# Ch 9: GACE Middle Grades Math: Rational Numbers

### About This Chapter

## GACE Middle Grades Math: Rational Numbers - Chapter Summary

Delve into the study of mathematics and find out more about rational numbers and their applications. After completing this chapter, you should be more prepared to answer questions on the GACE Middle Grades Math assessment about the following key areas:

- Ordering and comparing rational numbers
- Subtracting and adding rational numbers
- Absolute values of rational numbers
- Graphing rational numbers
- Dividing and multiplying rational numbers

To get the best benefit out of the materials in this chapter, start off by watching the short and entertaining video lessons. You can then read through each lesson's written transcript, or you can skim through it for key topics. Our instructors are available if you need further clarification. After you complete each lesson, check to see if you are retaining the information by taking the available quizzes. To prepare for the GACE Middle Grades Math assessment, you can always take the chapter exam to see how well you understand rational numbers.

### GACE Middle Grades Math: Rational Numbers Objectives

The objective of the GACE Middle Grades Math assessment is to evaluate whether math teachers in Georgia possess sufficient knowledge of mathematics in relationship to the state's educational standards. Teachers are evaluated based on their ability to answer 45 selected-response questions. All tests are graded on a scale. About 65% of the test focuses on questions related to arithmetic and algebra, and the subject of rational numbers falls within these major topics. Thus, by using our study materials to learn more about rational numbers, you are giving yourself a better chance of doing well on this assessment.

### 1. What are Rational Numbers? - Definition & Examples

In this lesson, we will learn about rational numbers and their characteristics. We'll discover what they are, what they aren't and how to distinguish them from other types of numbers.

### 2. Comparing & Ordering Rational Numbers

After watching this video lesson, you will be able to look at any rational number and compare it with any other rational number. Learn what you need to do so that you know which number is greater or lesser than another.

### 3. Graphing Rational Numbers on a Number Line

Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.

### 4. Finding the Absolute Value of a Rational Number

Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems. Learn the order in which you should do calculations so that your answers are correct.

### 5. Adding & Subtracting Rational Numbers

After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.

### 6. Multiplying & Dividing Rational Numbers

After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.

### 7. Notation for Rational Numbers, Fractions & Decimals

How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.

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### Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

- GACE Middle Grades Math: Basic Arithmetic Operations
- GACE Middle Grades Math: Solving Math Word Problems
- GACE Middle Grades Math: Properties of Numbers
- GACE Middle Grades Math: Roots & Radical Expressions
- GACE Middle Grades Math: Exponents & Exponential Expressions
- GACE Middle Grades Math: Scientific Notation
- GACE Middle Grades Math: Simplifying Expressions
- GACE Middle Grades Math: Integers
- GACE Middle Grades Math: Introduction to Fractions
- GACE Middle Grades Math: Operations with Fractions
- GACE Middle Grades Math: Introduction to Decimals
- GACE Middle Grades Math: Operations with Decimals
- GACE Middle Grades Math: Percents
- GACE Middle Grades Math: Rates, Ratios & Proportions
- GACE Middle Grades Math: Number Theory
- GACE Middle Grades Math: Factoring
- GACE Middle Grades Math: Estimating & Rounding
- GACE Middle Grades Math: Monomials & Polynomials
- GACE Middle Grades Math: Writing Algebraic Expressions
- GACE Middle Grades Math: Basic Algebraic Expressions
- GACE Middle Grades Math: Algebraic Distribution
- GACE Middle Grades Math: One-Step Equations
- GACE Middle Grades Math: Two-Step Equations
- GACE Middle Grades Math: Rational Expressions
- GACE Middle Grades Math: The Coordinate Graph
- GACE Middle Grades Math: Linear Equations
- GACE Middle Grades Math: Systems of Linear Equations
- GACE Middle Grades Math: Negative Numbers
- GACE Middle Grades Math: Absolute Value
- GACE Middle Grades Math: Inequalities
- GACE Middle Grades Math: Number Patterns & Sequences
- GACE Middle Grades Math: Properties of Functions
- GACE Middle Grades Math: Graphing Functions
- GACE Middle Grades Math: Perimeter & Area
- GACE Middle Grades Math: Polyhedrons & Geometric Solids
- GACE Middle Grades Math: Symmetry, Similarity & Congruence
- GACE Middle Grades Math: Properties of Lines
- GACE Middle Grades Math: Angles
- GACE Middle Grades Math: Triangles
- GACE Middle Grades Math: Triangle Theorems & Proofs
- GACE Middle Grades Math: Similar Polygons
- GACE Middle Grades Math: The Pythagorean Theorem
- GACE Middle Grades Math: Quadrilaterals
- GACE Middle Grades Math: Circles
- GACE Middle Grades Math: Circular Arcs & Measurement
- GACE Middle Grades Math: Transformations
- GACE Middle Grades Math: Measurement
- GACE Middle Grades Math: Data & Graphs
- GACE Middle Grades Math: Sets
- GACE Middle Grades Math: Statistics
- GACE Middle Grades Math: Data Collection
- GACE Middle Grades Math: Samples & Populations
- GACE Middle Grades Math: Probability
- GACE Middle Grades Mathematics Flashcards