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

RD Sharma Solutions for Class 6 Maths Chapter 5: Understanding negative numbers and integers can feel tricky at first, but with the right help, it becomes easy and interesting. The RD Sharma Solutions for Class 6 Maths Chapter 5 are carefully prepared to support students in building a strong base in these important concepts. Aligned with the latest CBSE syllabus, these solutions offer complete and accurate guidance for school exam preparation.

Each solution is presented in a step-by-step manner, helping students develop better problem-solving skills and a deeper conceptual understanding. Whether you are practicing for exams or revising important topics, these solutions make learning about negative numbers and integers clear and simple. With RD Sharma's trusted methods, students can approach their studies with more confidence and perform better in mathematics.

RD Sharma Solutions for Class 6 Maths Chapter 5 - Overview

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

RD Sharma Solutions for Class 6 Maths Chapter 5: Negative Numbers and Integers offer a simple and effective way for students to understand important concepts like positive and negative numbers, addition and subtraction of integers, and comparing integers. Created by subject experts, these solutions are carefully crafted with step-by-step explanations that strictly follow the latest CBSE syllabus.

Students who need extra practice can also solve Class 6 Maths worksheets along with the RD Sharma Solutions. These worksheets are specially designed to strengthen problem-solving skills and make students comfortable with solving different types of integer-based problems. For quick revision anytime, students can access the Class 6 Maths PDF download, making it easier to review important topics on the go.

To support better learning, students are encouraged to refer to NCERT Solutions for Class 6 Maths as well. Together with the RD Sharma Class 6 full book PDF, these resources provide complete coverage of the syllabus, helping students stay ahead in their studies.

By practicing with the RD Sharma Solutions for Class 6 Maths Chapter 5, students will surely master the concept of negative numbers and integers and prepare well for exams with greater accuracy and confidence.

Download RD Sharma Solutions for Class 6 Maths Chapter 5 – Negative Numbers and Integers PDF Here

RD Sharma Solutions for Class 6 Maths Chapter 5 – Negative Numbers and Integers PDF is a complete guide for students who want to understand how negative numbers work and how integers are used in mathematics. This chapter covers important topics like representation on the number line, comparing integers, and operations involving negative numbers. It includes the following exercises:

👉 Exercise 5.1 – Introduction to Negative Numbers and Integers
👉 Exercise 5.2 – Representation of Integers on the Number Line
👉 Exercise 5.3 – Ordering and Comparing Integers
👉 Exercise 5.4 – Addition of Integers
👉 Exercise 5.5 – Subtraction of Integers

To make learning easier, we have provided a RD Sharma Class 6 Maths Chapter 5 PDF download. This PDF allows students to practice and revise important concepts at their own pace. Each solution is explained with clear step-by-step methods and is prepared strictly according to the latest CBSE syllabus.

The Negative Numbers and Integers PDF is an excellent tool for strengthening problem-solving skills, building strong conceptual understanding, and boosting confidence before school exams. With this handy resource, students can study anytime, revise quickly, and master the fundamentals of integers with ease.

Don't Miss:

• RD Sharma Solutions for Class 6 Maths Chapter 1
• RD Sharma Solutions for Class 6 Maths Chapter 2
• RD Sharma Solutions for Class 6 Maths Chapter 3
• RD Sharma Solutions for Class 6 Maths Chapter 4

Access answers to Maths RD Sharma Solutions for Class 6 Chapter 5: Negative Numbers and Integers

Exercise 5.1 PAGE: 5.5

1. Write the opposite of each of the following:

(i) Increase in population

(ii) Depositing money in a bank

(iii) Earning money

(iv) Going North

(v) Gaining a weight of 4kg

(vi) A loss of Rs 1000

(vii) 25

(viii) – 15

Solution:

(i) The opposite of Increase in population is Decrease in population.

(ii) The opposite of Depositing money in a bank is Withdrawing money from a bank.

(iii) The opposite of earning money is Spending money.

(iv) The opposite of Going North is Going South.

(v) The opposite of gaining a weight of 4kg is losing a weight of 4kg.

(vi) The opposite of a loss of Rs 1000 is a gain of Rs 1000.

(vii) The opposite of 25 is – 25.

(viii) The opposite of – 15 is 15.

2. Indicate the following by using integers:

(i) 25o above zero

(ii) 5o below zero

(iii) A profit of Rs 800

(iv) A deposit of Rs 2500

(v) 3km above sea level

(vi) 2km below level

Solution:

(i) 25o above zero is + 25o.

(ii) 5o below zero is – 5o.

(iii) A profit of Rs 800 is + 800.

(iv) A deposit of Rs 2500 is + 2500.

(v) 3km above sea level is + 3.

(vi) 2km below level is – 2.

3. Mark the following integers on a number line:

(i) 7

(ii) -4

(iii) 0

Solution:

The following integers are marked on a number line as given below:

4. Which number in each of the following pairs is smaller?

(i) 0, -4

(ii) -3 , 12

(iii) 8, 13

(iv) – 15, -27

Solution:

(i) 0 is greater than the negative integers

So we get – 4 < 0

Therefore, – 4 is smaller.

(ii) 12 is greater than -3 on a number line

So we get

-3 < 12

Therefore, – 3 is smaller.

(iii) 13 is greater than 8 on a number line

So we get 8 < 13

Therefore, 8 is smaller.

(iv) – 15 is greater than – 27 on a number line

So we get – 27 < – 15

Therefore, – 27 is smaller.

5. Which number in each of the following pairs is larger?

(i) 3, -4

(ii) – 12, – 8

(iii) 0, 7

(iv) 12, – 18

Solution:

(i) We know that 3 is larger than – 4 on a number line

So we get 3 > – 4

Therefore, 3 is larger.

(ii) We know that – 8 is larger than – 12 on a number line

So we get – 8 > – 12

Therefore, – 8 is larger.

(iii) We know that 7 is larger than 0 on a number line

So we get 7 > 0

Therefore, 7 is larger.

(iv) We know that 12 is larger than – 18 on a number line

So we get 12 > – 18

Therefore, 12 is larger.

6. Write all integers between:

(i) – 7 and 3

(ii) – 2 and 2

(iii) – 4 and 0

(iv) 0 and 3

Solution:

(i) The integers between – 7 and 3 are

– 6, – 5, – 4, – 3, – 2, – 1, 0, 1, 2

(ii) The integers between – 2 and 2 are

-1, 0, 1.

(iii) The integers between – 4 and 0 are

-3, -2, -1

(iv) The integers between 0 and 3 are

1, 2.

7. How many integers are between?

(i) – 4 and 3

(ii) 5 and 12

(iii) – 9 and – 2

(iv) 0 and 5

Solution:

(i) The integers between – 4 and 3 are

-3, -2, -1, 0, 1, 2

Therefore, number of integers between – 4 and 3 are 6.

(ii) The integers between 5 and 12 are

6, 7, 8, 9, 10, 11

Therefore, number of integers between 5 and 12 are 6.

(iii) The integers between – 9 and – 2 are

-8, -7, -6, -5, -4, -3

Therefore, number of integers between -9 and -2 are 6.

(iv) The integers between 0 and 5 are

1, 2, 3, 4

Therefore, number of integers between 0 and 5 are 4.

8. Replace * in each of the following by < or > so that the statement is true:

(i) 2 * 5

(ii) 0 * 3

(iii) 0 * – 7

(iv) – 18 * 15

(v) – 235 * – 532

(vi) – 20 * 20

Solution:

(i) 2 < 5

(ii) 0 < 3

(iii) 0 > – 7

(iv) – 18 < 15

(v) – 235 > – 532

(vi) – 20 < 20

9. Write the following integers in increasing order:

(i) – 8, 5, 0, -12, 1, -9, 15

(ii) – 106, 107, – 320, – 7, 185

Solution:

(i) – 8, 5, 0, -12, 1, -9, 15 can be written in increasing order as

– 12, – 9, – 8, 0, 1, 5, 15

(ii) – 106, 107, – 320, – 7, 185 can be written in increasing order as

-320, – 106, – 7, 107, 185.

10. Write the following integers in decreasing order:

(i) – 15, 0, -2, -9, 7, 6, -5, 8

(ii) -154, 123, -205, -89, -74

Solution:

(i) – 15, 0, -2, -9, 7, 6, -5, 8 can be written in decreasing order as

8, 7, 6, 0, -2, -5, -9, -15

(ii) -154, 123, -205, -89, -74 can be written in decreasing order as

123, – 74, – 89, – 154, – 205

11. Using the number line, write the integer which is:

(i) 2 more than 3

(ii) 5 less than 3

(iii) 4 more than – 9

Solution:

(i) 2 more than 3

In order to get the integer 2 more than 3

We draw a number line from 2 and proceed 3 units to the right to obtain 5

Therefore, 2 more than 3 is 5.

(ii) 5 less than 3

In order to get the integer 5 less than 3

We draw a number line from 3 and proceed 5 units to the left to obtain – 2

Therefore, 5 less than 3 is – 2.

(iii) 4 more than – 9

In order to get the integer 4 more than – 9

We draw a number line from – 9 and proceed 4 units to the right to obtain -5

Therefore, 4 more than – 9 is – 5.

12. Write the absolute value of each of the following:

(i) 14

(ii) – 25

(iii) 0

(iv) – 125

(v) – 248

(vi) a – 7, if a is greater than 7

(vii) a – 7, if a – 2 is less than 7

(viii) a + 4, if a is greater than -4

(ix) a + 4 if a is less than – 4

(x) |-3|

(xi) -|-5|

(xii) |12 – 5|

Solution:

(i) The absolute value of 14 is

|14| = 14

(ii) The absolute value of – 25 is

|-25| = 25

(iii) The absolute value of 0 is

|0| = 0

(iv) The absolute value of – 125 is

|-125| = 125

(v) The absolute value of – 248 is

|-248| = 248

(vi) The absolute value of a – 7, if a is greater than 7 is

|a – 7| = a – 7 where a > 7

(vii) The absolute value of a – 7, if a – 2 is less than 7 is

|a – 7| = – (a – 7) where a – 2 < 7

(viii) The absolute value of a + 4, if a is greater than -4 is

|a + 4| = a + 4 where a > – 4

(ix) The absolute value of a + 4 if a is less than – 4 is

|a + 4| = – (a + 4) where a < -4

(x) The absolute value of |-3| is

|-3| = 3

(xi) The absolute value of -|-5| is

-|-5| = 5

(xii) The absolute value of |12 – 5| is

|12 – 5| = 7

13. (i) Write 4 negative integers less than – 10.

(ii) Write 6 negative integers just greater than – 12.

Solution:

(i) The 4 negative integers less than – 10 are

– 11, – 12, – 13, – 14

(ii) The 6 negative integers just greater than – 12 are

-11, – 10, – 9, – 8, – 7, – 6

14. Which of the following statements are true?

(i) The smallest integer is zero.

(ii) The opposite of zero is zero.

(iii) Zero is not an integer.

(iv) 0 is larger than every negative integer.

(v) The absolute value of an integer is greater than the integer.

(vi) A positive integer is greater than its opposite.

(vii) Every negative integer is less than every natural number.

(viii) 0 is the smallest positive integer.

Solution:

(i) False. The smallest integer is 1.

(ii) True. 0 is neither positive nor negative so the opposite is 0.

(iii) False. Zero is an integer which is neither positive nor negative.

(iv) True. 0 is larger than – 1.

(v) False. The absolute value of an integer is the numerical value.

(vi) True. 3 is greater than – 3.

(vii) True. – 3 is less than 1.

(viii) False. 1 is the smallest positive integer.