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Question
Which of the following mathematical operations is not closed on integers?
Which of the following mathematical operations is not closed on integers?
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Solution
The correct option is D Division
The Closure Property states that when an operation (such as addition, multiplication, etc.) is performed on any two integers, the result of the operation is also an integer.
But when an integer is divided by another integer, we may not get an integer always.
Example:- 1 and 2 are integers but when 1 is divided by 2, we get 0.5 which is not an integer.
Thus, the set of integers is not closed under the operation of division.
The Closure Property states that when an operation (such as addition, multiplication, etc.) is performed on any two integers, the result of the operation is also an integer.
But when an integer is divided by another integer, we may not get an integer always.
Example:- 1 and 2 are integers but when 1 is divided by 2, we get 0.5 which is not an integer.
Thus, the set of integers is not closed under the operation of division.
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