SOLUTION: Give one reason why the natural numbers {1,2,3,4,5,....} are not a group under addition. please explain

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Question 623684: Give one reason why the natural numbers {1,2,3,4,5,....} are not a group under addition. please explain
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The additive identity 0 is NOT in the set above. Also, the additive inverse for each element is not present in the set (eg: the additive inverse of 5, which is -5, is not in the set). So it's not a group for those reasons.