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Mathematics 44 Online
OpenStudy (quickstudent):

Are these sets closed under multiplication?

OpenStudy (anonymous):

What are the sets?

OpenStudy (quickstudent):

The product of an even number and an even number The product of 0 and 0 The product of a perfect square and a perfect square

OpenStudy (quickstudent):

I'm guessing that they are, but I just want a double check.

OpenStudy (cwrw238):

a set is closed under multiplication if multiplying one element of the set by another always results in another member of the set

OpenStudy (cwrw238):

the first one is closed under multipication

OpenStudy (cwrw238):

- yes they all are

OpenStudy (quickstudent):

OK. I have one doubt though. Would zero and zero be considered a set?

OpenStudy (cwrw238):

yes - it is written as {0}

OpenStudy (quickstudent):

Alright. Thanks! C:

OpenStudy (cwrw238):

yw

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