# Ch 8: GACE Middle Grades Math: Integers

### About This Chapter

## GACE Middle Grades Math: Integers - Chapter Summary

Review using positive and negative whole numbers in solving various types of problems. Lessons in this chapter discuss the following topics:

- Describing when opposite quantities combine to make zero
- Solving problems of integer inequalities of absolute values
- Comparing integers
- Showing how to add positive and negative integers
- Adding and subtracting equations with one- and two-digit integers
- Defining rules for multiplying and dividing integers
- Simplifying expressions with integers

Each video lesson, less than 10 minutes long, offers a time-effective and meaningful way to study integers. Experienced instructors provide content-rich, example-filled lessons using engaging visuals. Fit your studying time in wherever you are by viewing the lessons on your mobile device.

### GACE Middle Grades Math: Integers - Chapter Objectives

The state of Georgia requires prospective teachers to demonstrate their knowledge of math for 4th through 8th grade students by taking the GACE Middle Grades Mathematics test. Questions about arithmetic and algebra, which includes integer problems, accounts for 65% of the test. Use these video lessons together with the chapter exam to help you correctly answer integer questions on the test.

The GACE Middle Grades Mathematics test consists of 45 selected-response questions. Selected response questions include answer formats such as clicking on the correct sentence, clicking on a part of a graphic and selecting an option from a drop down menu. You will have two hours to complete the test.

### 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 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: Rational Numbers
- 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