# Ch 26: Math - Numbers and Operations: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering material for the SAT will benefit from taking this course. There is no faster or easier way to prepare for the SAT. Among those who would benefit are:

- Students who have fallen behind in understanding how to solve word problems and perform essential math operations
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about numbers and operations
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the 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 numbers and operations chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any question about numbers and operations. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a numbers and operations unit of a standard SAT prep course. Topics covered include:

- Solving word problems
- Solving math problems with number lines
- Adding and subtracting unlike fractions
- Multiplying mixed numbers
- Dividing fractions
- Making calculations with ratios and proportions
- Using radicands and radical expressions
- Simplifying square roots of quotients
- Using decimals
- Finding the prime factorization of a number
- Solving problems using percents
- Understanding math sequences
- Calculating an arithmetic series
- Using logic

### 1. How to Divide Complex Numbers

While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.

### 2. How to Add, Subtract and Multiply Complex Numbers

Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!

### 3. Solve Problems Using Percents

Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.

### 4. Percents: Definition, Application & Examples

Maybe you know that 95% is an A and 75% is a C. But what do those percents really mean? In this lesson, we'll learn about percents, including how to convert them to fractions and decimals.

### 5. 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!

### 6. 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.

### 7. 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!

### 8. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

### 9. Solving Radical Equations: Steps and Examples

Solving radical equations is not any more difficult than solving other algebraic equations. This lesson will show you how to solve equations containing a square root and give some real-world examples.

### 10. Simplify Square Roots of Quotients

The quotient rule can be used to simplify square roots of quotients. This lesson will define the quotient rule and show you how it is used to simplify square roots.

### 11. Simplifying Square Roots of Powers in Radical Expressions

Simplifying radical expressions that contain powers can be tricky. There are a few simple rules that will help you perform these simplifications with ease. This lesson will teach you how.

### 12. Roots and Powers of Algebraic Expressions

In this lesson, you'll learn about some common mistakes that students make when working with roots and powers of algebraic expressions on the SAT and how to make sure you don't fall into the same trap.

### 13. Radicands and Radical Expressions

It's easy to see that funky radical symbol and panic just a little bit. There are so many rules that go along with it, it's hard to keep up with them all. This lesson will help by describing what you should do when you are faced with a square root.

### 14. What is PEMDAS? - Definition, Rule & Examples

This lesson will discuss an important acronym for the order of operations in mathematics. Without these guidelines given in PEMDAS, the accurate and objective nature of mathematical calculation could not exist.

### 15. What Are Compatible Numbers? - Definition & Examples

This lesson provides the definition and illustrates examples of compatible numbers, as well as giving explanations of what makes them compatible. The examples are taken from real-life situations using money and covering all four mathematical operations: addition, subtraction, multiplication, and division.

### 16. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

### 17. What Are Relatively Prime Numbers? - Examples & Calculations

This lesson will examine relatively prime numbers, including the definition of them and how to determine if two numbers are relatively prime. It will also cover the greatest common factor and least common multiple of relatively prime numbers.

### 18. What are Roman Numerals? - Number Conversion & Chart

In this lesson, learn what Roman numerals look like and the rules for converting any number to a Roman numeral. Also, find a handy reference chart you can use for your conversions.

### 19. What Are Triangular Numbers? - Definition, Formula & Examples

Triangular numbers are used to describe the pattern of dots that form larger and larger triangles. This lesson will explore the rule behind this pattern and how it can be applied to find any term in the sequence.

### 20. What is Value in Math? - Definition & Explanation

In this lesson, you will learn what value is in math. We will look at common instances of the use of value in math, as well as examples so you will gain a better understanding of this concept. At the end, you can test your knowledge with a quiz.

### 21. Zero Product Property: Definition & Examples

After completing this lesson, you will be able to state the Zero Product Property and apply it to real numbers and algebraic expressions. You will also be able to solve equations using the Zero Product Property.

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### Other Chapters

Other chapters within the SAT Prep: Help and Review course

- SAT - About the Test: Help and Review
- SAT Test Prep: General Info
- Writing - About the Writing Section: Help and Review
- Writing - Text & Argument Analysis: Help and Review
- Writing - Word Choice & Expression: Help and Review
- Writing - Standard English Grammar: Help and Review
- Writing - Writing & Language Test Practice: Help and Review
- Writing - The Essay Portion: Help and Review
- Writing - Planning & Writing An Essay: Help and Review
- Writing - Parts of an Essay: Help and Review
- Writing - Sentence Clarity and Structure: Help and Review
- Writing - Essay Writing Skills: Help and Review
- Writing - How to Write an Argument: Help and Review
- Writing - Supporting Your Writing: Help and Review
- Writing - Revising Your Writing: Help and Review
- Writing - Grammar and Usage: Help and Review
- Reading - About the Reading Section: Help and Review
- Reading - Sentence Completions: Help and Review
- Reading - Reading Passages: Help and Review
- Reading - Understanding Reading Passages: Help and Review
- Reading - Interpreting & Analyzing Text: Help and Review
- Reading - Mastering Reading Passages: Help and Review
- Reading - Literary Terms: Help and Review
- Reading - US Documents & Speeches: Help and Review
- Math - About the Math Section: Help and Review
- Math - Exponents: Help and Review
- Math - Equations and Expressions: Help and Review
- Math - Rational Equations & Expressions: Help and Review
- Math - Inequalities: Help and Review
- Math - Functions: Help and Review
- Math - Quadratic Equations: Help and Review
- Math - Ratios, Rates & Proportional Relationships: Help and Review
- Math - Unit Rate & Measurement Conversions: Help and Review
- Math - Geometry and Measurement: Help and Review
- Math - Triangles & Trigonometric Ratios: Help and Review
- Math - Data Analysis, Statistics & Probability: Help and Review
- SAT Vocabulary Practice