About This Chapter
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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