# Ch 15: GRE Quantitative Reasoning: Numbers and Operations

### About This Chapter

## GRE Quantitative Reasoning: Numbers and Operations - Chapter Summary

Polish your numbers and operations skills with our GRE practice lessons. These videos explain fundamental mathematical principles that appear on the quantitative reasoning portion of the GRE. Areas covered in these lessons include:

- Whole numbers
- Fractions
- Absolute value
- Radicals
- Decimals
- Percents
- Multiples
- Ratios

The instructional videos in this chapter teach about numbers-based quantitative operations. In addition, they contain quizzes that allow you to assess your understanding of the lessons' content. Discrete concepts are presented in brief, individual videos to help you understand these mathematical basics and succeed on the GRE.

### GRE Quantitative Reasoning Objectives

The GRE, administered to students to evaluate their readiness for business or graduate school, encompasses a quantitative reasoning section that accounts for a little over 30% of the total exam. Our video lessons on numbers and operations discuss topics you'll encounter on this portion of the GRE. Videos address such concepts as:

- Identifying and understanding types of numbers
- Performing basic equations with whole numbers
- Utilizing radicals
- Working with decimals and scientific notation
- Understanding absolute value
- Answering word problems
- Establishing the least common multiple in a set of numbers
- Determining the greatest common factor in a number pair

In the GRE's quantitative reasoning segment, you will be asked to solve problems in areas including basic arithmetic and algebra. Questions appear in both multiple-choice and open-ended formats. This means you may be asked to choose one or more correct options from a number of provided answers or discern a numeric answer and enter it into a response box.

### 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. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

### 3. Solving Word Problems: Steps & Examples

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

### 4. 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!

### 5. 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!

### 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 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!

### 8. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 9. 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.

### 10. Percentage Increase and Decrease: Calculation and Examples

After watching this video lesson, you will be able to calculate the percentage increase and decrease of changes that happen over time. You will also learn what you need in order to make your calculations.

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### Other Chapters

Other chapters within the GRE Test: Practice & Study Guide course

- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Functions
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Inequalities
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Plane Geometry
- GRE Quantitative Reasoning: Coordinate Geometry
- GRE Quantitative Reasoning: Probability and Statistics
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards