1. Number Systems Mathematics Exercise - 1.2 class 9 Maths in English - CBSE Study
NCERT Solutions for Class 9 Mathematics are carefully prepared according to the latest CBSE syllabus and NCERT textbooks to help students understand every concept clearly. These solutions cover all important 1. Number Systems with detailed explanations and step-by-step answers for better exam preparation. Each Exercise 1.2 is explained in simple language so that students can easily grasp the fundamentals and improve their academic performance. The study material is designed to support daily homework, revision practice, and final exam preparation for Class 9 students. With accurate answers, concept clarity, and structured content, these NCERT solutions help learners build confidence and score higher marks in their examinations. Whether you are revising a specific topic or preparing an entire chapter, this resource provides reliable and syllabus-based guidance for complete success in Mathematics.
Class 9 English Medium Mathematics All Chapters:
1. Number Systems
2. Exercise 1.2
Exercise 1.2
Q1. State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form √m , where m is a natural number.
(iii) Every real number is an irrational number.
Solution:
(i) Every irrational number is a real number. (True)
Justification: Real numbers are collections of both rational and irrational numbers.
(ii) Every point on the number line is of the form √m , where m is a natural number. (False)
Justification: Number line contains both negative and positive integers where m is a natural number, so there is no possibility to express negative number within square root.
(iii) Every real number is an irrational number. (False)
Justification: Real numbers are collections of both rational and irrational numbers not only irrational number.
Q2. Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Solution: No, the square roots of all positive integers are not only irrational but also they are rational.
Examples:
√1 = 1 rational
√2 = √2 irrational
√3 = √3 rational
√4 = 2 rational
√9 = 3 rational
Q3. Show how 5 can be represented on the number line.
Solution:
Topic Lists: