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properties of real numbers

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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.

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arithmetic and fractions