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Ch 3: MTLE Mathematics: Operations with Real Numbers

About This Chapter

This chapter on operations with real numbers is your destination for a thorough and painless review of the subject-relevant material you'll want to be ready for going into the MTLE Mathematics exam.

MTLE Mathematics: Operations with Real Numbers - Chapter Summary

This chapter tackles various mathematical operations involving real numbers, with a particular focus on the kind of material you'll be encountering on the MTLE Mathematics test. After reviewing this chapter, you'll have renewed and strengthened your understanding of:

  • Calculating the greatest common factor and the least common multiple
  • Discovering the prime factorization of a number
  • Simplifying integer expressions
  • Number lines
  • Ordering and comparing numbers
  • The notation of and relationships between decimals, rational numbers and fractions
  • The mathematical order of operations

Since we don't all study best through the same presentation of material, each lesson includes both a video and transcript of the content, allowing you to review in the manner best suited to your particular learning style. After each lesson, you'll be able to confirm your understanding of it with a practice quiz that you can take and re-take until you feel comfortable enough to move on.

8 Lessons in Chapter 3: MTLE Mathematics: Operations with Real Numbers
Test your knowledge with a 30-question chapter practice test
How to Find the Greatest Common Factor

1. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

2. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

How to Find the Prime Factorization of a Number

3. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

How to Simplify Expressions with Integers

4. 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.

What Is a Number Line?

5. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

Comparing & Ordering Rational Numbers

6. Comparing & Ordering Rational Numbers

After watching this video lesson, you will be able to look at any rational number and compare it with any other rational number. Learn what you need to do so that you know which number is greater or lesser than another.

Notation for Rational Numbers, Fractions & Decimals

7. Notation for Rational Numbers, Fractions & Decimals

How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.

What Is The Order of Operations in Math? - Definition & Examples

8. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Mathematics: Practice & Study Guide course

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