NCERT Solutions for Class 9 Maths- NCERT Solutions adhere to the guidelines set by NCERT, ensuring comprehensive coverage of the syllabus. Utilizing these solutions can greatly aid students in achieving high scores in their CBSE examinations. Chapter 1 exercise 1.1 in the NCERT solutions for class 9 maths comprises a total of 6 questions, with 5 being short and 1 requiring a longer answer. These questions are relatively easy to solve.
We have provided the NCERT Maths solutions for Class 9 Chapter 1 Number Systems Exercise 1.1. Our team of subject experts has meticulously prepared these solutions, keeping in mind the convenience of students who can use them as a reference while solving problems. The solutions have been crafted in a manner that ensures easy comprehension for students. The introductory exercise of Number Systems Exercise 1.1 offers a comprehensive and step-by-step explanation of each answer to the questions presented in the NCERT textbook for Class 9.
NCERT Solutions for Class 9 Maths 2024
The NCERT solutions for class 9 maths, specifically chapter 1 exercise 1.1 on number systems, serve the purpose of helping students grasp the distinctions between natural, integer, and whole numbers. Additionally, these solutions provide guidance on correctly formatting real numbers and introduce the concept of calculating rational numbers between any two given numbers. Our expert teachers have meticulously prepared these solutions to assist you in your exam preparation.
By downloading our NCERT Solutions for Class 9 Maths Chapter – 1 today, you will be able to tackle all the important questions confidently and improve your exam score. We offer a free PDF download option for all the updated CBSE textbook’s NCERT Book Solutions across various subjects such as Science, Maths, English, etc. Therefore, studying subjects like Science and Maths will become easier when you have access to Vedantu’s NCERT Solution for Class 9 Science, Maths solutions, and solutions for other subjects exclusively available on our platform.
NCERT Solutions for Class 9 Maths Overviews 2024
| Article Name | NCERT Solutions for Class 9 Maths Exercise 1.1 Chapter 1, PDF Download Online |
| Category | Syllabus |
| Official Website | Check Here |
Access Answers to Maths NCERT Class 9 Chapter 1 – Number Systems Exercise 1.1
1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?
We know that a number is said to be rational if it can be written in the form p/q , where p and q are integers and q ≠ 0.
Taking the case of ‘0’,
Zero can be written in the form 0/1, 0/2, 0/3 … as well as , 0/1, 0/2, 0/3 ..
Since it satisfies the necessary condition, we can conclude that 0 can be written in the p/q form, where q can either be positive or negative number.
Hence, 0 is a rational number.
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2. Find six rational numbers between 3 and 4.
Solution:
There are infinite rational numbers between 3 and 4.
As we have to find 6 rational numbers between 3 and 4, we will multiply both the numbers, 3 and 4, with 6+1 = 7 (or any number greater than 6)
i.e., 3 × (7/7) = 21/7
and, 4 × (7/7) = 28/7. The numbers between 21/7 and 28/7 will be rational and will fall between 3 and 4.
Hence, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 are the 6 rational numbers between 3 and 4.
3. Find five rational numbers between 3/5 and 4/5.
Solution:
There are infinite rational numbers between 3/5 and 4/5.
To find out 5 rational numbers between 3/5 and 4/5, we will multiply both the numbers 3/5 and 4/5
with 5+1=6 (or any number greater than 5)
i.e., (3/5) × (6/6) = 18/30
and, (4/5) × (6/6) = 24/30
The numbers between18/30 and 24/30 will be rational and will fall between 3/5 and 4/5.
Hence, 19/30, 20/30, 21/30, 22/30, 23/30 are the 5 rational numbers between 3/5 and 4/5
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4. State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
True
Natural numbers- Numbers starting from 1 to infinity (without fractions or decimals)
i.e., Natural numbers= 1,2,3,4…
Whole numbers- Numbers starting from 0 to infinity (without fractions or decimals)
i.e., Whole numbers= 0,1,2,3…
Or, we can say that whole numbers have all the elements of natural numbers and zero.
Every natural number is a whole number; however, every whole number is not a natural number.
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(ii) Every integer is a whole number.
False
Integers- Integers are set of numbers that contain positive, negative and 0; excluding fractional and decimal numbers.
i.e., integers= {…-4,-3,-2,-1,0,1,2,3,4…}
Whole numbers- Numbers starting from 0 to infinity (without fractions or decimals)
i.e., Whole numbers= 0,1,2,3….
Hence, we can say that integers include whole numbers as well as negative numbers.
Every whole number is an integer; however, every integer is not a whole number.
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(iii) Every rational number is a whole number.
Solution:
False
Rational numbers- All numbers in the form p/q, where p and q are integers and q≠0.
i.e., Rational numbers = 0, 19/30 , 2, 9/-3, -12/7…
Whole numbers- Numbers starting from 0 to infinity (without fractions or decimals)
i.e., Whole numbers= 0,1,2,3….
Hence, we can say that integers include whole numbers as well as negative numbers.
All whole numbers are rational; however, all rational numbers are not whole numbers
NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.1 is the first exercise of Chapter 1 of Class 9 Maths. This exercise explains how to find rational numbers between two given numbers.
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Key Features of NCERT Solutions for Class 9 Maths Chapter 1 – Number Systems Exercise 1.1
- These NCERT Solutions assist you in resolving and reviewing all the questions from Exercise 1.1.
- Once you have studied the detailed solutions provided by our subject expert teachers, you will be able to achieve higher scores.
- The solutions adhere to the guidelines set by NCERT, ensuring that students are prepared accordingly.
- It encompasses all the significant questions that are relevant from an examination perspective.
NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.1 Tips
The NCERT solutions for class 9 maths chapter 1 exercise 1.1 provide a valuable opportunity to delve into the world of number systems. It is highly recommended that students thoroughly read each line of the chapter, paying special attention to the examples that offer clear explanations for solving problems in a logical manner.
Not only will these NCERT solutions for class 9 maths chapter 1 exercise 1.1 adequately prepare students for their board exams, but they will also prove beneficial for future competitive exams.
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Important Points Covered under NCERT Solutions Class 9 Maths Chapter 1 – Number Systems Exercise 1.1
Chapter 1 – Exercise 1.1 in the NCERT Solutions Class 9 Maths is the initial exercise that focuses on the calculation of rational numbers between two given numbers. It is recommended for students to pay close attention to the step-by-step solutions provided in this chapter as it will assist them in preparing for their board exam. Now, let’s explore the key concepts that students will gain from studying this chapter.
Below are some of the important points you will learn from this chapter.
- The difference between natural, integer, and whole numbers.
- Students will learn to calculate the rational numbers between any two given numbers.
- Every natural number is a whole number.
- Every integer is not a whole number.
- Every rational number is not a whole number.
Benefits of NCERT Solutions Class 9 Maths Chapter 1 – Number Systems (Exercise 1.1)
- By carefully studying the detailed explanations provided for each problem, you will gain a deeper comprehension of the underlying concepts.
- The NCERT Solutions for Class 9 Maths Chapter 1 (Exercise 1.1) serve as a valuable tool for students to review and practice all the questions in Exercise 1.1.
- In order to achieve high scores, it is essential to adhere to the step-by-step solutions offered by our team of subject expert teachers.
- These comprehensive NCERT solutions cover all the significant questions that are relevant from an examination perspective.
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NCERT Solutions for Class 9 Maths FAQ’S
Which is the toughest chapter in maths class 9?
Geometry is a subject that some students struggle with, while others may find difficulty in topics such as Surface area and Volume, Constructions, or Statistics. However, it is generally agreed upon that Geometry is the most challenging topic for the majority of students. Additionally, within the Geometry section, the chapter on Triangles is widely disliked among students studying class IX maths.
Which is the most important chapter in maths class 9 questions?
Polynomials is the chapter with the highest score. To achieve outstanding results on your exam, it is crucial to thoroughly study this particular chapter. It is highly recommended to practice a multitude of questions as mistakes in calculations significantly impact performance in this section.
Is class 9 very important?
Class 9 marks a significant milestone in a student's academic journey. During this stage, students are introduced to several new subjects and topics that require thorough preparation. It is crucial for students to pay proper attention and have access to comprehensive study materials in order to excel in these subjects.
Which is the most important chapter in maths class 9 questions?
Polynomials is the chapter that yields the highest scores. To achieve excellent results in your exam, it is essential to thoroughly study this chapter. Dedicate ample time to practicing a wide range of questions, as errors in calculations play a significant role in this particular chapter.
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