# NCERT Solutions for Class 9 MathsNumber Systems (Ex 1.2) Exercise 1.2

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 is a comprehensive study guide for students seeking in-depth understanding. Class 9 Maths Exercise 1.2 is written in accordance with NCERT and CBSE requirements. Many well-known individuals in Mathematics have contributed to the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 to make the chapter easier for students. The Extramarks offer PDFs of complete NCERT Solutions for updated CBSE textbooks to students. Subjects such as Science, Mathematics, and English will become easier to study if they have access to Class 9 Science NCERT Solutions, Mathematics solutions, and other solutions that are only accessible on the Extramarks.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 number systems is intended to teach students about irrational numbers.

A number that cannot be represented by a fraction is said to be illogical. As a consequence, the questions are meant to provide students with a more comprehensive comprehension of the same subject. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 is made up of four basic tasks that assist students in developing a good mental knowledge of irrational numbers.

The National Council of Educational Research and Training (NCERT) is in charge of producing and releasing textbooks for all levels and disciplines. NCERT textbooks cover all subjects and are accepted by the Central Board of Secondary Education (CBSE) and other state boards.

The students need to have a solid foundation in order to do effectively in any topic or any subject. The learners will be able to establish a strong foundation in the subject with the help of NCERT Solutions for Hindi or English.

NCERT Solutions are extremely important for students to incorporate into their studying and learning process. NCERT Solutions serve as an excellent reference and review tool for students in grades 1 through 12. The Extramarks offer high-quality study resources created by subject-matter experts. The Extramarks NCERT Solutions give clear and correct solutions to every question in the NCERT books in a methodical manner. The response writing style and structure are well-suited to each class of student’s knowledge level.

## NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2 (Ex 1.2)

Extramarks is a renowned e-learning platform that gives access to the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 in Hindi and English. If students are in Class 9, they have arrived at the right spot. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 are written in the simple, easy-to-remember language. The website also allows users to get the PDF version of the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2.

## NCERT Maths Class 9 Chapter 1 – Exercise 1.2

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2-  Number systems is an activity designed to teach students more about irrational numbers. The Extramakrs website explains that an irrational number is one that cannot be expressed as a fraction. As a result, the questions are designed to help students get a better comprehension of the same subject. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 comprises four simple tasks that assist children to develop a good conceptual understanding of irrational numbers.

The number line representation of irrational numbers is a crucial idea discussed in the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2.

Because such numbers cannot be immediately recorded on a number line, students must have a complete comprehension of the actions involved. A simple PDF version of the Exercise 1.2 Class 9 NCERT Solutions number systems.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  will assist students in understanding the fundamentals of irrational numbers, making it an excellent self-learning tool.

Class 9 Maths NCERT Solutions Chapter 1 – Number Systems The second exercise in Chapter 1 of Class 9 Maths is Exercise 1.2. Irrational numbers are explained in this activity.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  will assist students in answering and revising all the problems in Class 9 Maths Exercise 1.2.

Students will be able to acquire more marks after going through the step-by-step answers provided by academic specialist at Extramarks.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 adheres to NCERT norms, which aid students in preparation.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  contains all the key questions from the standpoint of the test.

## NCERT Maths Class 9 Chapter 1 – Exercise 1.2

The number system is discussed in the Class 9 Maths Exercise 1.2. The number system serves as the foundation for students’ later study of the subject of Mathematics. According to the NCERT curriculum, Exercise 1.2 Class 9 Maths discusses numerous types of number systems. The basis on which the whole discipline of Mathematics is based is the number system. To do well in the exam, it is vital to comprehend them well. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  solutions are available as a PDF file on the Extramarks website.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  number systems delves into the principles of irrational numbers, including what they mean, how to recognize them, and where to find them on a number line. As a result, students are taught to learn the fundamental facts and distinctions between rational and irrational numbers.

There are several sorts of number systems. The many kinds are as follows:

Natural Numbers – The Natural numbers are used for counting and always begin with 1.

Whole Numbers – These are all-natural numbers that include zero.

Integers – These are the set of all whole numbers and their corresponding negative numbers.

Rational Numbers – A rational number is any integer that can be represented as a ratio of two natural numbers.

Irrational Numbers – These are any numbers that cannot be expressed as a ratio of two natural numbers.

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  is a reliable revision material to incorporate while preparing for examination.

### NCERT Solutions for Class 9

Class 9 is the cornerstone for a well-formed and strong foundation for the upcoming board test. The Class 9 syllabus is fairly extensive and thorough. It covers all the subjects and ideas that students will need for their subsequent exams. Class 9 examinations are also used to assess students’ academic ability. This is the time for students to buckle down and focus on their academics. All NCERT chapters are designed to help in developing holistically. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  is the result of an extensive study conducted by a staff of qualified teachers who understand pedagogy and technology. The instructor knows students’ thinking and study habits. The NCERT Solutions for Class 9 include all the chapters in all the topics in Class 9. Based on CBSE guidelines, these products give concept-based learning in the convenience of their own homes. It is difficult for students to receive individualized attention in school, which is why Extramarks allows students to do so on their own. Students can use the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 to learn by themselves or in association with other study materials to improve their preparation. The Extramarks step-by-step solutions to NCERT textbooks are easily accessible via their website.

### CBSE Study Materials for Class 9

CBSE Study Materials for Class 9 sets the groundwork for Class 10 and beyond. The curriculum for Class 9 Mathematics, Science, and Social Science is extensive and challenging. It covers all of the fundamental principles that will be important in competitive examinations like the IIT JEE, Olympiads, NEET, and so on. As a result, it is critical for students to study for and do well in their Class 9 examinations. Extramakrs has supplied the CBSE Study Materials for Class 9 to assist students in their studies.

The CBSE Study Materials for Class 9 are prepared by a team of subject specialists, and the format is well-structured in accordance with NCERT norms. It outlines each answer step by step so that students can readily comprehend it. Students will gain knowledge of response writing abilities from an exam viewpoint as marks are assigned to each stage. The academic  examination question papers are based on the NCERT Class 9 book. As a result, completing the problems with the NCERT Class 9 Solutions aids students in test preparation.

### CBSE Study Materials

The Central Board of Secondary Education, abbreviated as CBSE, is one of the most important and respected educational bodies in the country, reporting to the Union Government of India. The CBSE board has several private and public schools that follow the NCERT curriculum.

Extramarks comes up with CBSE study materials for students that are exciting, engaging, and user-friendly, allowing them to learn and prepare for the examinations more quickly. Subject specialists create the study materials while keeping the newest CBSE syllabus in mind. All students will benefit from the online CBSE study materials, which include the curriculum, books, sample papers, question papers, NCERT solutions, essential questions, and CBSE notes.

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It is impossible for any student to finish a year’s worth of coursework in a few days. As a result, students are advised to study on a daily basis. This will assist them in finishing the curriculum on schedule. They will also have adequate time to prepare and practice before the yearly test.

Q.1 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.

Ans
(i) True; because real number is a collection of rational and irrational number.
(ii) False; as negative numbers cannot be represented as the square root of any other number.
(iii) False; as real numbers include both rational and irrational numbers i.e., irrational number is a part of real number. Therefore, every real number cannot be an irrational number.

Q.2 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.

Ans No, the square roots of all positive integers are not irrational. For example: The square roots of 4 and 9 are 2 and 3 respectively.

Q.3

$\mathrm{Show}\mathrm{how}\sqrt{5}\mathrm{can}\mathrm{be}\mathrm{represented}\mathrm{on}\mathrm{the}\mathrm{number}\mathrm{line}.$

Ans

$\begin{array}{l}\sqrt{5}\text{can be written as}\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\sqrt{5}=\sqrt{4+1}\\ =\sqrt{{\left(2\right)}^{2}+{1}^{2}}\\ \text{Mark a point}‘\text{A}’\text{representing 2 on number line}.\\ \text{Now},\text{construct AB of unit length perpendicular to OA}.\text{}\\ \text{Then},\text{taking O as centre and OB as radius},\text{draw an arc which intersect the number line at C}.\\ \text{OC represents the length of}\text{\hspace{0.17em}}\sqrt{5}\text{\hspace{0.17em}}\text{The point C represents}\text{\hspace{0.17em}}\sqrt{5}\end{array}$

Q.4

$\begin{array}{l}\text{Write the following in decimal form and say what kind of}\\ \text{decimal expansion each has:}\\ \left(\text{i}\right)\text{ }\frac{\text{36}}{\text{100}}\text{ }\left(\text{ii}\right)\text{ }\frac{\text{1}}{\text{11}}\text{ }\left(\text{iii}\right)\text{ 4}\frac{\text{1}}{\text{8}}\text{ }\left(\text{iv}\right)\text{ }\frac{\text{3}}{\text{13}}\text{ }\left(\text{v}\right)\text{ }\frac{\text{2}}{\text{11}}\text{ }\left(\text{vi}\right)\text{ }\frac{\text{329}}{\text{400}}\end{array}$

Ans

$\begin{array}{l}\left(\mathrm{i}\right)\frac{36}{100}=0.36\\ \text{It is a terminating decimal because remainder is zero.}\\ \left(\mathrm{ii}\right)\frac{1}{11}=0.0909090909\dots \\ \text{It is a non-terminating decimal because remainder is not zero.}\\ \left(\mathrm{iii}\right)4\frac{1}{8}=4.125\\ \text{It is a terminating decimal because remainder is zero.}\\ \left(\mathrm{iv}\right)\frac{3}{13}=0.230769230769\dots \\ \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}=0.\overline{230769}\\ \text{It is a non terminating decimal because it is a repeating}\\ \\ \left(\mathrm{v}\right)\frac{2}{11}=0.181818181818\dots \\ \text{\hspace{0.17em}\hspace{0.17em}}=0.\overline{18}\\ \text{It is a terminating decimal because it is a repeating}\\ \text{\hspace{0.17em}}\\ \left(\mathrm{vi}\right)\frac{329}{400}=0.8225\\ \text{It is a terminating decimal because remainder is zero.}\end{array}$

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### 1. How to download the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2?

The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 can be downloaded from the Extramarks website and mobile application. Subject matter experts curated these solutions, which are available in PDF format. Students can always refer to the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 as they go through the practice problems.

### 2. What are the benefits of using the NCERT Solutions Class 9?

Students can effortlessly practice and revise subjects by referring to NCERT Solutions.

It saves time by providing all pertinent ideas and equations in the proper sequence.

The opportunity to get the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2  PDF Download enables students to take a logical approach, which is necessary for passing the test.

### 3. How many problems are there in Class 9 Maths Chapter 1 Exercise 1.2?

There are four questions in the NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2. All the problems are solved step-wise with accurate answers. Students can use this to cross-check their answers. The NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.2 are effective and efficient material. This will help in saving their precious time.