NCERT Solutions for Class 6 Maths Chapter 10 - The Other Side of Zero Exercise 10.3

Exercise 10.3

1. Suppose you start with ₹ 0 in your bank account, and then you have credits of ₹ 30, ₹ 40, and ₹ 50, and debits of ₹ 40, ₹ 50, and ₹ 60. What is your bank account balance now? 

Ans: Given 

Credits = ₹ 30 + ₹ 40 + ₹ 50 = ₹ 120

Debits = ₹ 40 + ₹ 50 + ₹ 60 = ₹ 150

Therefore balance = Credits - Debits 

= ₹ 120 - ₹ 150

= - ₹ 30

Hence, your bank account balance is - ₹30.

2. Suppose you start with `0 in your bank account, and then you have debits of ₹ 1, 2, 4, 8, 16, 32, 64, and 128, and then a single credit of ₹ 256. What is your bank account balance now? 

Ans: Given

Debits = ₹ 1 + ₹ 2 + ₹ 4 + ₹ 8 + ₹ 16 + ₹ 32 + ₹ 64 + ₹ 128 = ₹ 255

Credit = ₹ 256

Therefore, Balance = Credits - Debits 

= ₹ 256 - ₹ 255 

= ₹ 1

Hence, your bank account balance is ₹ 1.

3. Why is it generally better to try and maintain a positive balance in your bank account? What are circumstances under which it may be worthwhile to temporarily have a negative balance?

Ans: Having a positive balance in your bank account is generally preferable because:

• Avoids Overdraft Fees: Many banks charge fees if your account goes into a negative balance.

• Provides Financial Security: A positive balance ensures you have money available for unexpected expenses or emergencies.

• Helps Build Good Credit History: Maintaining a positive balance can improve your credit score, making it easier to obtain loans or credit cards in the future.

However, there are some situations where having a temporary negative balance could be acceptable:

• Overdraft Protection: Some banks offer overdraft protection, preventing bounced checks or failed transactions.

• Planned Large Expenses: If you anticipate receiving a large income soon and need to make necessary purchases, a brief negative balance may be manageable.

4. Looking at the geographical cross-section, fill in the respective heights:

a. ______ b. _____ c. _____ d. _____

e. ______ f. ______ g. _____

Ans: You will need to estimate the height of points A to G from the graph.  

Check the vertical axis to find the height value for each point.  

Here are the heights:

A = +1500 m

B = -500m

C = +300m

D = -1200m

E = +1200m

F = -200m

G = +100m

5. Which is the highest point in this geographical cross section? Which is the lowest point? 

Ans: Find the point on the graph that reaches the highest point above sea level. Point A represents the highest point. Likewise, identify the lowest point, including those below sea level. Point D represents the lowest point.

6. Can you write the points A, B, …, G in a sequence of decreasing order of heights? Can you write the points in a sequence of increasing order of heights? 

Ans: Using the heights determined in question 1, arrange the points from highest to lowest (descending order) as A > E > C > G > F > B > D, and from lowest to highest (ascending order) as D < B < F < G < C < E < A.

7. What is the highest point above sea level on Earth? What is its height? 

Ans: Mount Everest is the highest point on Earth, standing at 8,848 metres above sea level.

8. What is the lowest point with respect to sea level on land or on the ocean floor? What is its height? (This height should be negative)

Ans: The deepest known point on Earth is the Mariana Trench, located in the Pacific Ocean, with a depth of 11,034 metres below sea level.

9. Do you know that there are some places in India where temperatures can go below 0°C? Find out the places in India where temperatures sometimes go below 0°C. What is common among these places? Why does it become colder there and not in other places?

Ans: 

• Ladakh: This region is famous for its extremely cold winters, with temperatures frequently falling below 0°C.

• Himachal Pradesh: High-altitude areas, particularly in northern Himachal Pradesh, often experience sub-zero temperatures.

• Jammu & Kashmir: Similar to Ladakh, parts of Jammu and Kashmir, especially the mountainous regions, endure freezing temperatures.

• Sikkim: As a mountainous state, Sikkim experiences sub-zero temperatures in some areas.

• Arunachal Pradesh: The higher elevations in Arunachal Pradesh can face cold conditions, with temperatures dropping below 0°C.

Common Factor:  

All these regions are located in the Himalayan range, known for its high altitudes.

Reason for Colder Temperatures:  

• High Altitude: As altitude increases, temperatures decrease due to the thinner atmosphere at higher elevations, which leads to less heat retention.  

• Distance from the Equator: These regions are farther from the equator, receiving less direct sunlight, contributing to colder temperatures.

10. Leh in Ladakh gets very cold during the winter. The following is a table of temperature readings taken during different times of the day and night in Leh on a day in November. Match the temperature with the appropriate time of the day and night.

Ans:

Benefits of NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 The Other Side of Zero

• Exercise 10.3 helps students understand the concept of integers, including positive and negative numbers, in everyday situations like temperatures, elevations, and bank balances.

• These solutions simplify the concept of integers in different contexts, making it easy for students to understand the use of negative numbers in scenarios like debts and altitudes.

• Students get to practise a variety of problems, from basic integer operations to more complex applications, strengthening their understanding of the topic.

• Encourages logical thinking and reasoning skills, which are essential for higher-level Maths.

• The solutions are based on the NCERT curriculum, ensuring that all the important topics are covered thoroughly.

Class 6 Maths Chapter 10: Exercises Breakdown

Important Study Material Links for Class 6 Maths Chapter 10 - The Other Side of Zero

Conclusion

Vedantu's NCERT Solutions for Class 6 Maths Chapter 10 "The Other Side of Zero" Exercise 10.3 provide a clear and detailed understanding of integers and their practical applications. These solutions guide students through the various uses of positive and negative numbers in real-life situations, such as temperature changes and altitude differences. With step-by-step explanations, students can easily follow the problem-solving methods and build confidence in handling integer-based problems. By practising regularly with these solutions, students can strengthen their Maths skills and prepare effectively for exams. Vedantu's solutions ensure students understand the topic thoroughly, helping them tackle similar problems in future lessons with ease.

Chapter-Specific NCERT Solutions for Class 6 Maths

The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

Related Important Links for Maths Class 6

Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.