For which operation is the set of integers not closed?
2 answers
The set of integers is not closed under division by zero. Division by zero is undefined in arithmetic, so it is not a valid mathematical operation. If we divide any integer by zero, the result is undefined and not a part of the set of integers.
Not quite!
The set of integers is not closed under division, since in general
division of one integer by another does not necessarily yield an integer.
e.g. 12/5 does not result in an integer, all we need is one exception.
The division by zero that the bot mentions would apply to all sets.
The set of integers is not closed under division, since in general
division of one integer by another does not necessarily yield an integer.
e.g. 12/5 does not result in an integer, all we need is one exception.
The division by zero that the bot mentions would apply to all sets.
6 answers