Arithmetic: Fundamentals Properties of Real Numbers Up Next: Positive and Negative Numbers - Part I Can't listen to audio right now? Turn on captions. Lesson by Mike McGarry Magoosh Expert Next Lesson Positive and Negative Numbers I 6:00 Summary and FAQs Transcript Summary The content provides a foundational overview of arithmetic, focusing on the properties of real numbers, essential for GRE prep. It emphasizes understanding real numbers, integers, and the fundamental operations and properties in mathematics. Introduction to the basic properties of mathematics, starting with the concept of real numbers, which include all numbers on the number line. Distinction between numbers, integers, and positive integers, highlighting the importance of not confusing these categories. Explanation of the four fundamental operations in arithmetic: addition, subtraction, multiplication, and division, along with their results: sum, difference, product, and quotient. Discussion on the commutative, associative, and distributive properties of real numbers, emphasizing the practical understanding of these properties over memorizing their names. Special focus on the properties concerning the special numbers 1 and 0, including the zero product property and the rule for dividing a number by itself. Chapters 00:05 Understanding Real Numbers 02:42 Fundamental Operations and Their Results 03:11 Key Properties of Arithmetic 06:09 Special Numbers and Their Properties 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.