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I do not understand the following statement in my textbook. "The finite set {0,1,2,3,4} is a...

I do not understand the following statement in my textbook. "The finite set {0,1,2,3,4} is a field when addition and multiplication are computed modelo 5."

How is this true?

A field is a set where addition and multiplication are well defined operations for commutative, associative properties, and they obey the distributive property.

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