# CBSE Class 7 Maths Revision Notes Chapter 9

## CBSE Class 7 Mathematics Chapter 9 Revision Notes – Rational Numbers

To make the chapter on “Rational Numbers” easy for the students, the experts at Extramarks have specially curated the Class 7 Mathematics Chapter 9 Revision Notes. The entire revision notes have been prepared in accordance with the latest CBSE guidelines and NCERT syllabus.

The candidates are thus advised to revise the Class 7 Mathematics Chapter 9 Revision Notes regularly in order to secure good marks. Furthermore, to make it easy for the students, the notes are written in simple language, and a number of examples have also been added for better clarity and understanding of the concept. The Class 7 Mathematics Chapter 9 Revision Notes will surely help the students in securing good marks. The students are thus advised to study the Class 7 Mathematics Chapter 9 Revision Notes along with the other Extramarks notes.

### Rational Numbers

A rational number is one that can be written as p/q, where p and q are both integers and q ≠ 0. Rational numbers include all integers and fractions.

Examples: 3/8, -2/7, 6/9, etc.

### Numerator and Denominator

In the expression p/q, p is the numerator, and q (≠0) is the denominator. Thus, in 3/-7, the numerator is 3 and the denominator is -7. A rational number can be written with different numerators and denominators.

### Equivalent Rational Numbers

We can create another rational number that is equivalent to the supplied rational number by multiplying or dividing the numerator and denominator of a rational number by a similar non-zero integer. They are defined as equivalent fractions.

### Positive and Negative Rational Numbers

Positive Rational Number: If a rational number numerator and denominator are positive, the number is said to be positive.

Negative Rational Number: If a rational number numerator or denominator is negative, the number is said to be negative. Therefore, a rational number is a negative rational number if either the numerator or the denominator is a negative integer.

### Standard Form of Rational Numbers

Suppose the denominator of a rational number is a positive integer, and the numerator and denominator share no factors other than 1. Furthermore, the negative signs can only be there in the numerator. In that case, the number is said to be in the standard form.

### Comparison of Rational Numbers

Every positive integer is bigger than zero, and every negative integer is smaller than zero. We can, thus, compare rational numbers by being aware of this fundamental rule. Below is a list of them.

• Each positive rational number exceeds 0.
• Each negative rational number is less than 0.
• A positive rational number is greater than a negative rational number.
• On a number line, every rational number is greater than any other rational number to its left.
• On a number line, every rational number is smaller than every other rational number to its right.

### Rational Numbers between two Rational Numbers

A number that falls between two rational numbers may either be a whole number or a rational number. Real numbers that can be represented as P/Q, where P and Q are any two integers and Q is not equal to 0, are referred to as rational numbers.

### Operations on Rational Numbers

The operations that can be performed on rational numbers are as follows.

• Division
• Subtraction
• Multiplication

## Class 7 Maths Chapter 9 Revision Notes – Repeat

### NCERT Mathematics Class 7 Chapter 9 Rational Numbers Notes Important Topics

The important topics that need to be covered under the Class 7 Mathematics Chapter 9 Notes are as follows.

• Rational Numbers
• Numerator and Denominator
• Equivalent Rational Numbers
• Positive and Negative Rational Numbers
• Standard Form of Rational Numbers
• Comparison of Rational Numbers
• Rational Numbers between Two Rational Numbers
• Operations on Rational Numbers
• What is a Rational Number?
• Types of Rational Numbers
• Arithmetic Operations on Rational Numbers
• Multiplicative Inverse of Rational Numbers
• Properties of Rational Numbers

### What is a Rational Number?

A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number “0” is also a rational number because there are various ways to express it, including 0/1, 0/2, 0/3, etc.

### Types of Rational Numbers

There are four types of rational numbers; the list includes:

• Integers
• Fractions that are made up of integers
• Terminating decimal numbers
• Non-terminating decimal numbers with infinitely repeating patterns

### Arithmetic Operations on Rational Numbers

There are four basic arithmetic operations that can be performed with rational numbers. They are as follows.

• Division
• Subtraction
• Multiplication

### Multiplicative Inverse of Rational Numbers

The multiplicative identity of a rational number is 1. It is because the product of a number and its multiplicative inverse is 1.

### Properties of Rational Numbers

The properties of rational numbers are as follows.

• Identity Property
• Inverse Property
• Closure Property
• Associative Property
• Distributive Property
• Commutative Property

### Did You Know?

By studying the Class 7 Mathematics Chapter 9 Revision Notes alongside the CBSE notes, the students will understand the chapter “Rational Numbers.” Their doubts will be cleared, and they will be able to easily solve the questions involved in the chapter.

All the important concepts of “Rational numbers” have been covered by the experts at Extramarks in the Class 7 Mathematics Chapter 9 Revision Notes.

### Benefits of Studying Extramarks Revision Notes

The students can better understand the main ideas of the crucial chapter “Rational Numbers” with the aid of the Class 7 Mathematics Chapter 9 Revision Notes. The notes that were written are thorough and adhere to CBSE regulations. The aspirants would comprehend the chapter better after reading these revision notes prepared by the Extramarks experts.

The main characteristics of the Class 7 Mathematics Chapter 9 Revision Notes are as follows.

• The wording is clear and simple to comprehend.
• The notes are written in accordance with the most recent recommendations by CBSE.
• There are plenty of instances provided to support the ideas.
• The Class 7 Mathematics Chapter 9 Revision Notes cover all the essential elements of the chapter. “Rational Numbers”
• Extramarks’ subject matter experts have carefully selected the entire note.

Thus, to secure a good score, the candidates are advised to revise the class 7 Mathematics Chapter 9 Notes regularly.

### Tips on How to Prepare for Exams Using Class 7 Mathematics Chapter 9 Notes on Rational Numbers

To secure good grades, here are some pro tips from the experts at Extramarks that you should be following.

• Read the NCERT chapter thoroughly.
• Go through the chapter guidelines.
• Regularly revise.
• Practice sums regularly.
• Give practice tests.

### Conclusion

The Class 7 Mathematics Chapter 9 Revision Notes prepared by Extramarks are comprehensive and easy to understand. To score good marks in the “Rational Number” chapter, the students are advised to read the Class 7 Mathematics Chapter 9 Revision Notes properly. With conceptual clarity and ample practice, understanding the chapter would be very easy and fun.

### 1. How many properties of rational numbers are there?

There are six properties of rational numbers:

• Identity Property
• Inverse Property
• Closure Property
• Associative Property
• Distributive Property
• Commutative Property

### 2. Are answers to the important questions for Class 7 Mathematics Chapter 9 available on Extramarks?

Yes, the solutions to the important questions that you need to practice for the examination are available on the Extramarks website. You can access them from Extramarks’ official website.

### 3. What are the different arithmetic operations that can be done on rational numbers?

Division, addition, subtraction, and multiplication can be done on all kinds of rational numbers.

### 4. What is the negative rational number?

It is said that a rational number is negative when its numerator or denominator is negative. Therefore, a rational number with a negative numerator or denominator is a negative rational number.