About This Chapter
Numbers, Word Problems & Reasoning in Math - Chapter Summary
This chapter's video lessons offer an overview of key math principles and concepts. You'll study arithmetic expressions, word problem strategies, types of reasoning and how to apply critical thinking skills to math questions. Our professional instructors also discuss the types of numbers, including rational and irrational numbers. After you've put the time in to watch the videos, you should be able to do the following:
- Identify the types of numbers
- Write arithmetic expressions
- Differentiate between inductive, deductive and connective reasoning
- Understand logic as it relates to mathematics
- Restate and solve word problems
- Use personalization to understand word problems
- Convert math sentences into inequalities
Our video lessons make learning math an entertaining activity. The videos are usually about five minutes long and contain tags so you can quickly jump around to major points. Instructors break down concepts and apply them to real-world scenarios. Each lesson includes a video transcript as well as a multiple-choice quiz, which you can use to check your understanding of the chapter's topics.
1. What are the Different Types of Numbers?
Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.
2. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions
When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.
3. 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.
4. 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.
5. Critical Thinking and Logic in Mathematics
Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.
6. Solving Word Problems: Steps & Examples
Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.
7. Restating Word Problems Using Words or Images
Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.
8. Personalizing a Word Problem to Increase Understanding
When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.
9. Translating Math Sentences to Inequalities
Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.
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