Ch 17: MTEL Mathematics (Elementary): Operations with Decimals

About This Chapter

In this chapter is the comprehensive overview of operations with decimals you need to answer related questions on the MTEL Mathematics (Elementary) exam. Benefit from expert instruction, short quizzes and more that can help your test preparations.

MTEL Mathematics (Elementary): Operations with Decimals - Chapter Summary

The lessons in this chapter provide definitions, examples and methods perfect for helping you competently address operations with decimals on the MTLE Mathematics (Elementary) exam. Once you've completed this chapter, you will be more than prepared for the following:

  • Explaining how to solve inequalities with decimals and convert decimals to mixed numbers
  • Converting repeating decimals into fractions, and relating fractions and decimals
  • Adding, subtracting, multiplying and dividing decimals
  • Estimating with decimals to solve math problems, and estimating sums, differences and products of decimals
  • Solving problems using decimal numbers, and estimating one- and two-operation problems with positive decimals
  • Finding the solution and looking for a pattern for one- and two-operation problems with positive decimals
  • Demonstrating how to solve multi-step inequalities with decimals and simplify expressions involving decimals

Subject matter experts compile the study materials you need to review, then develop informative video presentations designed to enhance your knowledge of operations with decimals. Have fun getting reacquainted with the subject area from the comfort of your home or on the go via your mobile devices. Experts are available to answer any questions you have about lesson topics. Be sure to test your knowledge of the materials in this chapter by taking lesson quizzes and a chapter exam.

15 Lessons in Chapter 17: MTEL Mathematics (Elementary): Operations with Decimals
Test your knowledge with a 30-question chapter practice test
Inequalities 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.

Converting Decimals to Mixed Numbers

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.

Converting Repeating Decimals into Fractions

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.

Relating Fractions and Decimals

4. Relating Fractions and Decimals

Watch this video lesson to learn how to use both fractions and decimals to help you solve problems. Learn how to change between the two to use the best one for your problem.

Adding and Subtracting Decimals: Examples & Word Problems

5. 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.

Multiplying and Dividing Decimals: Examples & Word Problems

6. 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.

How to Estimate with Decimals to Solve Math Problems

7. 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.

Estimating Sums, Differences & Products of Decimals

8. 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.

Solving Problems Using Decimal Numbers

9. 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.

Estimation: One & Two Operation Problems with Positive Decimals

10. 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.

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

11. 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.

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

12. 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.

Solving Multi-Step Inequalities with Decimals

13. 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!

Maps with Decimal Distances

14. 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.

How to Simplify Expressions Involving Decimals

15. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the MTEL Mathematics (Elementary) (53): Practice & Study Guide course

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