Closure property for rational numbers is satisfied in case of __________ .

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Solution

Sum of two rational numbers is always a rational number.
Difference of two rational numbers is always a rational number.
Product of two rational numbers is always a rational number.

So, rational numbers are closed under addition, subtraction and multiplication.

But, rational numbers are not closed under division.

So, option (d) is correct.

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Similar questions

Q. An operation * is defined on the set Z of non-zero integers by

a * b = \frac{a}{b}

for all a, b ∈ Z. Then the property satisfied is
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(b) commutative
(c) associative
(d) none of these

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