RD Sharma Solutions for Class 7 Maths Chapter 5 Operations on Rational Numbers

Mathematics becomes more interesting when we understand how to deal with different types of numbers. In Class 7, students learn about a new kind of number called rational numbers. These are numbers that can be written in the form of a fraction, where both the top and bottom numbers are integers (whole numbers), and the bottom number is not zero. Chapter 5 of RD Sharma’s Class 7 Maths book focuses on Operations on Rational Numbers, which includes adding, subtracting, multiplying, and dividing rational numbers.

This chapter is important because rational numbers are used in many parts of maths and real life. For example, when we deal with money, temperatures, distances, or marks that include fractions or negative values, we are using rational numbers. So, learning how to perform different operations on them helps us become better at solving real-world problems.

RD Sharma’s book explains these operations in a very simple and step-by-step way. It starts by helping students recall the basic properties of integers and fractions. Then it moves on to show how rational numbers behave under addition, subtraction, multiplication, and division. Special rules and shortcuts are explained clearly so students don’t get confused. The book also includes many solved examples to help students understand the method before trying the questions on their own.

The RD Sharma Solutions for Class 7 Maths Chapter 5 provided here are designed to help students solve textbook questions easily. These solutions explain every step in simple words, making it easy to understand even for students who find maths challenging. With clear explanations and step-by-step working, students can learn how to approach each problem confidently.

These solutions are useful not only for doing homework but also for revision before exams. They help students check their answers, understand where they might have made a mistake, and learn the correct method. By practising these solutions regularly, students can build a strong foundation in rational numbers and improve their overall performance in mathematics.

In short, this chapter is a key part of the Class 7 Maths syllabus, and understanding it well will help students in higher classes too. The RD Sharma solutions act as a reliable guide to help them every step of the way.

Download RD Sharma Solutions for Class 7 Maths Chapter 5 Operations on Rational Numbers PDF Here

RD Sharma Class 7 Chapter 5 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 5 PDF.

Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 5 Operations on 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. Add the following rational numbers:

1. (-5/7) + (3/7) = (-2/7)
2. (-15/4) + (7/4) = (-8/4) = -2
3. (-8/11) + (-4/11) = (-12/11)
4. (6/13) + (-9/13) = (-3/13)

Q2. Add these rational numbers:

1. (3/4) + (-3/5) = (15 - 12)/20 = 3/20
2. -3 + (3/5) = (-15 + 3)/5 = -12/5
3. (-7/27) + (11/18) = (-14 + 33)/54 = 19/54
4. (31/-4) + (-5/8) = (-62 - 5)/8 = -67/8

Q3. Simplify:

1. (8/9) + (-11/6) = (16 - 33)/18 = -17/18
2. (-5/16) + (7/24) = (-15 + 14)/48 = -1/48
3. (1/-12) + (2/-15) = (-5 - 8)/60 = -13/60
4. (-8/19) + (-4/57) = (-24 - 4)/57 = -28/57

Q4. Add and write the answer as a mixed number:

1. (-12/5) + (43/10) = (-24 + 43)/10 = 19/10 = 1 9/10
2. (24/7) + (-11/4) = (96 - 77)/28 = 19/28
3. (-31/6) + (-27/8) = (-124 - 81)/24 = -205/24 = -8 13/24

Q5. Subtract the first number from the second:

1. (5/8) - (3/8) = 2/8 = 1/4
2. (4/9) - (-7/9) = 11/9
3. (-9/11) - (-2/11) = -7/11
4. (-4/13) - (11/13) = -15/13

Q6. Calculate the following:

1. (2/3) - (3/5) = (10 - 9)/15 = 1/15
2. (-4/7) - (2/-3) = (-12 + 14)/21 = 2/21
3. (4/7) - (5/7) = -1/7
4. -2 - (5/9) = (-18 - 5)/9 = -23/9

Q7. Find the missing number:

If the sum is 5/9 and one number is 1/3, the other is 2/9.

Q8. Find the unknown number:

If the total is -1/3 and one number is -12/3, the other is 11/3.

Q9. Total is -4/3, one number is -5, find the other:

Other number is 11/3.

Q10. Sum is -8, one number is -15/7:

The other number is -41/7.

Q11. What to add to -7/8 to get 5/9?

Required number is 103/72.

Q12. What to add to -5/11 to get 26/33?

Required number is 41/33.

Q13. What to add to -5/7 to get -2/3?

Required number is 1/21.

Q14. What number to subtract from -5/3 to get 5/6?

Required number is -15/6.