# Ch 8: Advanced Arithmetic Key Concepts

### About This Chapter

## Advanced Arithmetic Key Concepts - Chapter Summary

In this chapter, our instructors explain some of the essential topics related to advanced arithmetic. You'll study the application and definition of percents, the roots and powers of numbers and the concept of descriptive statistics. Additional subjects covered include calculating a permutation, some example problems involving math combinations and the definition of independent events. This chapter is designed to help you:

- Use a formula to determine percent increase
- Detail the different types of frequency distributions
- Explain the symbol used for union of sets
- Describe the formula used for probability

Each one of our professionally designed lessons is followed by a multiple-choice quiz that works great as a test prep tool. Or, you can take the quiz to ensure you've understood the material before moving on to another lesson. If you need to go back and review just one portion of a video lesson, use the video tabs feature to easily move to the section you'd like to watch. Our instructors can offer their assistance if you find that you need help with the chapter.

### 1. 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.

### 2. Percent Increase: Definition & Formula

This lesson will examine how to find the percent increase between two values. It will look at finding the percent increase between both numbers and percentages.

### 3. Powers & Roots of Numbers

This lesson will go over the definitions of powers and roots of numbers. We will also look at some basic properties of each of these and how we can use these properties to work with and simplify these types of expressions.

### 4. What Is Descriptive Statistics? - Examples & Concept

Descriptive statistics are used to summarize data. Learn about the different kinds of descriptive statistics, the ways in which they differ from inferential statistics, how they are calculated, and more.

### 5. Frequency Distributions: Definition & Types

This lesson explores the process of creating frequency distributions and histograms to give readers of your future scientific articles a numerical or visual way to understand the data you have presented.

### 6. Union of Sets in Math: Definition, Terms & Symbol

In this lesson, learn about how you use sets and their unions in everyday life. Learn how to appropriately write them so that you can communicate with others about sets. Also, learn how easy they are to use.

### 7. 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.

### 8. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

### 9. Introduction to Probability: Formula & Examples

Ever taken a chance on something? Before you took that chance, did you want to know what your chances were on actually winning? Then you were dealing with probability, the likelihood that a specific event will occur.

### 10. Independent Events: Definition, Formula & Examples

This lesson will define independent events, give several scenarios in which they occur, provide the formula for finding the probability of these types of events, and explain how to use the formula.

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### Other Chapters

Other chapters within the GMAT Test: Online Prep and Review course

- GMAT: About the Test
- GMAT Analytical Writing Assessment Overview & Best Practices
- Writing Skills for Exam Takers
- GMAT Quantitative Section: About the Quantitative Section
- GMAT Integrated Reasoning: Types of Questions & Overview
- Problem Solving for Exam Takers
- Fundamentals of Arithmetic for the GMAT
- Mathematical Patterns
- Reviewing Basic Algebra Concepts
- Reviewing Basic Geometry Concepts
- Strategies for Solving Math Word Problems
- Numerical Ability: Reasoning & Data Interpretation
- Interpreting Data & Statistics
- Answering Data Sufficiency GMAT Questions
- GMAT Verbal Section
- Test-Taking Strategies for the GMAT
- Critical Reasoning for Test-Taking
- Sentence Correction Techniques
- English Usage Conventions in Writing
- GMAT Test Flashcards