NCERT Solutions Class 9 Maths Chapter 1 Number Systems – Here are all the NCERT solutions for Class 9 Maths Chapter 1. This solution contains questions, answers, images, explanations of the complete chapter 1 titled Number Systems of Maths taught in class 9. If you are a student of class 9 who is using NCERT Textbook to study Maths, then you must come across chapter 1 Number Systems. After you have studied lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 9 Maths Chapter 1 Number Systems in one place.
NCERT Solutions Class 9 Maths Chapter 1 Number Systems
Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 9 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions.
For a better understanding of this chapter, you should also see summary of Chapter 1 Number Systems , Maths, Class 9.
| Class | 9 |
| Subject | Maths |
| Book | Mathematics |
| Chapter Number | 1 |
| Chapter Name |
Number Systems |
NCERT Solutions Class 9 Maths chapter 1 Number Systems
Class 9, Maths chapter 1, Number Systems solutions are given below in PDF format. You can view them online or download PDF file for future use.
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Question & Answer
Q.1: Is zero a rational number? Can you write it in the form \(\frac{p}{q}\), where p and q are integers and q ≠ 0?
Ans : Zero is a rational number as it can be represented as \(\frac{0}{1} \text { or } \frac{0}{2} \text { or } \frac{0}{3}\) etc.
Q.2: Find six rational numbers between 3 and 4.
Ans : There are infinite rational numbers in between 3 and 4. \(\begin{array}{l}{3 \text { and } 4 \text { can be represented as } \frac{24}{8} \text { and } \frac{32}{8}} \\ {\text { Therefore, rational numbers between } 3 \text { and } 4 \text { are }} \\ {\frac{25}{8}, \frac{26}{8}, \frac{27}{8}, \frac{28}{8}, \frac{29}{8}, \frac{30}{8}}\end{array}\)
Q.3: Find five rational numbers between 3 5 and 4 5 .
Ans : \(\begin{array}{l}{\text { There are infinite rational numbers between } \frac{3}{5}} & {\text { and } \frac{4}{5}} \\ {\frac{3}{5}=\frac{3 \times 6}{5 \times 6}=\frac{18}{30}} \\ {\frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}}\end{array}\) Therefore, rational numbers between \(\frac{3}{5} \text { and } \frac{4}{5}\). \(\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}\)
Q.4: State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number
Ans : (i) True; since the collection of whole numbers contains all natural numbers. (ii) False; as integers may be negative but whole numbers are positive. For example: —3 is an integer but not a whole number. (iii) False; as rational numbers may be fractional but whole numbers may not be. For Example :\(\frac{1}{5}\) is rational number but not a whole number.
Q.5: 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 \(\sqrt{m}\) , where m is a natural number.
(iii) Every real number is an irrational number.
Ans : (i) True; since the collection of real numbers is made up of rational and irrational numbers. (ii) False; as negative numbers cannot be expressed as the square root of any other number. (iii) False; as real numbers include both rational and irrational numbers. Therefore, every real number cannot be an irrational number.
NCERT / CBSE Book for Class 9 Maths
You can download the NCERT Book for Class 9 Maths in PDF format for free. Otherwise you can also buy it easily online.
- Click here for NCERT Book for Class 9 Maths
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All NCERT Solutions Class 9
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