Which number is a rational number between 2 and 3?
Answer and explanation
Correct answer: 5/2
A rational number can be written as a fraction of two integers with a non-zero denominator. Option A gives 5/2 = 2.5, and 2 < 2.5 < 3, so it satisfies both conditions. Hence option A is correct. The number √5 lies between 2 and 3 because 4 < 5 < 9, but it is irrational, not rational. Similarly, √6 is between 2 and 3, since 4 < 6 < 9, yet it is irrational because 6 is not a perfect square. The value π is approximately 3.14, so it is not even between 2 and 3, although π itself is irrational. The question requires checking location and number type together; being between the endpoints alone is not sufficient. The fraction form of 5/2 proves rationality directly.
Frequently asked questions
What is the correct answer to this question?
5/2
Why is this the correct answer?
A rational number can be written as a fraction of two integers with a non-zero denominator. Option A gives 5/2 = 2.5, and 2 < 2.5 < 3, so it satisfies both conditions. Hence option A is correct. The number √5 lies between 2 and 3 because 4 < 5 < 9, but it is irrational, not rational. Similarly, √6 is between 2 and 3, since 4 < 6 < 9, yet it is irrational because 6 is not a perfect square. The value π is approximately 3.14, so it is not even between 2 and 3, although π itself is irrational. The question requires checking location and number type together; being between the endpoints alone is not sufficient. The fraction form of 5/2 proves rationality directly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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