# Ch 15: WEST Middle Grades Math: Operations with Decimals

### About This Chapter

## WEST Middle Grades Math: Operations with Decimals - Chapter Summary

This chapter consists of online video lessons that focus on operations with decimals. Refresh your knowledge of decimals by solving math problems, tables and word problems. You'll also be given opportunities to complete examples. Exploring techniques for working with mixed numbers, inequalities and positive decimals could prepare you to take the WEST Middle Grades Math examination. Watch the video lessons in this chapter for help with:

- Solving inequalities with decimals
- Changing from decimals to mixed numbers
- Completing addition, subtraction, division and multiplication word problems
- Estimating with decimals
- Solving one- and two-operation problems with positive decimals
- Solving inequalities and expressions with decimals

When you watch these short, educational lessons, you can get an idea of the types of questions you'll encounter on the WEST Middle Grades Math examination. Decimals concepts are presented by experienced educators who answer your submitted questions. Study the accompanying written transcripts or use the video tags to re-watch parts of the video if necessary. Lesson quizzes and a practice chapter examination are included to test your retention of the above topics.

### WEST Middle Grades Math: Operations with Decimals - Chapter Objectives

The WEST Middle Grades Math examination is designed to assess your knowledge of fractions and other mathematics content as well as your competency to teach the subject. Passing the examination qualifies you for a mathematics teaching endorsement in Washington state. You'll answer 150 multiple-choice questions on the computer-based test. You should complete the examination in four hours and 15 minutes or less. Nineteen percent of the questions relate to mathematical processes and number sense, for which this chapter will help prepare you.

### 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. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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!

### 12. 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 WEST Middle Grades Mathematics (203): Practice & Study Guide course

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