Which option shows the result of multiplying an irrational number by zero?
Answer and explanation
Correct answer: (0) which is rational
Multiplying any real number — whether rational or irrational — by zero always yields zero (0). Zero is rational because it can be written as \(0=0/1\). Hence the correct choice is (0), which is rational. The closest distractor is B (Always irrational), which is incorrect since zero is not irrational. Exam tip: Whenever you see "×0" in a question, the product is immediately 0, regardless of the other factor's type.
Frequently asked questions
What is the correct answer to this question?
(0) which is rational
Why is this the correct answer?
Multiplying any real number — whether rational or irrational — by zero always yields zero (0). Zero is rational because it can be written as \(0=0/1\). Hence the correct choice is (0), which is rational. The closest distractor is B (Always irrational), which is incorrect since zero is not irrational. Exam tip: Whenever you see "×0" in a question, the product is immediately 0, regardless of the other factor's type.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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