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RD Sharma Class 7 Solutions Chapter 4 - Rational Numbers (Ex 4.4) Exercise 4.4

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IVSAT 2024

RD Sharma Class 7 Solutions Chapter 4 Exercise 4.4

The solutions to RD Sharma Class 7 Chapter 4 - Rational Numbers are meant to help students understand the concepts covered in the chapter and to provide them with practice exercises. The solutions are explained step-by-step and include examples wherever necessary.

Free PDF download of RD Sharma Class 7 Solutions Chapter 4 - Rational Numbers Exercise 4.4 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 4 - Rational Numbers Ex 4.4 Questions with Solutions for RD Sharma Class 7 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

RD Sharma Class 7 Solutions Chapter 4 Exercise 4.4

What is a Rational Number?

A rational number is a number that can be expressed as the quotient of two integers, a numerator, and a denominator. It can also be written as a decimal or a fraction. These numbers can be positive, negative, or zero.

 Examples of Rational Numbers:

\[\frac{-5}{6}, 2, \frac{-4}{3}, 0\]


Adding and Subtracting Rational Numbers:

To add or subtract rational numbers, we just need to follow the same steps as we would for any other addition or subtraction problem. We need to remember that when we work with fractions, the denominator (bottom number) never changes. Students must know the concept of reducing fractions and expanding fractions.


Reducing Fractions:

To reduce a fraction, we need to divide both the numerator and denominator by the same number. This number is called the Greatest Common Factor (GCF).


Expanding Fractions:

We need to expand the fraction if the numerator or denominator is a prime number. To expand the fraction, we just need to multiply both the numerator and denominator by the prime number.


What are the topics covered in RD Sharma Class 7 Chapter 4 - Rational Numbers?

The chapter covers the following topics:

1. Definition of rational numbers

2. Operations on rational numbers

3. Ordering of rational numbers

4. Properties of rational numbers

5. Numbers may be represented on the number line by a variety of methods.

6. Inequalities involving rational numbers

7. Applications of rational numbers

Each topic is explained with the help of appropriate examples. The students are also given practice exercises to solve in order to test their understanding of the concepts. The concept of representing a rational number and its equivalent decimal representation is explained in this section with the help of examples. The students are also given practice exercises to solve in order to test their understanding of this concept.

FAQs on RD Sharma Class 7 Solutions Chapter 4 - Rational Numbers (Ex 4.4) Exercise 4.4

1. How will RD Sharma Class 7 Solutions Chapter 4 Rational Numbers be helpful to students?

The solutions to RD Sharma Class 7 Chapter 4 - Rational Numbers are meant to help students understand the concepts covered in the chapter and to provide them with practice exercises. The solutions are explained step-by-step and include examples wherever necessary. The students will also be able to download a free PDF of all the solved questions in the chapter. This will help them to track their progress and enhance their understanding of the concepts. The solutions will also help the students to score more marks in their exams. We provide all the solutions to RD Sharma Class 7 Chapter 4 - Rational Numbers in detail with a stepwise explanation.

2. What is the difference between a rational number and an irrational number?

A rational number is the quotient of two integers, a numerator, and a denominator, and may be represented as such. It can also be written as a decimal or a fraction. These numbers can be positive, negative, or zero. An irrational number, on the other hand, cannot be expressed as the quotient of two integers or as a decimal or fraction. Students need to understand that rational numbers can be represented on a number line while irrational numbers cannot. Understanding the difference between rational and irrational numbers is important for students as they move on to higher grades.

3. What are some of the applications of rational numbers?

Rational numbers can be used in a variety of real-world applications. Some of these applications include financial mathematics, engineering, and physics. The concepts covered in RD Sharma Class 7 Chapter 4 - Rational Numbers will be helpful for students as they prepare for competitive examinations where knowledge of rational numbers is required. If students are facing any problems to solve the application of rational numbers, then they must contact Vedantu.com Experts to clear their doubts related to RD Sharma Class 7 Chapter 4 - Rational Numbers. Vedantu teachers help students to solve the questions from RD Sharma Class 7 Solutions Chapter 4 - Rational Numbers to score good marks.

4. How will the free downloadable pdf of RD Sharma Class 7 Solutions Chapter 4 - Rational Numbers help students?

The solutions to RD Sharma Class 7 Chapter 4 - Rational Numbers are meant to help students understand the concepts covered in the chapter and give them practice exercises. The solutions are explained step-by-step and include examples wherever necessary. It will also help the students to track their progress and enhance their understanding of the concepts. RD Sharma Class 7 Solutions Chapter 4 – Rational Numbers (Ex 4.4) Exercise 4.4 is an important chapter that helps students learn about equivalent decimal fractions, converting fractions to decimals and vice versa, use of a calculator for division of numbers, etc.

5. What is the difference between terminating and non-terminating decimal fractions?

A terminating decimal fraction is a rational number that has a finite number of digits after the decimal point. A non-terminating decimal fraction is a rational number that does not have a finite number of digits after the decimal point. These numbers can be either positive or negative. It is important for students to know the difference between these two types of decimal fractions, as they will come across them in their studies and in other real-world applications. Students can learn more about terminating and non-terminating decimal fractions by solving RD Sharma Class 7 Chapter 4 - Rational Numbers Exercise 4.5.