# Ch 11: PSAT Math - Numbers and Operations: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering PSAT preparation material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn higher scores. You're in the right place if you:

- Have fallen behind in understanding numbers and operations
- Need an efficient way to learn about numbers and operations
- Learn best with engaging auditory and visual tools
- Struggle with learning disabilities or learning differences, including autism and ADHD
- Experience difficulty understanding your teachers
- Missed class time and need to catch up
- Can't access extra PSAT review resources at school

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the PSAT Math - Numbers and Operations chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the PSAT Math - Numbers and Operations chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any numbers or operations question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answer to questions including:

- How do I find the greatest common factor?
- What is a mathematical sequence?
- How do I calculate a permutation?
- What is an absolute value?

### 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 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!

### 3. 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.

### 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. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

### 6. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

### 7. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

### 8. Critical Thinking and Logic in Mathematics

Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.

### 9. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

### 10. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

### 11. How to Calculate an Arithmetic Series

In this lesson, you'll learn how to sum up any arithmetic sequence without having to add up each and every term. You'll never guess the circumstances that led to the discovery of this marvelous formula.

### 12. What are Irrational Numbers? - Definition & Examples

Irrational numbers may not be crazy, but they do sometimes bend our minds a little. Learn about common irrational numbers, like the square root of 2 and pi, as well as a few others that businessmen, artists, and scientists find useful.

### 13. What is Subtraction in Math? - Definition, Methods & Examples

In this lesson, we will learn about subtraction, which is the opposite of addition. We'll learn ways to picture simple subtraction problems, how to calculate the problems that are not so simple, and how to recognize subtraction in everyday situations.

### 14. What is the Multiplication Rule for Limits? - Definition & Concept

If we know the limit of two functions at the same particular value, what does that tell us about the limit at that same value of the product of the two functions? Let's look at the Multiplication Rule for limits.

### 15. How to Write a Numerical Expression? - Definition & Examples

In this lesson, you will be given the definition of a numerical expression and learn how to write one. You will be provided with plenty of examples to clearly illustrate this important mathematical concept.

### 16. 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.

### 17. Inverse Property: Definition & Examples

In this lesson, you will learn the definition of inverse property as it applies to different types of numbers. You will also look at examples that show you how to find the additive inverse and multiplicative inverse of a number.

### 18. Like Terms in Math: Definition & Examples

In this lesson, you will learn how to distinguish between like and unlike terms as well as how to combine like terms in order to simplify an expression.

### 19. Numerator: Definition & Concept

Numerator is the term used to describe the top part of a fraction. In this lesson, you will learn more about what the numerator represents and a bit about its history. Then, take a quiz to test your knowledge.

### 20. Positive Numbers: Definition & Examples

Numbers can be categorized a variety of ways. In this lesson, learn about positive numbers. Find out how to determine if a number is positive using some simple guidelines.

### Earning College Credit

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### Other Chapters

Other chapters within the PSAT Prep: Help and Review course

- PSAT Prep - About the Test: Help and Review
- PSAT Prep: General Info
- PSAT Writing - About the Writing Section: Help and Review
- PSAT Writing - Grammar and Usage: Help and Review
- PSAT Reading - About the Reading Section: Help and Review
- PSAT Reading - Sentence Completions: Help and Review
- PSAT Reading - Reading Passages: Help and Review
- PSAT Reading - Understanding Reading Passages: Help and Review
- PSAT Reading - Literary Terms: Help and Review
- PSAT Math - About the Math Section: Help and Review
- PSAT Math - Equations and Expressions: Help and Review
- PSAT Math - Exponents: Help and Review
- PSAT Math - Rational Equations and Expressions: Help and Review
- PSAT Math - Inequalities: Help and Review
- PSAT Math - Functions: Help and Review
- PSAT Math - Geometry and Measurement: Help and Review
- PSAT Math - Data Analysis, Statistics and Probability: Help and Review