Which one of the following is a rational number:
This document provides NCERT Solutions for Class 9 Mathematics, Chapter 1: Number System, focusing on MCQ-based questions from the exercise. It includes short-answer multiple-choice questions that help students understand concepts like rational and irrational numbers, terminating and non-terminating decimals, and real numbers. Each question is designed to test conceptual clarity and logical reasoning. The MCQs follow the NCERT syllabus, ensuring exam relevance and easy comprehension. This resource is useful for quick revision, practice and self-assessment. By solving these questions, students can strengthen their foundational knowledge of the number system and improve their problem-solving skills efficiently.
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A rational number is any number that can be expressed as p/q, where p and q are integers, and q ≠ 0.
Now, let’s check each option:
(a). √3 The square root of 3 is irrational because it cannot be written as a fraction of two integers.
(b). √2 The square root of 2 is also irrational because it has a non-repeating , non-terminating decimal expansion.
(c). 0 Zero can be written as 0/1, which is in the form p/q where p = 0 and q = 1. Since it satisfies the definition of a rational number, 0 is rational.
(d). √5 The square root of 5 is irrational for the same reasons as √2 and √3.
Conclusion: The only rational number in the given option is 0 (option c).
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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