What type of number is 0?
Answer and explanation
Correct answer: Rational and real
0 can be written as \\(\frac{0}{1}\\), so it is rational (a ratio of two integers). All rational numbers are also real, therefore 0 is real. Option B is incorrect because irrational numbers cannot be expressed as a ratio of integers (they have non-terminating, non-repeating decimals). Options C and D are false—0 is not non-real and not only negative. Exam tip: To check if a number is rational, try expressing it as \\(\frac{p}{q}\\) with integers p,q (q≠0) or check whether its decimal expansion terminates/repeats.
Frequently asked questions
What is the correct answer to this question?
Rational and real
Why is this the correct answer?
0 can be written as \\(\frac{0}{1}\\), so it is rational (a ratio of two integers). All rational numbers are also real, therefore 0 is real. Option B is incorrect because irrational numbers cannot be expressed as a ratio of integers (they have non-terminating, non-repeating decimals). Options C and D are false—0 is not non-real and not only negative. Exam tip: To check if a number is rational, try expressing it as \\(\frac{p}{q}\\) with integers p,q (q≠0) or check whether its decimal expansion terminates/repeats.
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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