Ch 16: TACHS: Decimals

About This Chapter

Refresh your understanding of decimal numbers as you progress through these lessons. The material you review here will help to prepare you for the problems you will be required to solve on the TACHS exam.

TACHS: Decimals - Chapter Summary

By the time you finish working through this chapter, you will be able to do calculations with decimals fluently and correctly. Review the following information in these lessons:

  • Understanding decimals and place value
  • Decimal-related terms and vocabulary
  • How to order and compare decimals
  • Inequalities, decimals and mixed numbers
  • Operations and problem-solving with decimals
  • Simplifying expressions and multi-step inequalities using decimals

We make it easy to get help when you need it. You can ask our instructors questions, and we have subject matter experts available to you who can provide additional information. This gives you one more reason to be comfortable with our lessons, because you know that help is never far away.

TACHS: Decimals Objectives

Admission into many Catholic high schools requires that you pass the TACHS exam. It is also a screening device that helps the school place students in ninth-grade classes. The math subtest, which these lessons address, accounts for 50% of the total score.

The TACHS test has 200 multiple-choice questions total. You will be expected to read each question carefully and choose the correct answer from the list of possible responses given. You will take the test using paper and pencil.

11 Lessons in Chapter 16: TACHS: Decimals
Test your knowledge with a 30-question chapter practice test
Working with Decimals

1. Working with Decimals

After watching this video lesson, you will become well acquainted with decimals and how to work with them. Learn how you can use them to help you describe what is going on around you.

What is a Decimal Place Value?

2. What is a Decimal Place Value?

In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.

Using Word Names for Decimal Numbers

3. Using Word Names for Decimal Numbers

In this video lesson, we go in depth into translating our decimal numbers into the English language. Learn how to write out decimal numbers and the special situations that there are.

Comparing and Ordering Decimals

4. Comparing and Ordering Decimals

In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.

Inequalities with Decimals

5. 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

6. 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.

Adding and Subtracting Decimals: Examples & Word Problems

7. 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

8. 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.

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.

Solving Multi-Step Inequalities with Decimals

10. 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!

How to Simplify Expressions Involving Decimals

11. 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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