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Properties of Real Numbers

Mike McGarry
Lesson by Mike McGarry
Magoosh Expert
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Arithmetic and Fractions
Summary
The content provides a foundational overview of arithmetic and the properties of real numbers, essential for ACT exam preparation.
  • Introduction to the basic properties of mathematics, starting with the concept of real numbers which include all numbers on the number line.
  • Explanation of the importance of understanding different types of numbers: real numbers, integers, and positive integers, and how the ACT test uses these terms.
  • Discussion on the four fundamental operations in arithmetic: addition, subtraction, multiplication, and division, along with their results termed as sum, difference, product, and quotient respectively.
  • Detailed explanation of arithmetic properties common to all real numbers, including commutative, associative, and distributive properties.
  • Insight into special properties concerning the numbers 1 and 0, such as multiplying or dividing by 1, multiplying by 0, the zero product property, and dividing a number by itself.
Chapters
00:00
Introduction to Real Numbers
00:52
Understanding Types of Numbers
02:44
Fundamental Arithmetic Operations
03:11
Arithmetic Properties of Real Numbers
06:09
Special Properties of 1 and 0

Q: In the video, the speaker mentions summaries of the video lectures. Where do I find the summaries?

A: The summaries are at the end of the videos. So, they aren't kept somewhere in Magoosh; they are within the videos, at the end. 

You can scroll to the end until you see the words "Summary" in bold. It should only take a few seconds to scroll through to the end of the lessons. 

For example, in the lesson above, the summary starts just after 7:30. In the lesson Positive and Negative Numbers, it's at about 7:25. 

By the way, you can also see the lesson transcript by clicking "show transcript" below the volume button.