Which of the following is true?
The statement “Every whole number is a natural number” is false because whole numbers include zero (0), while natural numbers start from 1. Since 0 is a whole number but not a natural number, not all whole numbers are natural numbers. Thus, the two sets are different.
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.
Let’s analyze each statement carefully:
Option (a): Every whole number is a natural number
Natural numbers (N): {1,2, 3, 4,…}
Whole numbers (W): {0,1,2,3,4,…}
Since whole number include 0, but natural number do not, this statement is false.
Option (b): Every integer is a rational number
Integers (Z): {…, -3, -2, -1, 0, 1,2,3,…)
Rotational number (Q): Numbers that can be expressed as p/q, where p and q are integers, and q ≠ 0.
Every integer x can be written as x/1, which is in the form of a rotational number.
Thus this statement is true.
Option (c): Every rational number is an integer.
Example 1/2 is a rational number but not an integer.
So, this statement is false.
Option (d): Every integer is a whole number
Whole number do not include negative numbers, but integers do.
Example: -1 is an integer but not a whole number.
Thus, this statement is false.
Final Answer: The correct answer is (b) Every integer is a rotational number. This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
For more please visit here:
https://www.tiwariacademy.in/ncert-solutions/class-9/maths/