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Question

Rational numbers are not closed under which operation?



Your Answer
A

Addition

Your Answer
B

Subtraction

Your Answer
C

Multiplication

Correct Answer
D

Division


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 numbers 43 and 54
Addition: 43543112
Subtraction: 43  -  54112
Multiplication: 43 × 5453
In division, when we take two rational numbers other than zero, we will get rational number in result. But when we take 0 as one of the rational numbers, division by 0 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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