If a is a rational number, what type of number is a+0?
Answer and explanation
Correct answer: Rational number
0 is a rational number and adding 0 does not change the value (a+0=a). Rational numbers are closed under addition, so a+0 remains rational. Option B is wrong because adding 0 cannot turn a rational into an irrational; C is wrong because rationals are real numbers, not non‑real; D is wrong because a rational need not be a natural number (it can be a fraction or negative). Exam tip: remember the additive identity (0) and the closure property of rational numbers under addition.
Frequently asked questions
What is the correct answer to this question?
Rational number
Why is this the correct answer?
0 is a rational number and adding 0 does not change the value (a+0=a). Rational numbers are closed under addition, so a+0 remains rational. Option B is wrong because adding 0 cannot turn a rational into an irrational; C is wrong because rationals are real numbers, not non‑real; D is wrong because a rational need not be a natural number (it can be a fraction or negative). Exam tip: remember the additive identity (0) and the closure property of rational numbers under addition.
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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