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Question

Rational numbers are not closed under which operation?


A

Addition

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B

Subtraction

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C

Multiplication

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D

Division

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Solution

The correct option is D

Division


When we add, subtract or multiply any two rational numbers, the result will always be a rational number.
For example: Consider two rational number 43 and 54
Addition: 43+54=3112
Subtraction: 4354=112
Multiplication: 43×54 = 53
In division, when we take two rational numbers other than zero, we will get rational number in result. But when we take 0 as denomiantor, it is not defined and hence it doesn't satisfy the condition of closure property. So only in division, rational numbers do not follow the closure property.


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