NCERT Solutions for Exercise 1.2 Class 9 Maths Chapter 1 - Number Systems

# NCERT Solutions for Exercise 1.2 Class 9 Maths Chapter 1 - Number Systems

Edited By Vishal kumar | Updated on Sep 29, 2023 01:04 PM IST

## NCERT Solutions for Class 9 Maths Exercise 1.2 Chapter 1 Number Systems- Download Free PDF

NCERT Solutions Class 9 Maths Chapter 1 Number Systems Exercise 1.2- NCERT Solutions for Class 9 Maths Exercise 1.2 deals with the notion of real numbers. Scientifically, numbers are classified into numerous sets to be rational numbers, irrational numbers, natural numbers, whole numbers, integers and real numbers. In exercise 1.2 Class 9 Maths, The Huge set in the number framework is real numbers which comprise of each number from -∞ to ∞ including zero and fraction whereas real numbers are the union of both the rational and irrational numbers which can be both positive or negative values. A number that can be composed as a division can be spoken to within the frame of pq where p and q are integers and q≠0 are rational numbers.

A number that cannot be composed within the form of a fraction with any numbers within the numerator and within the denominator is known as an irrational number. NCERT solutions for Class 9 Maths chapter 1 exercise 1.2 comprises 4 simple questions based on rational and irrational numbers. The concepts related to the number framework are well clarified in this Class 9 Maths chapter 1 exercise 1.2 . Alongside Class 9 Maths chapter 1 exercise 1.2 the taking after works out are too display.

These class 9 maths ex 1.2 solutions have been meticulously crafted by subject experts at Careers360. They are presented in a detailed and easily understandable language, making it simple for students to comprehend the concepts. Moreover, students have the convenience of downloading the PDF versions of these exercise 1.2 class 9 maths solutions, which are readily accessible at no cost, allowing them to use them at their convenience anytime they require.

## Access Solution of Number Systems Class 9 Chapter 1 Exercise: 1.2

(i) TRUE
Since the real numbers are the collection of all rational and irrational numbers.

(ii) FALSE
Because negative numbers are also present on the number line and no negative number can be the square root of any natural number

(iii) FALSE
As real numbers include both rational and irrational numbers. Therefore, every real number cannot be an irrational number.

For eg. 4 is a real number but not an irrational number

NO, Square root of all positive integers is not irrational. For the eg square of 4 is 2 which is a rational number.

We know that
$\sqrt{5} = \sqrt{(2)^2+(1)^2}$
Now,
Let OA be a line of length 2 unit on the number line. Now, construct AB of unit length perpendicular to OA. and join OB.
Now, in right angle triangle OAB, by Pythagoras theorem
$OB = \sqrt{(2)^2+(1)^2}=\sqrt{5}$
Now, take O as centre and OB as radius, draw an arc intersecting number line at C. Point C represent $\sqrt{5}$ on a number line.

## More About NCERT Solutions for Class 9 Maths Exercise 1.2: Number system

The notion of number line representation of rational and irrational numbers was the main focus of exercise 1.2 Class 9 Maths. There are also questions based on number line representation of rational and irrational numbers in NCERT solutions for Class 9 Maths exercise 1.2. Number lines are horizontal straight lines in which the integers are positioned in equal intervals. Number lines in Mathematics extend infinitely on both ends. Number lines are used to depict any real number, including both whole and natural numbers. In Mathematics, 0 is the midpoint of a number line, with all positive numbers occupying the right side of the zero and all negative numbers on the left side. These two sorts of numbers, rational and irrational, cannot be directly represented on a number line.

Also Read| Number Systems Class 9 Notes

## Benefits of NCERT Solutions for Class 9 Maths Exercise 1.2:

• NCERT syllabus Class 9 Maths exercise 1.2 helps students to cover the basics of rational numbers and irrational numbers

• By solving the NCERT solution for Class 9 Maths chapter 1 exercise 1.2 exercises, students can do any type of questions related to the concept of real numbers easily by exploring the relationship between rational and irrational numbers.

• NCERT book Exercise 1.2 Class 9 Maths, also helps to know the basic facts and differences regarding rational and irrational numbers for better understanding and how to identify them, and also how to locate them on a number line.

## Key Features of 9th Class Maths Exercise 1.2 Answers

1. Stepwise Solutions: The class 9 maths chapter 1 exercise 1.2 answers are presented in a step-by-step format, making it easy for students to follow the solution process.

2. Detailed Explanations: Each ex 1.2 class 9 answer is accompanied by a detailed explanation, helping students understand the underlying concepts and problem-solving techniques.

3. Adherence to NCERT Guidelines: The class 9 maths ex 1.2 solutions are prepared following the guidelines provided by the National Council of Educational Research and Training (NCERT), ensuring comprehensive coverage of the prescribed syllabus.

4. Coverage of All Questions: Class 9 ex 1.2 solutions aim to cover all the questions given in Exercise 1.2 of the textbook, leaving no question unanswered.

6. Clarity and Accuracy: The class 9 maths chapter 1 exercise 1.2 solutions are presented in a clear and accurate manner, eliminating any confusion or ambiguity.

7. Aid for Scoring: These class 9 maths ex 1.2 answers are designed to assist students in their exam preparations and enhance their chances of scoring well in assessments.

## Subject Wise NCERT Exemplar Solutions

1. According to NCERT solutions for Class 9 Maths chapter 1 exercise 1.2 , How are real numbers classified?

Real numbers are the union of both rational and irrational numbers.

2. 1/3 is a ______ number

Thus 1/3 is a rational number.

3. Say true /false: On a number line, a number on the left is always greater than a number on the right.

The given statement is false. A number on the left is always less than a number on the right because the left side of zero was occupied by the negative numbers on the number line.

4. A number on the right is always _______ than a number on the left.

A number on the right is always greater than a number on the left. Since all positive numbers occupy the right side of the zero.

5. How many numbers can be represented in a number line?

Mathematically, number lines extend indefinitely at both ends.  So an infinite number can be represented in a number line.

6. Integers are a subset of _______

Integers are a subset of rational numbers.

7. Say true or false: Rational Numbers are a subset of Real Numbers.

Yes, the given statement is true. Rational Numbers and irrational numbers are a subset of Real Numbers. Real numbers are the union of both rational and irrational numbers.

8. What is a number line?

The horizontal straight lines in which the integers are placed in equal intervals are known as number lines.

9. ___ is the middle point of the number line.

0 is the middle point of the number line.

10. In the NCERT solutions for Class 9 Maths chapter 1 exercise 1.2 , how many questions and what types of questions are there?

NCERT solutions for Class 9 Maths chapter 1 exercise 1.2 consists of 4 questions and the questions are based on the concept of rational and irrational numbers, differences regarding rational and irrational numbers and how to identify them, and also how to locate them on a number line.

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