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Question
If D be subset of the set of all rational numbers, then D is closed under the binary operations of ..............
If D be subset of the set of all rational numbers, then D is closed under the binary operations of ..............
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Solution
The correct option is D addition, subtraction and multiplication.
Rational numbers are closed under all these operations except for division. Add two rational numbers, get a rational number; multiply two rationals, get a rational, etc. Problem with division is that if we divide any number by '0' we cannot tell the output. Some people says it is infinity but that's not true. Division by '0' is not defined.
So correct answer will be option C
Rational numbers are closed under all these operations except for division. Add two rational numbers, get a rational number; multiply two rationals, get a rational, etc. Problem with division is that if we divide any number by '0' we cannot tell the output. Some people says it is infinity but that's not true. Division by '0' is not defined.
So correct answer will be option C
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