!

### 5. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 6. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

### 7. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

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### Other Chapters

Other chapters within the Math 102: College Mathematics course

- Linear Equations
- Solving and Graphing Inequalities
- Graphing and Factoring Quadratic Equations
- Complex and Imaginary Numbers
- Properties of Exponents
- Properties of Polynomials
- Simplifying and Solving Rational Expressions
- Properties of Functions
- Logarithms and Exponential Equations
- Logic
- Sets
- Probability and Statistics
- Geometry
- Studying for Math 102