SOLUTION: Is the set {-1,0,1} closed under multiplication?
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Question 621266: Is the set {-1,0,1} closed under multiplication?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
YES:
The multiplication table for that set (with multiplication defined as we know it) is:
Factors are at the top and on the left; products are at the corresponding column-row intersection inside the red square.
As you see, the products include only elements of the set {-1, 0, 1} that you started with, so the set is closed under multiplication.
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