# Ch 10: ORELA Middle Grades Math: Integers

### About This Chapter

## ORELA Middle Grades Math: Integers - Chapter Summary

Use the lessons in this chapter to review the techniques for comparing, adding, subtracting and performing other mathematical operations using integers. The lessons in this NES prep chapter can prepare you to solve problems relating to:

- Absolute values
- Integer inequalities
- Comparing integers
- Adding integers
- Adding and subtracting equations with 1- and 2-digit integers
- Multiplying and dividing integers
- Simplifying expressions

The video lessons in this chapter are taught by experienced instructors using fun illustrations and examples. Each lesson also has a multiple-choice quiz and a transcript that highlights formulas and key terminology. A chapter test is also available to test your knowledge and help you determine when you're ready to move on to the next chapter.

### ORELA Middle Grades Math: Integers Objectives

The ORELA Middle Grades Math test is the subject-specific test for those who wish to teach math to middle school students in Oregon. The math exam is over four hours long and includes 150 questions that cover four main content areas: number sense and operations; algebra and functions; measurement and geometry; and statistics, probability and discrete mathematics.

Integers are one of several concepts covered within the number sense and operations content area; this content makes up approximately 17% of the test. The lessons in this chapter can prepare you solving problems that include integers, and the multiple-choice quizzes in each lesson allow you to practice on questions similar to those you'll see on the actual exam.

### 1. Absolute Value & Opposite Integers

After watching this video lesson, you'll understand what an absolute value is, and you'll also learn how to find the opposite of an integer. In addition, you'll learn how every pair of opposite integers will always add up to zero.

### 2. Integer Inequalities with Absolute Values

After watching this video lesson, you will know the ins and outs of solving inequalities involving absolute values. Learn how you will end up with two different answers.

### 3. How to Compare Integers

In this lesson, you'll learn how numbers or integers compare to others integers. In no time, you will be able to easily and quickly determine whether one number is smaller than, larger than, or equal to another.

### 4. Adding Positive & Negative Integers

After watching this video lesson, you will be able to add all kinds of integers together. This is a skill that will benefit you when playing games and when doing math tests. After watching the video, try some example problem on your own with our quiz.

### 5. Addition Equations with One-Digit Integers

After watching this video lesson, you will be able to solve equations where you need to find a missing number. Learn the steps you need to take to find a missing number and how subtraction can help you.

### 6. Addition Equations with Two-Digit Integers

Watch this video lesson to learn how to solve addition equations where you have two digit integers. Learn how subtraction is involved in finding your missing value.

### 7. Adding Three or More Integers

After watching this video lesson, you will be able to solve problems that ask you to add three or more integers together. Learn how you can break down the problem into steps that allow you to easily find the answer.

### 8. Subtraction Equations with One-Digit Integers

Watch this video lesson to learn how you can solve subtraction problems where you need to find a missing value. Learn what steps you need to take to easily solve these types of equations.

### 9. Subtraction Equations with Two-Digit Integers

After watching this video lesson, you will be able to solve the two types of subtraction equations that you will come across. Learn the steps required to solve each type.

### 10. Multiplying Integers: Rules & Examples

In this lesson, we will discuss what numbers are included in the integers and how to multiply them. We will deal with 1-, 2-, and 3-digit numbers as well as negatives and positives. There are some definitions included as well as a quiz at the end.

### 11. Dividing Integers: Rules & Terminology

In this lesson, we will learn how to divide integers or signed numbers. Determining the correct sign of the answer is a very simple but important step in these calculations. We will also learn the role of zero in division of integers.

### 12. How to Simplify Expressions with Integers

After watching this video lesson, you will be able to simplify any integer expression by following the order of operations. Learn what to watch for and in what order to do your operations.

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### Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

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