**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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### NCERT Solutions Class 9 Maths chapter 1 Number Systems- Video

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### Download NCERT Solutions Class 9 Maths chapter 1 Number Systems In PDF Format

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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
- Click here to buy NCERT Book for Class 9 Maths

### All NCERT Solutions Class 9

- NCERT Solutions for Class 9 English
- NCERT Solutions for Class 9 Hindi
- NCERT Solutions for Class 9 Maths
- NCERT Solutions for Class 9 Science
- NCERT Solutions for Class 9 Social Science
- NCERT Solutions for Class 9 Sanskrit

### All NCERT Solutions

You can also check out NCERT Solutions of other classes here. Click on the class number below to go to relevant NCERT Solutions of Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Class 1 | Class 2 | Class 3 |

Class 4 | Class 5 | Class 6 |

Class 7 | Class 8 | Class 9 |

Class 10 | Class 11 | Class 12 |

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