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M326K
Homework #2: due Friday, 2/1
Objective
: To reinforce and practice applying some of the concepts and terminology in the
class activity “A Finite Number System”.
Note
: If you have not ﬁnished Problems 17 of Class Activities Handout 1, ﬁnish them out
side of class, either by yourself or with others. (A sample writeup of some of these problems
is posted on Blackboard under “Course Documents”.) Read “Tips for Writing Up Home
work” at the end of your syllabus. You can ﬁnd this on Blackboard under “Assignments
(About the Homework)” as well.
To Hand In
:
Sara and Jon made up a “number system”. The objects in this system are
α,β,γ,δ
and the
operation (which they decided to call “addition”) is +. The operation is deﬁned by the table
below.
+
α
β
γ
δ
α
δ
γ
β
α
β
γ
δ
α
β
γ
β
α
δ
γ
δ
α
β
γ
δ
1. Is this system closed under +? Explain why or why not.
2. Is + in this system commutative? What pattern in the table reveals commutativity?
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This note was uploaded on 03/19/2008 for the course M 326K taught by Professor Harper during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Harper

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