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RD Sharma Solutions for Class 7 Maths Chapter 4 Rational Numbers
By Ankit Gupta
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Updated on 15 Apr 2025, 12:36 IST
Mathematics is a subject that helps us understand the world around us. It teaches us how to think clearly, solve problems, and make smart decisions. In Class 7, one of the most important topics you will learn is Rational Numbers. This topic is part of Chapter 4 in the RD Sharma textbook. It introduces you to a special group of numbers that go beyond just whole numbers and fractions.
Rational numbers are numbers that can be written in the form of a fraction, where the top number (numerator) and the bottom number (denominator) are both integers, and the denominator is not zero. For example, 3/4, -5/2, and 7 are all rational numbers. These numbers can be positive, negative, or even zero. Learning about rational numbers helps you understand how to work with numbers that are not whole, which is very important in real life.
The RD Sharma Solutions for Class 7 Rational Numbers are designed to help you understand each concept clearly and easily. The solutions cover every exercise question from the textbook, with step-by-step explanations. This makes it easier for students to follow along and practice at their own pace. Whether you are solving simple problems like finding the numerator and denominator or working with addition and subtraction of rational numbers, these solutions will guide you through each step.
Do Check: RD Sharma Solutions for Class 7
The language used in these solutions is simple and student-friendly. Even if you find maths a bit difficult, these solutions will make the topic of rational numbers easier to understand. They also help you prepare well for your exams by giving you clear methods to solve each type of question. By practicing regularly with these solutions, you can build confidence and improve your marks in maths.
In short, RD Sharma Solutions for Class 7 Rational Numbers are a great support for every student. They not only help you do well in school but also build a strong foundation in mathematics for higher classes. If you want to understand rational numbers in a simple and effective way, these solutions are the perfect companion to your textbook.
Download RD Sharma Solutions for Class 7 Maths Chapter 4 Rational Numbers PDF Here
RD Sharma Class 7 Chapter 4 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 4 PDF.
Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 4 Rational Numbers
In this chapter, students will learn about decimals and how to perform basic operations with them. The solutions provided here are detailed and easy to follow, helping students understand each concept thoroughly.
Q1. Write the numerators of these rational numbers:
- (-7/5) → Numerator: -7
- (14/-4) → Numerator: 14
- (-17/-21) → Numerator: -17
- (8/9) → Numerator: 8
- 5 → Numerator: 5
Q2. Write the denominators of these rational numbers:
- (-4/5) → Denominator: 5
- (11/-34) → Denominator: -34
- (-15/-82) → Denominator: -82
- 15 → Denominator: 1
- 0 → Denominator: any non-zero number
Q3. Find the rational number with:
Numerator = (-3) × 4 = -12
Denominator = (34 - 23) × (7 - 4) = 11 × 3 = 33
So, the rational number is: -12/33
Q4. Convert these rational numbers into integers:
(7/1), (-12/1), (34/1), (-73/1), (95/1) → Integers are: 7, -12, 34, -73, 95
Q5. Write these integers as rational numbers:
-15 → -15/1
17 → 17/1
85 → 85/1
-100 → -100/1
Q6. Find a rational number with:
Smallest 3-digit number = 100
Largest 4-digit number = 9999
So, the rational number is: 100/9999
Q7. Separate positive and negative rational numbers from this list:
List: (-5/-7), (12/-5), (7/4), (13/-9), 0, (-18/-7), (-95/116), (-1/-9)
Positive: (-5/-7), (-18/-7), (7/4), (-1/-9)
Negative: (12/-5), (13/-9), (-95/116)
Q8. Find which numbers are positive:
- (-8/7) → Negative
- (9/8) → Positive
- (-19/-13) → Positive
- (-21/13) → Negative
Positive Rational Numbers: (9/8), (-19/-13)
Q9. Find which numbers are negative:
- (-3/7) → Negative
- (-5/-8) → Positive
- (9/-83) → Negative
- (-115/-197) → Positive
Negative Rational Numbers: (-3/7), (9/-83)
FAQs on RD Sharma Solutions for Class 7 Maths Chapter 4 Rational Numbers
What are rational numbers in Class 7 Maths?
Rational numbers are numbers that can be written in the form of p/q, where p and q are integers, and q is not zero. These include positive numbers, negative numbers, zero, and fractions.
Why should I use RD Sharma solutions for the chapter on Rational Numbers?
RD Sharma solutions explain each problem step-by-step, making it easier to understand the logic behind every answer. They help you solve textbook exercises, prepare for exams, and clear your concepts.
Are all exercises of Chapter 4 covered in the RD Sharma Solutions?
Yes, the solutions include all exercises and questions from Chapter 4 of the RD Sharma Class 7 textbook. This includes questions on identifying rational numbers, operations on rational numbers, and solving word problems.
Do I need to memorize the solutions?
No, it is better to understand the steps and practice regularly. The RD Sharma solutions are designed to help you understand the method, not just memorize the answer.
Are these solutions useful for school exams and tests?
Yes, RD Sharma solutions follow the school syllabus and exam pattern. Practicing these solutions helps you score better marks in class tests, unit tests, and final exams.
What types of questions are covered in Chapter 4 solutions?
The chapter includes questions on:
- Identifying numerator and denominator
- Comparing rational numbers
- Addition, subtraction, multiplication, and division
- Rational numbers on the number line
- Word problems
Are these solutions easy to understand for average students?
Absolutely! The language used is simple and clear, and each step is explained so that even average students can easily follow and learn.
Can these solutions help in building a strong foundation for higher classes?
Yes, understanding rational numbers well is important for higher-level maths. These solutions will help you build strong basics that are useful in Class 8, 9, and beyond.