RD Sharma Solutions for Class 6 Maths Chapter 5 Exercise 5.2 PDF

RD Sharma Solutions for Class 6 Maths Chapter 5 Exercise 5.2: RD Sharma Solutions for CBSE Class 6 Maths syllabus Chapter 5 Exercise 5.2 provide a detailed explanation of the topic "Negative Numbers and Integers," aligning with the latest exam pattern and syllabus. These solutions help students build a strong foundation in integer operations, which are crucial for higher classes and competitive exams. 

Practicing these step-by-step answers enhances problem-solving skills and conceptual clarity. The format and difficulty level of questions are similar to those seen in previous year papers, making them an excellent resource for exam preparation and revision. These solutions ensure students are well-prepared for their school exams and beyond.

What is Covered in Exercise 5.2?

Exercise 5.2 of RD Sharma Class 6 Maths Chapter 5 (Negative Numbers and Integers) focuses on introducing and reinforcing basic operations involving integers. Here’s a detailed breakdown of what is covered:

 1. Introduction to Number Line

• Understanding the placement of positive and negative integers on a number line.

• Interpreting movements (left for negative, right for positive).

 2. Comparison of Integers

• Identifying which number is greater or smaller.

• Using the number line to visually compare integers.

3. Ordering of Integers

• Arranging integers in ascending and descending order.

• Practice problems requiring logical sequencing.

 4. Representation of Integers

• Representing integers in real-life situations (like temperatures, heights, gains/losses).

• Writing statements and converting them into integer expressions.

 5. Addition of Integers Using Number Line

• Performing addition operations on integers by moving left or right on the number line.

• Special focus on cases like:

• Positive + Positive

• Negative + Negative

• Positive + Negative

 6. Properties of Integer Addition

• Commutative Property: a + b = b + a

• Associative Property: (a + b) + c = a + (b + 

• Identity Element: a + 0 = a

RD Sharma Solutions for Class 6 Chapter 5 Negative Numbers and Integers Exercise 5.2

RD Sharma Solutions for Class 6 Chapter 5 Negative Numbers and Integers Exercise 5.2 help students master integer operations through clear, step-by-step explanations. These solutions follow the CBSE syllabus. and exam pattern, making them perfect for revision and exam prep. Below, we have provided these solutions for your easy reference.

1. Draw a number line and represent each of the following on it:

(i) 5 + (-2)

(ii) (-9) + 4

(iii) (-3) + (-5)

(iv) 6 + (-6)

(v) (-1) + (-2) + 2

(vi) (-2) + 7 + (-9)

Solution:

(i) 5 + (-2)

From 0 move towards right of first five units to obtain + 5

So the second number is – 2 so move 2 units towards left of + 5 we get + 3

Therefore, 5 + (-2) = 3.

(ii) (-9) + 4

From 0 move towards left of nine units to obtain – 9

So the second number is 4 so move 4 units towards right of – 9 we get – 5

Therefore, (-9) + 4 = – 5.

(iii) (-3) + (-5)

From 0 move towards left of three units to obtain – 3

So the second number is – 5 so move 5 units towards left of – 3 we get – 8

Therefore, (-3) + (-5) = – 8.

(iv) 6 + (-6)

From zero move towards right of six units to obtain 6

So the second number is – 6 so move 6 units towards left of 6 we get 0

Therefore, 6 + (-6) = 0.

(v) (-1) + (-2) + 2

From zero move towards left of one unit to obtain – 1

So the second number is – 2 so move 2 units towards left of – 1 we get – 3

The third number is 2 so move 2 units towards right of – 3 we get – 1

Therefore, (-1) + (-2) + 2 = – 1.

(vi) (-2) + 7 + (-9)

From zero move towards left of two units to obtain – 2

So the second number is 7 so move 7 units towards right of – 2 we get 5

The third number is – 9 so move 9 units towards left of 5 we get – 4

Therefore, (-2) + 7 + (-9) = – 4.

2. Find the sum of

(i) -557 and 488

(ii) -522 and -160

(iii) 2567 and – 325

(iv) -10025 and 139

(v) 2547 and -2548

(vi) 2884 and -2884

Solution:

(i) -557 and 488

We get

-557 + 488

It can be written as

|-557| – |488| = 557 – 488 = 69.

(ii) -522 and -160

We get

-522 + (-160)

It can be written as

-522 – 160 = – 682

(iii) 2567 and – 325

We get

2567 + (-325)

It can be written as

2567 – 325 = 2242

(iv) -10025 and 139

We get

-10025 + 139

It can be written as

-10025 + 139 = -9886

(v) 2547 and -2548

We get

2547 + (-2548)

It can be written as

2547 – 2548 = -1

(vi) 2884 and -2884

We get

2884 + (-2884)

It can be written as

2884 – 2884 = 0

RD Sharma Solutions for Class 6 Maths Chapter 5 Exercise 5.2 PDF Download

Looking for RD Sharma Solutions for Class 6 Maths Chapter 5 Exercise 5.2 PDF Download? These solved answers help students understand integers and their operations, aligned with the latest syllabus and exam pattern. 

Practicing from these solutions boosts accuracy and confidence for school exams. The format also reflects concepts from previous year papers. Below, we have provided the PDF for easy download and effective revision.

Key Features of RD Sharma Solutions for Class 6 Maths Chapter 5 Negative Numbers and Integers Exercise 5.2

Here are the Key Features of RD Sharma Solutions for Class 6 Maths Chapter 5 – Negative Numbers and Integers (Exercise 5.2) in detailed pointers:

1. Concept Clarity with Step-by-Step Solutions

• Each question is solved in a detailed, step-by-step manner.

• Focus on building a clear understanding of how to work with negative numbers and integers.

 2. Aligned with Latest CBSE Syllabus

• Solutions follow the most recent CBSE Class 6 Maths syllabus.

• Ensures students are preparing as per the prescribed academic curriculum.

 3. Covers Exam-Relevant Questions

• The difficulty and style of problems are similar to what is asked in school exams and previous year papers.

• Ideal for scoring well in tests and assessments.

 4. Use of Number Line for Explanation

• Visual explanations using number lines help students grasp integer operations better.

• Especially useful for addition and comparison of integers.

 5. Practice for Real-Life Applications

• Includes integer-based problems from daily life contexts (e.g., temperature, height differences, profit/loss).

• Helps students apply mathematical thinking outside the classroom.

 6. Boosts Logical and Analytical Skills

• Solving these exercises enhances critical thinking and problem-solving skills.

• Encourages logical reasoning in selecting the correct operation.

 7. Exam-Oriented Preparation

• Solutions incorporate important concepts likely to be tested in exams.

• Reinforces understanding of commutative, associative, and identity properties of integer addition.