Ch 30: Number Theory & Mathematical Reasoning

About This Chapter

This chapter focuses on number theory and mathematical reasoning. The lessons included touch on core aspects of these mathematical areas while guiding you through the steps of related operations.

Number Theory & Mathematical Reasoning - Chapter Summary

This chapter centers around mathematical actions and terms relevant to number theory and reasoning. You'll learn how to perform these operations and distinguish between different kinds of mathematical reasoning. Topics covered in this chapter include the following:

  • Picking out prime and composite numbers
  • Connective, inductive and deductive reasoning
  • Reasoning when performing multiplication and division
  • Mental math
  • Solving problems with estimation
  • Rounding

You can test your understanding topic-by-topic by taking the practice quizzes accompanying each lesson. These quizzes will point you right back to the connected portion of the lesson if you answer incorrectly, and they can also be printed in worksheet form for offline study. At the end of the chapter, you can assess yourself on a more complete level by means of a practice final exam.

9 Lessons in Chapter 30: Number Theory & Mathematical Reasoning
Test your knowledge with a 30-question chapter practice test
Identifying Prime & Composite Numbers

1. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

Reasoning in Mathematics: Connective Reasoning

2. Reasoning in Mathematics: Connective Reasoning

Connective reasoning is reasoning that has an operation, or a way to connect two phrases. The five main logic connectives will be reviewed in this lesson.

Reasoning In Multiplication & Division

3. Reasoning In Multiplication & Division

Did you know that sometimes when you multiply two numbers, the product is smaller than the larger original number? And, sometimes, dividing two numbers results in a quotient greater than the original numbers being divided! This lesson will explain this unusual phenomenon.

Reasoning in Mathematics: Inductive and Deductive Reasoning

4. Reasoning in Mathematics: Inductive and Deductive Reasoning

Many people think that deductive and inductive reasoning are the same thing. It is assumed these words are synonymous. They are not. This lesson reveals the reality of these two types of reasoning.

Mental Math: Addition and Subtraction

5. Mental Math: Addition and Subtraction

After watching this video lesson, you will get better at adding and subtracting numbers in your head without a calculator. Learn how breaking apart your addition and subtraction problems makes them easier and quicker to solve in your head.

Mental Math: Multiplication and Division

6. Mental Math: Multiplication and Division

Have you ever had to figure out the answer to a quick math problem? Sure, you can use your calculator on your phone, but what if that's out of battery life? In this lesson, we'll learn how to do mental math for multiplication and division.

Solving Mathematical Problems Using Estimation

7. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

Estimating a Difference by Rounding

8. Estimating a Difference by Rounding

After studying this lesson, you will understand rounding basics. You'll also learn how to quickly solve subtraction problems by using your rounding skills.

Rounding Decimals & Finding the Missing Digit

9. Rounding Decimals & Finding the Missing Digit

After watching this video lesson, you will learn how to round decimals and how to use your knowledge of rounding to help you find a missing digit. Learn what the difference is between rounding decimals and rounding regular numbers.

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.
Not Taken

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