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I think so. If you take the Cayley table of {0,2,4,6,8} under multiplication mod 10, you will find that when you multiply 6 by a number mod 10, you get that number (ex. 6x2=2x6=12mod10=2.) So 6 is the unity (or identity) because when you multiply 6 by a number it does not change. | I think so. If you take the Cayley table of {0,2,4,6,8} under multiplication mod 10, you will find that when you multiply 6 by a number mod 10, you get that number (ex. 6x2=2x6=12mod10=2.) So 6 is the unity (or identity) because when you multiply 6 by a number it does not change. | ||
--Neely Misner | --Neely Misner | ||
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| + | So are you saying that 6 is also the unity under addition? I do not understand this part. | ||
Revision as of 16:52, 22 October 2008
I was wandering is the unity of the ring the same as the identity and for this problem is the unity the same for multiplication and addition I am a little confused? Nate Shafer
I think so. If you take the Cayley table of {0,2,4,6,8} under multiplication mod 10, you will find that when you multiply 6 by a number mod 10, you get that number (ex. 6x2=2x6=12mod10=2.) So 6 is the unity (or identity) because when you multiply 6 by a number it does not change.
--Neely Misner
So are you saying that 6 is also the unity under addition? I do not understand this part.
