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# RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4A) Exercise 4.1

Last updated date: 19th Jun 2024
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## RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4A) Exercise 4.1 - Free PDF

Free PDF download of RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4A) Exercise 4.1 solved by Expert Mathematics Teachers on Vedantu. All Exercise 4.1 Questions with Solutions for Class 7 RS Aggarwal to help you revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Vedantu. is No.1 Online Tutoring Company in India Provides you Free PDF download of NCERT Maths Class 7 solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter wise Questions with Solutions to help you revise the complete Syllabus and Score More marks in your examinations. Register Online for Class 7 Science tuition on Vedant to score more marks in the CBSE board examination.

The students often get confused when it comes to understanding or identifying a particular number as a rational number. The RS Aggarwal Solutions can help the students learn the concept of rational numbers along with clarifying all their doubts that they usually face while identifying the rational numbers from the number series.

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## What is Considered a Rational Number?

It is very important to understand the concept of rational numbers in the first place, before identifying any number as the same. But before understanding the concept of rational numbers the students must have a clear idea of fractions and integers because these two are the main components of a rational number.

The rational numbers can be positive or negative in values depending on the positive or negative integers that they include. The rational numbers can be represented with the use of fractions where there will be one denominator and one numerator. Rational numbers can be of negative value if one of the components is negative in value. If the numerical value of the numerator and denominator are presented with opposite signs that means the value of the rational number will be negative.

Another important fact about rational numbers is that the denominator can never be zero. In order to be identified as a rational number, it should be written as fractions where the denominator will be 1.

### Importance of Learning the Concept of Rational Numbers

Having a good knowledge of the number system is very important for a student who wants to pursue a higher academic career in mathematics and that is why learning the concepts of the decimal number system, binary number system and the concept of rational numbers is important for the learner.

Another important fact to remember here is that ‘0’ can also be considered a rational number. As we can represent 0 as 01 to represent it as a rational number. Any mathematical concept is a fun thing to learn if the learning process is enjoyable.

## FAQs on RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4A) Exercise 4.1

1. What are the important facts about rational numbers?

A rational number consists of one numerator and one denominator and can be written as a fraction. Rational numbers can also include integers. Integers can be positive or negative but they should be whole numbers and in the case of rational numbers, they can be written with the help of a decimal number system or by using a fraction.

2. Can a rational number be negative in value?

Since a rational number consists of one numerator and one denominator, we all know that integers can be positive or negative in values, so rational numbers can have negative values if one of the components is of negative value. For example, if any one among the numerator or the denominator is of negative value and they are represented with opposite signs then the value of the rational number will be negative.

3. What is the simple method to identify the irrational numbers from number series?

The simple method to differentiate between rational and irrational numbers is to look for the presence of integers or fractions. Rational numbers will be written either with the help of fractions or in a decimal number system. Also, find out that if the number is presented with integers that can be positive whole numbers or negative whole numbers. Another important fact to remember is that an irrational number will be presented with additional signs like Pi or square root.

4. Is there any way to prove a number as a rational number?

The best way to prove a number as a rational one is to write the numerical value with the help of a fraction or as a ratio of two different integers. Rational numbers can be written with the help of fractions where the denominator will be one. Since all the integers, whether they are positive or negative in value, can be written by the use of a fraction where the denominator will be 1, it is easy to prove that all integers can be considered rational numbers. But the square root of any number or a number that is presented with the pi symbol cannot be written using a fraction, that is why they are irrational numbers.

5. Can students consult the NCERT books to understand the concept of rational numbers?

The NCERT books can be the best companions of the students who want to understand the concept in a lucid language and who are in search of books that can provide them with an opportunity to put their newly learned skills to good use. The students can now download the printable documents on the website of Vedantu free of cost. The students can solve the questions provided in the practice sets for better preparation.