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Learn Representation of integers and rational numbers

Plotting Integers and Rational Numbers on a Line video thumbnail

Plotting Integers and Rational Numbers on a Line

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Vijay
(48)
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In the CBSE Class 9 Mathematics curriculum, the "Number Systems" chapter introduces students to the fundamental concept of visually placing numbers on a continuous line. Understanding the representation of integers and rational numbers on a number line is an essential building block for higher mathematics. Simply put, a number line is a straight, one-dimensional line where every point corresponds to a unique real number. While integers are whole numbers (positive, negative, and zero), rational numbers are numbers that can be expressed as a fraction, perfectly highlighting the exact fractional spaces that exist between the whole numbers.

To accurately represent these numbers, we must always start with a fixed reference point called the origin, denoted by 0. Positive integers (1, 2, 3...) are plotted at equal, consistent intervals to the right of the origin, while negative integers (-1, -2, -3...) are placed to the left. When plotting a rational number, which is written in the form p/q (where p and q are integers and q ≠ 0), the denominator q tells us how many equal segments the space between two consecutive integers is divided into. The numerator p tells us how many of these fractional steps to take from zero. For example, to plot 3/4, you divide the gap between 0 and 1 into four equal parts, and move three steps to the right.

Representing Integers and Rational Numbers Mapping exact locations by dividing unit lengths into equal parts Rational Number -3/2 Halfway between -1 and -2 Rational Number 3/4 3 steps of 1/4 from 0 -2 -1 0 1 2 Origin Negative Numbers Positive Numbers

The diagram above visually walks you through this exact mathematical process. The central point is clearly marked as the origin (0) in blue, with standard integers (-2, -1, 1, 2) positioned at equal distances. Notice how the positive gap between 0 and 1 is segmented into four equal pieces to accurately pinpoint the rational number 3/4 (highlighted in green). Similarly, on the negative side, the improper fraction -3/2 (which equals -1.5) is plotted precisely halfway between -1 and -2 (highlighted in red). In your CBSE Class 9 school exams, you will frequently be asked to locate such points or find specific rational numbers between two given numbers. Mastering this visual mapping technique is an essential tool for scoring full marks in these geometry and number system questions.

Navigating through complex rational numbers and mastering the number line can sometimes feel overwhelming for students. If you find these fundamental math concepts challenging, seeking guided support can make a tremendous difference in your confidence and grades. Explore UrbanPro to connect with highly experienced and verified CBSE Class 9 Mathematics tutors. Whether you prefer the convenience of personalized online classes or the structured environment of local offline tuition, UrbanPro is India's most trusted platform to find the perfect educator who can help you build strong mathematical foundations and easily ace your exams.


Other Concepts in Number Systems


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Plotting Integers and Rational Numbers on a Line video thumbnail

Plotting Integers and Rational Numbers on a Line

CBSE - Class 9>Mathematics>Number Systems>Representation of integers and rational numbers

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Vijay
(48)
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Plotting Integers and Rational Numbers on a Line video thumbnail

Plotting Integers and Rational Numbers on a Line

CBSE - Class 9>Mathematics>Number Systems>Representation of integers and rational numbers


Plotting Integers and Rational Numbers on a Line video thumbnail

Plotting Integers and Rational Numbers on a Line

CBSE - Class 9>Mathematics>Number Systems>Representation of integers and rational numbers

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Saurav
(17)


Top Tutors who teach Representation of integers and rational numbers

(68)
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locationImg Sector 92, Gurgaon
20 yrs of Exp 20 students
greenClock 1277 hrs of classes completed
rsIcon 800 per hour
Teaching mathematics since last 20 years. Doing research on Vedic mathematics
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Teaching since last 20 years

Nandini Mishra

Amit ji is a fantastic teacher. My daughter is very happy with her studies. He is exactly what she needed, a teacher with deep understanding of his subject and a very good communicator. If there is one gripe that I may mention, it's time. We would love to have more classes to cover Physics, but he is completely booked for his time. I would highly recommend him. Thank you.

Skills: Mathematics , Physics and more
Also teaches: Class 12 Tuition, BSc Tuition and more

Sai V. Class 9 Tuition trainer in Madappanahalli
(138)
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locationImg Itagalpura Main Rd, Madappanahalli
17 yrs of Exp 43 students
greenClock 3515 hrs of classes completed
rsIcon 400 per hour
MSc, BEd , (Phd), Member of Royal Society UK
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I gained extensive experience in delivering high-quality education following the CBSE/ICSE curriculum. My key responsibilities included: Classroom Teaching: Effectively taught Mathematics, Physics and Chemistry to students of classes IX, ensuring alignment with the CBSE/ ICSE syllabus and fostering a deep understanding of key concepts. Curriculum Planning: Designed and implemented lesson plans that adhered to the CBSE guidelines, ensuring comprehensive coverage of topics while keeping in mind the varying learning needs of students. Student Assessment: Created and administered tests, quizzes, and assignments in accordance with the CBSE exam pattern. Monitored student performance and provided constructive feedback to facilitate continuous improvement. Interactive Learning: Encouraged an interactive classroom environment, integrating various teaching aids such as multimedia presentations, hands-on activities, and group discussions to enhance student engagement and understanding. Preparation for Board Exams: Provided focused support for students appearing for their CBSE/ICSE board exams by conducting regular revision sessions, mock tests, and personalized guidance to help them excel. Parental Communication: Maintained regular communication with parents regarding student progress, attendance, and overall development. Organized parent-teacher meetings to ensure a collaborative approach to student growth. Co-curricular Involvement: Actively participated in school events, projects, and extracurricular activities, fostering holistic development among students. Professional Development: Engaged in continuous professional development through workshops and CBSE training programs to stay updated with the latest educational practices and policies.

Skills: Mathematics , Physics and more

(59)
superTutorSuper Tutor
locationImg Sector 5, Dwarka, Delhi
10 yrs of Exp 32 students
greenClock 1150 hrs of classes completed
rsIcon 500 per hour
10 Yrs in Teaching, Conduct Batch Of Two Kids, One-to-One classes. ShortTermPrep & LongTermClasses.
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I teach Math and Science to 8th-12th standard students and have been teaching for more than 10 years. Batch of 2 Students: I conduct these small batches with a pair of students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). Works for those students/parents who are looking for individual attention for their kids but still want it to be a little affordable. *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 4500/- per month/12 classes. Batch of 6 Students: I conduct these small batches with 5-6 students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). *4 classes per week (So 16 a month) *Maths and Science *Fee Rs. 4000/- per month/16 classes. I will start the classes immediately once the first kid enrolls. ------------------------------------------------------------------------------- Individual/Private/One-to-One classes: I conduct these one to one classes for those students willing to have one to one setup (I cover all popular boards CBSE, ICSE, IGCSE etc.). *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 7000/- per month/12 classes. ------------------------------------------------------------------------------- I took classes and batches in different institutions.

Surabhi rai

The teacher is very good. He understands the students strength and weakness and decides the pace of learning. He also tries to make the student comfortable and at ease with his/her capacity and then works on the child. It is not just Math he works on but the child's confidence and comfort with the subject. Highly recommended.

Skills: Mathematics , Physics and more
Also teaches: Python Training, Spoken English and more

Avishake Chatterjee Class 9 Tuition trainer in Kolkata
(62)
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locationImg Behala, Kolkata
8 yrs of Exp 7 students
greenClock 947 hrs of classes completed
rsIcon 700 per hour
MATHS EXPERT having an experience of 6+years
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As a passionate mathematics teacher, I have always enjoyed imparting knowledge to others. I am a B.Tech graduate in Electronics and Communication. I have been teaching mathematics for over four years, and my love for the subject has grown stronger with time. I started teaching as a part-time tutor while pursuing my engineering degree and fell in love with the profession. After completing my degree, I worked with Byjus, one of the leading Edtech companies in India, as a mathematics teacher for two years. While I enjoyed my time at Byju's, I could do more as a teacher and wanted to explore new avenues. I joined Vedantu, an online learning platform, where I have been teaching mathematics for the last two years. I started my journey as a math teacher out of pure passion. Mathematics has always been my favourite subject, and I enjoyed solving problems and equations from a young age. As I grew older, I realised I had a natural talent for teaching, and I decided to pursue it as a career. Currently, I provide mathematics classes for students from sixth to twelfth for all boards, including ICSE, CBSE, and West Bengal. I teach offline and online classes, each lasting for one and a half hours. I use interactive tools such as Zoom, Pentab, and One Note to make my lessons engaging and interactive for my students. To help my students excel in mathematics, I provide them with reference books, notes, and in-built assignments to test their knowledge. I also conduct monthly tests to assess their progress and identify improvement areas. Teaching on UrbanPro has allowed me to interact with students from different parts of the country and help them realise their full potential in mathematics. I want to continue making a positive impact in the lives of my students and help them develop a love for mathematics, just like I did

Aaa Mukherjee

Avishake Sir is an exceptional maths teacher! Engaging, patient, and effective. He break down complex concepts into easy-to-understand bits , provide individual attention and boost confidence. Highly recommended!"

Skills: Mathematics
Also teaches: Class I-V Tuition, Class 11 Tuition and more

(25)
superTutorSuper Tutor
locationImg Rohini Sector-24, Delhi
20 yrs of Exp 10 students
greenClock 1397 hrs of classes completed
rsIcon 450 per hour
Experienced Maths teacher with more than 20 years of experience.
Online Classes Online Classes

I am a teacher and I have been teaching for the past 20 years. l am presently teaching in a school. l have done MSc in Maths and have taught many students.

Amit Kumar

Thanks Ma'am for supporting Anvi in the subject. She has been getting more comfortable and relaxed with the theory and concepts in mathematics. Her fear is waning away and she shows an increased interest in the subject. I will definitely recommend you to all prospective parents. Thanks again!

Skills: Mathematics , Physics and more
Also teaches: Class 8 Tuition, Class 7 Tuition and more

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Other Subjects in CBSE - Class 9


FAQ

What is the meaning of Representation of integers and rational numbers?

It refers to a specific mathematical method or property in Number Systems used to solve problems involving Representation of integers and rational numbers.

Why is Representation of integers and rational numbers important for CBSE - Class 9 exams?

This concept is crucial for the exams as questions related to Number Systems and specifically Representation of integers and rational numbers are very common. It helps secure marks in the section effectively.

Is Representation of integers and rational numbers part of the latest NCERT syllabus?

Yes, Representation of integers and rational numbers is an integral part of the CBSE - Class 9 NCERT Mathematics syllabus. It is a key topic covered in the Number Systems chapter.

What are common mistakes students make with Representation of integers and rational numbers?

Students often miss the minute details or fundamental definitions of Representation of integers and rational numbers. Regular revision and practice are needed to master the nuances.

How should I approach learning Representation of integers and rational numbers?

Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.

How can UrbanPro help me understand Representation of integers and rational numbers better?

UrbanPro connects you with experienced Mathematics tutors who can explain Representation of integers and rational numbers with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.

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