This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
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Tuesday, September 14, 2010
hw #1-2
Let's get RATIONAL! Read the text and see if you still have questions... then ask 'em here!
The text book does a pretty good job of describing SETS of numbers such as rational numbers, integers, whole numbers, natural (aka counting) numbers, etc. All of these SETS are subset of the the major set of numbers known as REAL NUMBERS. Some are subsets of one another.
Here is an analogy... the set of soccer players consists of forwards, midfielders and defenders. Forwards are a subset of the (major) set of soccer players... so are defenders... goalies are a subset of defenders... you could say also that goalies are a subset of soccer players... you could NOT say that goalies are a subset of forwards... etc...
All integers are rational numbers (you can define them as a/b), so integers form a subset of rational numbers... all rational numbers are real, so rationals are a subset of real numbers... therefore you can also say that integers are a subset of the set of real numbers.
Here are two questions I received via email... I'd rather receive them right here on the blog...
ReplyDelete1) questions 27-35 what are subsets and if so can u give me some examples
2) What is a rational number?
The text book does a pretty good job of describing SETS of numbers such as rational numbers, integers, whole numbers, natural (aka counting) numbers, etc. All of these SETS are subset of the the major set of numbers known as REAL NUMBERS. Some are subsets of one another.
ReplyDeleteHere is an analogy... the set of soccer players consists of forwards, midfielders and defenders. Forwards are a subset of the (major) set of soccer players... so are defenders... goalies are a subset of defenders... you could say also that goalies are a subset of soccer players... you could NOT say that goalies are a subset of forwards... etc...
All integers are rational numbers (you can define them as a/b), so integers form a subset of rational numbers... all rational numbers are real, so rationals are a subset of real numbers... therefore you can also say that integers are a subset of the set of real numbers.
Let me know if this helped.
Mr. C.
What are natural numbers?
ReplyDeleteAnd are real numbers 0,1,2,3..?
Or 1,2,3..?
We have discussed this in class (on the board) twice AND the answers are VERY clear in your textbook (handout) on page 18.
ReplyDelete