Chapter 3 Decimals


RD Sharma Class 7 Chapter 3 Decimals is one of the most important topics in your maths syllabus. Understanding decimals is very useful in daily life, from money transactions to measurements. To help students easily understand this chapter, RD Sharma Class 7 Solutions Chapter 3 Decimals provides clear explanations and step-by-step solutions. Whether you want to revise the chapter or practice for your exams, the Class 7 Maths Chapter 3 Decimals PDF is a perfect guide. This chapter teaches you how to work with decimal numbers, how to compare them, add them, subtract them, and solve different types of decimal-related problems.

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Also Check: RD Sharma Solutions for Class 7 Maths

If you want to download the Class 7 Maths Chapter 3 Decimals PDF, you will get all the solved exercises, examples, and extra questions in one file. This PDF is a handy resource for regular study and revision. The Class 7 Solutions of Chapter 3 Decimals are written in very simple words so that every student can understand the basic concepts clearly. It is also very helpful for clearing your doubts quickly without depending on others. Using the Class 7 RD Sharma Chapter 3 Decimals Solutions daily will help you become more confident in maths. It will also make it easier for you to understand similar topics in higher classes. Whether you are preparing for your school tests or final exams, these solutions will help you save time and learn smartly. So, don’t wait—download the RD Sharma Class 7 Solutions Chapter 3 Decimals PDF now and make your learning journey easy and interesting!

Download RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals

You can easily download RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals to make your maths practice simple and fun. This PDF has step-by-step solutions for all the questions in Chapter 3, explained in very easy words. With the help of this PDF, you can understand decimals, practice different types of sums, and clear all your doubts. The solutions are perfect for quick revision before exams and for daily practice. By using these solutions, you can improve your maths skills and get better marks in school.

Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals

Exercise 3.1 - Page 3.4

Question 1: Write the following as decimals:

  1. 8 divided by 100 = 0.08
  2. 20 + 9 divided by 10 + 4 divided by 100 = 20.94
  3. 23 + 2 divided by 10 + 6 divided by 1000 = 23.206

Question 2: Convert the following decimals into fractions:

  1. 0.04 = 4/100 = 1/25
  2. 2.34 = 234/100 = 117/50
  3. 0.342 = 342/1000 = 171/500
  4. 17.38 = 1738/100 = 869/50

Question 3: Change the following fractions to decimals:

  1. 23/10 = 2.3
  2. 25 + 1/8 = 25.125
  3. 1372/35 = 39.2
  4. 15 + 1/25 = 15.04

Question 4: Add the following numbers:

  1. 41.8 + 39.24 + 5.01 + 62.6 = 148.65
  2. 18.03 + 146.3 + 0.829 + 5.324 = 170.483

Question 5: Subtract the following:

  1. 9.756 - 6.28 = 3.476
  2. 48.1 - 0.37 = 47.73
  3. 108.032 - 86.8 = 21.232
  4. 100 - 26.32 = 73.68

Question 6: Subtract 3.547 from 7.2:

7.2 - 3.547 = 3.653

Question 7: What should be added to 36.85 to get 59.41?

59.41 - 36.85 = 22.56

Question 8: What should be subtracted from 17.1 to get 2.051?

17.1 - 2.051 = 15.049

Question 9: By how much should 34.79 be increased to get 70.15?

70.15 - 34.79 = 35.36

Question 10: By how much should 59.71 be decreased to get 34.58?

59.71 - 34.58 = 25.13

Exercise 3.2 - Page 3.8

Question 1: Find the product:

  • 4.74 × 10 = 47.4
  • 0.45 × 10 = 4.5
  • 0.0215 × 10 = 0.215
  • 0.0054 × 10 = 0.054

Question 2: Multiply by 100:

  • 35.853 × 100 = 3585.3
  • 42.5 × 100 = 4250
  • 12.075 × 100 = 1207.5
  • 100 × 0.005 = 0.5

Question 3: Multiply by 1000:

  • 2.506 × 1000 = 2506
  • 20.708 × 1000 = 20708
  • 0.0529 × 1000 = 52.9
  • 1000 × 0.1 = 100

Question 4: Multiply and place decimals properly:

  • 3.14 × 17 = 53.38
  • 0.745 × 12 = 8.94
  • 28.73 × 47 = 1350.31
  • 0.0415 × 59 = 2.4485

Question 5: Multiply and adjust decimals:

  • 1.07 × 0.02 = 0.0214
  • 211.9 × 1.13 = 239.447
  • 10.05 × 1.05 = 10.5525
  • 13.01 × 5.01 = 65.1801

Question 6: Find the area of a rectangle where the length is 5.5 meters and the breadth is 3.4 meters.

Solution:

  • Length = 5.5 meters
  • Breadth = 3.4 meters
  • Area of rectangle = length × breadth
  • Area = 5.5 × 3.4 = 18.7 m2

Question 7: The price of one book is Rs 25.57. What is the total cost of 24 books?

Solution:

  • Cost of 1 book = Rs 25.57
  • Total cost of 24 books = 25.57 × 24 = Rs 618.00

Question 8: A car can travel 14.75 km using 1 litre of petrol. How far can it go with 15.5 litres?

Solution:

  • Distance in 1 litre = 14.75 km
  • Distance in 15.5 litres = 14.75 × 15.5 = 228.625 km

Question 9: The price of 1 kg of rice is Rs 42.65. What is the price for 18.25 kg of rice?

Solution:

  • Cost of 1 kg rice = Rs 42.65
  • Cost of 18.25 kg rice = 42.65 × 18.25 = Rs 778.3625

Question 10: One metre of cloth costs Rs 152.50. What is the cost for 10.75 metres?

Solution:

  • Cost of 1 metre cloth = Rs 152.50
  • Cost of 10.75 metres = 152.50 × 10.75 = Rs 1639.375

Exercise 3.3 Solutions

Question 1: Divide by 10

(i) 142.45 ÷ 10 = 14.245 (Move decimal 1 place left)

(ii) 54.25 ÷ 10 = 5.425

(iii) 3.45 ÷ 10 = 0.345

(iv) 0.57 ÷ 10 = 0.057

(v) 0.0043 ÷ 10 = 0.00043

(vi) 0.004 ÷ 10 = 0.0004

Question 2: Divide by 100

(i) 459.5 ÷ 100 = 4.595 (Move decimal 2 places left)

(ii) 74.3 ÷ 100 = 0.743

(iii) 5.8 ÷ 100 = 0.058

(iv) 0.7 ÷ 100 = 0.007

(v) 0.48 ÷ 100 = 0.0048

(vi) 0.03 ÷ 100 = 0.0003

Question 3: Divide by 1000

(i) 235.41 ÷ 1000 = 0.23541 (Move decimal 3 places left)

(ii) 29.5 ÷ 1000 = 0.0295

(iii) 3.8 ÷ 1000 = 0.0038

(iv) 0.7 ÷ 1000 = 0.0007

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