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RD Sharma Class 6 Solutions Chapter 5 - Negative Numbers and Integers (Ex 5.1) Exercise 5.1

Last updated date: 15th Apr 2024
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Vedantu’s Class 6 Chapter 5 - Negative Numbers and Integers RD Sharma Solutions (Ex 5.1) - Free PDF

Free PDF download of RD Sharma Class 6 Solutions Chapter 5 - Negative Numbers and Integers Exercise 5.1 solved by Expert Mathematics Teachers on Vedantu. All Chapter 5 - Negative Numbers and Integers Ex 5.1 Questions with Solutions for RD Sharma Class 6 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.

About the Chapter

If we talk about how Integers work in the real world, we can talk about how numbers, as positive and negative, are implemented in different things and we can observe them everywhere. 

One of the examples is measuring numerous elements in nature using Integers. In temperatures, speeds, surface levels, sound waves, and so many other mediums, integers are the numbers that effectively serve the purpose. Even bank balances, statistics of finances, scores in games, economic growth, population, and other statistical things use Integers as their measuring device. 

This Chapter in the NCERT Books provides several questions related to Negative Numbers and Integers. The exercises in the book use practical questions that help the students understand the concept better. 

After studying all these concepts, solving all the exercises in the NCERT Textbook, and making your ideas more transparent, you can explore one of the best reference books out there, RD Sharma's Mathematics for Class 6. This book provides additional questions that students can solve to strengthen their understanding of the chapter and its topics. The formulas, MCQs, and practical problem-solving questions in RD Sharma are a great addition to the questions provided in the NCERT Textbook.

List of Exercises in R.D. Sharma’s Mathematics for Class 6 - Negative Numbers and Integers

  • Exercise 5.1

  • Exercise 5.2

  • Exercise 5.3

  • Exercise 5.4

  • Objective Type Questions

Signing In and accessing all the solutions to these exercises is super fast and easy, you can also download the solutions as a PDF for offline use!

FAQs on RD Sharma Class 6 Solutions Chapter 5 - Negative Numbers and Integers (Ex 5.1) Exercise 5.1

1. What are some examples of Integers?

An Integer is a number that can be positive, negative, or zero but cannot be a fraction of a number with a decimal. It should be a whole number. 

Examples of numbers that ARE Integers are -3, 2, -7, 8, -16, and 9,945. 

Some Examples of numbers that ARE NOT integers are -3/4, -7.4, 1/9, 0.05. 

If we divide a fraction and the remainder is a zero, that fraction is an integer.  

For example, 10/5 is a fraction, which, when divided, will leave 0 as the remainder. (because 5 times two is 10); hence, it's an integer.

2. How can we find the difference between Integers and Non-Integers?

Let's understand this concept with an example. 

Suppose we have the numbers 1, -3, 6/7, 8.8, 2/3, 18/9, and 2.3. 

Positive numbers, Negative numbers, and Zero are identified as Integers. 

Looking at these numbers, we can see that 1 and -3 are Integers. Whereas some are fractions and decimals, hence they might not be integers. 

Now 6/7 and 2/3 cannot be integers because their remainders would not be zero if divided.  

The same can be said about 8.8 and 2.3 as we cannot write them as whole numbers. Even as fractions, they will not give a remainder of zero. 

But there are some fractions like 18/9 in the list above that, if divided, will leave Zero as a remainder which means we can say it is an integer. 

So we can say that upon dividing the numerator by the denominator, any fraction that yields a remainder that isn't equal to Zero is not an integer. The fraction is an integer if the remainder obtained is zero (i.e., exactly divisible). 

Using this concept, you can solve the exercises given in the NCERT Textbooks but also go further and explore the questions in books like RD Sharma, where the questions cover the even broader aspect of that same concept. If you need help solving the questions, you can find all the help here at Vedantu, where we have solutions, study materials, and much more content curated by experts that you can access online and download as a PDF with just a simple Sign In. 

3. What are the rules of Integers?

 The rules for integers are as follows: 

  • If two positive integers are added together, their sum is an integer.

  • If two negative integers are added together, their sum is also an integer.

  • If two positive integers are multiplied, their product is an integer. 

  • If two negative integers are multiplied, their product is an integer. 

  • If one positive and one negative integer are added, their sum is zero as they cancel each other out. 

  • If we multiply an integer and its reciprocal, their product will be 1.

4. What are the Properties of Integers?

Integers have many properties explained further in the NCERT Textbooks and here at Vedantu's study materials. But if we count them out, they are:

  • Property of Closure

  • Property of Identity 

  • Associative Property 

  • Distributive Property 

  • Commutative Property 

  • Additive Inverse Property 

  • Multiplicative Inverse Property.

5. Are the exercises for Negative Numbers and Integers in RD Sharma tougher than the NCERT exercises?

NCERT Textbooks will always be the most important books to study when preparing for an exam, but the notion of thinking that RD Sharma is tougher than NCERT is not valid. RD Sharma is just a pathway for students to explore the concepts further and solve more outside-the-box questions. These are not books made to test a student's understanding of the basics. They are books that provide extra material for students looking to delve more into the subject. 

All students can get the solutions without paying any fees as it is free. You can also download it in PDF Form. With solutions, you will surely clear your exam with flying colours.