 # NCERT Solutions for Class 9 Maths Chapter 1 Number System  View Notes

## NCERT Solutions Class 9 Maths Chapter 1 Number System - Free PDF

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems strictly based on the updated syllabus provided by CBSE, has been prepared by experts of Vedantu keeping in mind the problems and difficulties faced at the examinations. Greater emphasis has been given on the conceptual understanding, mathematical formulations and solutions of problems to endow you with the skills of solving problems adroitly. It contains ample of solved examples with key facts covering the entire syllabus. Well, I guess that’s all you need to ace your exams!!

So we at Vedantu provide you with an easy way through our NCERT Solutions Class 9 Maths Chapter 1 Number System to learn tricks. Our NCERT solution for class 9 maths chapter 1 will teach you about the characteristics of whole numbers, natural numbers, irrational numbers, and prime numbers, etc. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 9 Science, Maths solutions, and solutions of other subjects that are available on Vedantu only.

1. What is number system?

Answer: Number system is a systematic way of writing or representing all numbers of a particular type. A number system is also called a numeral system. There are various types of number systems, such as the decimal number system, the octal number system, the binary number system, the hexadecimal number system. We can express each and every number in a unique way on a number system. The base of the number system, the digit, and the position of the digit in a number are the three factors determining the value of a number in a number system. A number can have different values in different number systems.

2. What is the difference between a rational number and an irrational number?

Answer: Any number is said to be a rational number when it can be expressed as a ratio of two integers, and the denominator of the ratio is not equal to zero. A number that cannot be expressed as a ratio of two integers is said to be an irrational number. The rational numbers are called the real numbers, whereas the irrational numbers consist of an imaginary part, that is, √-1. Any non-repeating decimal or non-terminating decimal can be called irrational, whereas all rational numbers are either a terminating decimal or a repeating decimal.

3. How many sums are there in the NCERT Class 9 Chapter 1 Number System?

Answer: There are six exercises in the NCERT Class 9 Chapter 1 Number System. In the first exercise, Ex-1.1, there are 4 sums and in the second exercise, Ex-1.2, there are 3 sums. These first two exercises deal with the basic concepts of the number system, such as identifying the features of a rational number or an irrational number and locating them on the number line. In the third exercise, Ex-1.3, there are 9 sums, and most of them have sub-questions. The fourth exercise, Ex-1.4, comprises 2 sums, that deal with successive magnification for locating a decimal number on the number line. The fifth exercise, Ex-1.5, consists of 5 sums, on the concept of rationalization. The sixth exercise, Ex-1.6, consists of 3 sums, that have sub-questions. The sums in this exercise will require you to find the various roots of numbers.

4. Will the NCERT Solutions for Class 9 Maths Chapter 1 Number System help me to understand the concept of rational and irrational numbers?

Answer: Yes, the NCERT Solutions for Class 9 Maths Chapter 1 Number System will definitely help you to understand the concept of rational and irrational numbers. These solutions cover all the sums that are given in the exercises. They are prepared by the highly experienced teachers at Vedantu, in a step by step manner. So by following these solutions you will be able to understand the proper problem-solving process for every sum of this chapter. You will be able to understand various concepts such as locating a number on the line, the process of rationalization, and so on. Also, you can download the PDF for these NCERT solutions for free from Vedantu and consult them to develop a good grip on the concepts of rational and irrational numbers.

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