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Rational Numbers

Rational Numbers

Chapter 1: JNVST Class 9 Mathematics Rational Numbers

JNVST Class 9 Mathematics Rational Numbers is one of the important chapters for students who are preparing for Navodaya Entrance Exams. Rational numbers help students understand fractions, decimals, integers, and number operations. Therefore, students should learn this chapter with clear concepts and regular practice. 


In the Navodaya Class 9 Mathematics Chapter, students learn how to identify, compare, add, subtract, multiply, and divide rational numbers. Moreover, this topic builds a strong base for higher-level mathematics. For this reason, JNVST Class 9 Mathematics Rational Numbers should be studied step by step. With simple examples and practice questions, students can understand the topic more easily. 


Therefore, for a better understanding, students can join the best online classes for Navodaya Vidyalaya  Class 9 at Veda Academy. We provide the best study material that is aligned with the updated JNV syllabus. JNVST Mock Tests, Model Papers, Notes, PYQs, and Important Questions.

What are Rational Numbers?

A rational number is a number that can be written in the form p/q, where p and q are integers, and q is not zero. Examples of rational numbers are as follows:

  • 1/2

  • 3/4

  • -5/7

  • 6

  • 0

Here, 6 can also be written as 6/1. Similarly, 0 can be written as 0/1. Thus, these are rational numbers. In Navodaya Class 9 Mathematics, rational numbers are used in many types of questions. Therefore, students should understand their basic rules carefully.

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Important Concepts in JNVST Class 9 Mathematics Rational Numbers

There are various concepts that are important; students must be aware of them before solving the problems:


Positive and Negative Rational Numbers: A rational number can be positive or negative. For example, 3/5 is positive, while -3/5 is negative. However, 0 is neither positive nor negative. Students should remember this simple rule while solving Navodaya Class 9 important questions. 


Addition and Subtraction: To add or subtract fractions, first find a common denominator. For example: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 

Similarly, 3/4 - 1/4 = 2/4 = 1/2. Therefore, students should practise these steps regularly.


Multiplication: To multiply rational numbers, multiply the numerators and denominators. For example: 2/3 × 4/5 = 8/15. The same rule works for negative numbers. However, students must remember the signs.


Division: To divide rational numbers, multiply the first number by the reciprocal of the second number. For example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Thus, learning reciprocals is very important for JNVST Class 9 Mathematics Rational Numbers.

Properties of JNVST Class 9 Mathematics Rational Numbers

Rational numbers have several useful properties. These properties make calculations easier 


Closure Property: The sum, difference, and product of two rational numbers are also rational numbers. Also, the quotient is rational when the divisor is not zero.


Commutative Property: Addition and multiplication are commutative. For example, 2/3 + 1/3 = 1/3 + 2/3. However, subtraction and division are not commutative.


Associative Property: Addition and multiplication are associative. For example: (1/2 + 1/3) + 1/6 = 1/2 + (1/3 + 1/6). These properties are useful in Navodaya Class 9 Mathematics Chapter 1 practice.


Also Check: Best Coaching for Navodaya Vidyalaya  Class 9 for Better JNVST Preparation

Why Practice JNVST Class 9 Mathematics Rational Numbers?

Regular practice improves speed and accuracy. Moreover, it helps students avoid common calculation mistakes. Students preparing with Veda Academy, which provides the best online classes for Navodaya Vidyalaya  Class 9, help students revise concepts through lessons, examples, and practice tests. Similarly, Veda Academy, the best coaching for Navodaya Vidyalaya  Class 9, can provide guided learning and regular doubt support. 

However, students should also practise on their own. As a result, they can become more confident before the examination. Also, they provide practise papers for subjects in their Veda Academy store, which students can purchase separately for their practise.

How to Prepare for Navodaya Class 9 Mathematics Chapter 1

First, learn the meaning of rational numbers. Next, understand the rules for addition, subtraction, multiplication, and division. Then, practise the properties. After that, solve Navodaya Class 9 important questions. Also, revise mistakes from previous practice tests.

Students using the best online classes for Navodaya Vidyalaya  Class 9 should make short notes. In addition, students looking for the best coaching for Navodaya Vidyalaya  Class 9 should choose learning support that gives enough practice. Finally, revise JNVST Class 9 Mathematics Rational Numbers before attempting a mock test.

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