Division by zero is undefined in mathematics. When a number is divided by zero, it is not possible to assign a numerical value to the result. This is because any number multiplied by zero is zero, so there is no unique value that can be assigned to the result of the division. Therefore, division by zero is not allowed, as it leads to contradictions and undefined outcomes
. For example, 0/0 is indeterminate, as it could be any value, and 1/0, 7/0, or any other number divided by zero is undefined
. In summary, division by zero is not permitted in mathematics due to the undefined nature of the result and the contradictions it leads to
