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

## 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.