# Ch 11: 6th-8th Grade Math: Integers

### About This Chapter

## Integers - Chapter Summary

This integers chapter covers the rules for multiplying, adding and dividing whole numbers. Through the chapter's video lessons, your elementary and middle school students will learn to complete addition equations as well as how to simplify expressions. Make certain they understand the material by giving the brief multiple-choice quizzes that are included.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

Finding the Absolute Value of a Real Number | Students learn how to distinguish between real numbers and imaginary numbers. |

Absolute Value and Opposite Integers | Instructors teach 6th - 8th graders how to work with opposite integers and absolute values. |

Integer Inequalities with Absolute Values | Students complete examples of integer inequalities. |

How to Compare Integers | Instructors demonstrate how to compare integers that are less than, equal to, or greater than other integers. |

Adding Positive and Negative Integers | Students have opportunities to provide examples of adding positive and negative integers. |

Addition Equations with One-Digit Integers | To perform these equations, students will review the subtraction property of equality. |

Addition Equations with Two-Digit Integers | Students complete examples of solving these addition equations by applying what they learned in the previous lesson. |

Adding Three or More Integers | Teachers explain how students can organize numbers in columns to more easily add multiple integers. |

Subtraction Equations with One-Digit Integers | Middle and elementary school students discover the rules for subtracting these equations. |

Subtraction Equations with Two-Digit Integers | Instructors teach techniques for subtracting integers with two digits. |

Multiplying Integers: Rules, Examples and Quiz | Students discover the rules for multiplying whole numbers. |

Dividing Integers: Rules, Lesson and Quiz | Teachers provide an explanation of the division process. |

How to Simplify Expressions with Integers | Students complete examples that involve the use of integers in the simplifying of expressions. |

### 1. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. 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.

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### Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Divisibility
- 6th-8th Grade Math: Properties of Numbers
- 6th-8th Grade Math: Number Theory
- 6th-8th Grade Math: Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 6th-8th Grade Math: Simplifying Whole Number Expressions
- 6th-8th Grade Math: Negative Numbers
- 6th-8th Grade Math: Absolute Value
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Percents
- 6th-8th Grade Math: Exponents & Exponential Expressions
- 6th-8th Grade Math: Roots & Radical Expressions
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- 6th-8th Grade Algebra: Basic Algebraic Expressions
- 6th-8th Grade Algebra: Algebraic Distribution
- 6th-8th Grade Algebra: Writing & Solving One-Step Equations
- 6th-8th Grade Algebra: Writing & Solving Two-Step Equations
- 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions
- 6th-8th Grade Math: The Coordinate Graph
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- 6th-8th Grade Math: Solving Math Word Problems
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Introduction to Geometric Figures
- 6th-8th Grade Geometry: Angles
- 6th-8th Grade Measurement: Units of Measurement
- 6th-8th Grade Geometry: Triangles
- 6th-8th Grade Geometry: Quadrilaterals
- 6th-8th Grade Geometry: Circles
- 6th-8th Grade Geometry: Circular Arcs & Measurement
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- 6th-8th Grade Geometry: Symmetry, Similarity & Congruence
- 6th-8th Grade Geometry: Transformations
- 6th-8th Grade Geometry: Triangle Theorems & Proofs
- 6th-8th Grade Geometry: Similar Polygons
- 6th-8th Grade Geometry: The Pythagorean Theorem
- 6th-8th Grade Math: Data & Graphs
- 6th-8th Grade Math: Probability
- 6th-8th Grade Math: Statistics
- 6th-8th Grade Math: Rates, Ratios & Proportions
- 6th-8th Grade Math: Money
- 6th-8th Grade Math: Consumer Math
- 6th-8th Grade Math: Number Sequences
- 6th-8th Grade Math: Sets
- 6th-8th Grade Algebra: Monomials & Polynomials