RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 PDF

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5: RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 focuses on decimals, specifically the addition and subtraction of decimal numbers. These solutions are designed in alignment with the latest CBSE Class 6 Maths syllabus and follow the exam pattern to help students prepare effectively.

 Each problem is solved with clear steps, enhancing conceptual understanding and accuracy. The exercise includes numerical questions and real-life word problems, which are commonly seen in previous year papers.

Practicing these solutions strengthens foundational skills, builds confidence, and improves exam performance. It is a valuable resource for students aiming for high scores in Mathematics.

What is Covered in RD Sharma Solutions Class 6 Maths Chapter 7 Exercise 7.5?

Below we have provided the important topics covered in RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 -

Understanding Like and Unlike Decimals

• Like decimals: Decimals having the same number of digits after the decimal point.

• Unlike decimals: Decimals with a different number of digits after the decimal point.

• The exercise teaches converting unlike decimals into like decimals by adding trailing zeros.

Aligning Decimal Numbers Correctly

• Decimal points must be placed in a vertical line before performing addition or subtraction.

• Extra zeros may be added to the shorter number for alignment purposes.

Addition of Decimals

• Once aligned, students perform addition digit by digit starting from the rightmost place.

• Carry-over is applied as needed, just like in whole number addition.

Application-Based Word Problems

• Involves day-to-day contexts:

• Finding total cost

• Calculating chage

• Summing or comparing lengths, weights, and volumes

• These problems reinforce the concept and help in real-world application.

Mixed Practice Sets

• Some questions mix both addition and subtraction.

• Students must decide the correct operation to apply based on the problem.

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 Decimals

These solutions for RD Sharma Class 6 Maths Chapter 7 Exercise 7.5 provide detailed explanations for addition and subtraction of decimals. They help students strengthen their concepts, follow the correct methods, and prepare effectively as per the CBSE syllabus and exam pattern.

1. Fill in the blanks by using > or < to complete the following:

(i) 25.35 …… 8.47

(ii) 20.695 …… 20.93

(iii) 0.39 ……. 0.72

(iv) 0.109 ……. 0.83

(v) 0.236 ……. 0.201

(vi) 0.93 ……. 0.99

Solution:

(i) 25.35 …… 8.47

We know that the whole numbers 25 > 8

Hence, 25.35 > 8.47.

(ii) 20.695 …… 20.93

We know that both the whole numbers are equal

So by checking the tenth parts we know that 9 > 6

Hence, 20.695 < 20.93.

(iii) 0.39 ……. 0.72

We know that both the whole numbers are 0

So by checking the tenth parts we know that 7 > 3

Hence, 0.39 < 0.72.

(iv) 0.109 ……. 0.83

We know that both the whole numbers are 0

So by checking the tenth parts we know that 1 < 8

Hence, 0.109 < 0.83.

(v) 0.236 ……. 0.201

We know that both the whole numbers are 0

So by checking the hundredth parts we know that 3 > 0

Hence, 0.236 > 0.201.

(vi) 0.93 ……. 0.99

We know that both the whole numbers are 0

So by checking the hundredth parts we know that 3 < 9

Hence, 0.93 < 0.99.

2. Which is greater? Give reason for your answer?

(i) 1.008 or 1.800

(ii) 3.3 or 3.300

(iii) 5.64 or 5.603

(iv) 1.5 or 1.50

(v) 1.431 or 1.439

(vi) 0.5 or 0.05

Solution:

(i) 1.008 or 1.800

We know that the whole numbers are equal

So by comparing tenths place we know that 0 < 8

Hence, 1.008 < 1.800.

(ii) 3.3 or 3.300

We know that the whole numbers and tenths place are equal

Hence, 3.3 = 3.300.

(iii) 5.64 or 5.603

We know that the whole numbers are equal

So by comparing the hundredths place we know that 4 > 0

Hence, 5.64 > 5.603.

(iv) 1.5 or 1.50

We know that the whole numbers and tenths place are equal

Hence, 1.5 = 1.50.

(v) 1.431 or 1.439

We know that the whole numbers are equal

So by comparing thousandths place we know that 1 < 9

Hence, 1.431 < 1.439.

(vi) 0.5 or 0.05

We know that the whole numbers are equal

So by comparing tenths place we know that 5 > 0

Hence, 0.5 > 0.05.

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 PDF Download

Below we have provided the RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 – Decimals in a downloadable PDF format. This PDF includes step-by-step solutions to all questions from the exercise, covering the addition and subtraction of decimal numbers. 

These solutions are designed to help students understand the concepts clearly and practice effectively for exams. You can easily download and refer to this PDF anytime for your preparation and homework assistance.

Benefits of Using RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5

Here are the benefits of using RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.5 (Decimals):

1. Step-by-Step Explanations
   Each solution is broken down into simple, logical steps, helping students understand the correct method for solving decimal addition and subtraction problems.

2. Concept Clarity
   The solutions reinforce key concepts such as aligning decimal points, converting unlike decimals to like decimals, and handling carry/borrow operations.

3. Error Reduction
   Practicing with detailed solutions helps students avoid common mistakes, such as misalignment of decimal places or incorrect borrowing.

4. Homework and Exam Help
   The solutions act as a reliable guide for completing school assignments and preparing effectively for tests and exams.

5. Supports Self-Study
   Students can independently practice and learn at their own pace without always needing a teacher’s supervision.

6. Application-Based Problem Solving
   Includes word problems that connect decimal operations to real-life contexts, enhancing problem-solving skills.

7. Improved Speed and Accuracy
   Regular practice using the solutions helps students become faster and more accurate in calculations involving decimals.