# Ch 15: 6th-8th Grade Math: Operations with Decimals

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### About This Chapter

## 6th-8th Grade Math: Operations with Decimals - Chapter Summary

The video lessons in this chapter offer instructor lectures, example problems and lesson quizzes that reinforce material covered by the instructors. Some of the mathematical operations that your student will learn in this chapter include converting decimals into fractions, and the addition, subtraction, multiplication and division of decimals. Additionally, students will go over estimating sums, differences and products with decimals and solving problems with multiple operations when working with decimals. When the chapter lessons are completed, students are given a chapter exam to measure what they learn.

## Chapter Lessons and Objectives

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

Inequalities with Decimals | Instructors teach students how to solve inequalities with decimals. |

Converting Decimals to Mixed Numbers | This lesson shows how to convert decimals to mixed numbers. |

Converting Repeating Decimals into Fractions | This lesson teaches students how to convert repeating decimals into fractions. |

Adding and Subtracting Decimals: Examples & Word Problems | Instructors show students how to solve addition and subtraction problems with decimals. |

Multiplying and Dividing Decimals: Examples & Word Problems | Instructors describe how to multiply and divide when working with decimals. |

How to Estimate with Decimals to Solve Math Problems | This lesson demonstrates how to estimate with decimals to come up with mathematical conclusions. |

Estimating Sums, Differences & Products of Decimals | This lesson shows how to estimate sums, differences, and products of decimals. |

Solving Problems using Decimal Numbers | Instructors show how to solve problems with decimals and fractions. |

Estimation: One & Two Operation Problems with Positive Decimals | This lesson demonstrates how to use estimation when solving problems with one or two operations. |

Guess and Check: One & Two Operation Problems with Positive Decimals | Instructors show students how to make tables and use them to determine the solution to one or two operations problems with decimals. |

Look for a Pattern: One & Two Operation Problems with Positive Decimals | This lesson teaches students how to look for patterns and use them to determine the solutions to one or two operations problems with decimals. |

Solving Multi-Step Inequalities with Decimals | This lesson examines how to solve multi-step inequalities with decimals. |

Maps with Decimal Distances | Instructors show students how to solve problems on maps that involve decimals. |

How to Simplify Expressions Involving Decimals | This lesson teaches students how to simplify expressions with decimals. |

### 1. Inequalities with Decimals

In this video lesson, we talk about solving inequalities with decimals. You will learn in what order to take your steps to solve these types of problems.

### 2. Converting Decimals to Mixed Numbers

After watching this video lesson, you should be able to convert easily between decimals and mixed numbers. Learn what kinds of decimals you can and cannot convert to a mixed number.

### 3. Converting Repeating Decimals into Fractions

After watching this video lesson, you will be able to convert any repeating decimal that you come across into a fraction. Learn how to write the two equations that are needed for the conversion.

### 4. Adding and Subtracting Decimals: Examples & Word Problems

In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.

### 5. Multiplying and Dividing Decimals: Examples & Word Problems

Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.

### 6. How to Estimate with Decimals to Solve Math Problems

Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.

### 7. Estimating Sums, Differences & Products of Decimals

After watching this video lesson, you will be able to estimate any decimal number to help you simplify your math problems. See how easy it is to estimate your answer when you are trying to find the sum, difference, or product.

### 8. Solving Problems Using Decimal Numbers

Problems involving decimal numbers might sound like a way to torture you, but learning how important these types of problems are in the real world is important. In this lesson, you will see a couple areas in life where you routinely encounter decimal number problems.

### 9. Estimation: One & Two Operation Problems with Positive Decimals

After watching this video lesson, you will learn how using estimation can help you simplify your problem so that you can solve it much easier. Learn how estimation can help even when you need to solve for a missing variable.

### 10. Guess and Check: One & Two Operation Problems with Positive Decimals

In this video lesson, you will learn how to use your guessing skills in finding the correct answer to a decimal problem. Learn how you can refine your guess to make an even better guess and get closer to finding your answer.

### 11. Look for a Pattern: One & Two Operation Problems with Positive Decimals

In this video lesson, you will learn how finding a pattern can help you solve one- and two-operation problems involving decimal numbers. Learn what it takes to find a pattern and then to use the pattern to find the answer.

### 12. Solving Multi-Step Inequalities with Decimals

In this video lesson, you will learn the steps that are involved in solving inequalities for an unknown variable. We'll see that the order of operations stays the same, but there's a very significant difference when it comes to negative numbers!

### 13. Maps with Decimal Distances

After watching this video lesson, you will know how to solve problems involving decimal numbers and reading maps. You will be able to find missing distances as well as how to find the total distance.

### 14. How to Simplify Expressions Involving Decimals

After watching this video lesson, you should be able to take any expression involving decimals and simplify it. You'll learn what to look for and what things you can combine.

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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: Integers
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to 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