NCERT Solutions for Chapter 10 The Other Side of Zero Class 6 Maths Exercise 10.1 - FREE PDF Download
Vedantu provides NCERT Solutions for Class 6 Maths Chapter 10 "The Other Side of Zero" to help students easily understand the concept of integers. In Exercise 10.1, "Bela's Building of Fun," students learn how to add and subtract integers by using a fun analogy of moving between building floors, making it simpler to grasp.
- 3.1Exercise 10.1
Aligned with the CBSE Class 6 Maths Syllabus, these solutions are presented in a clear, step-by-step manner. Class 6 Maths NCERT Solutions ensure students practise effectively while gaining a deeper understanding of integer operations. This is an ideal resource for exam preparation and daily study.
Glance on NCERT Solutions Maths Chapter 10 Exercise 10.1 Class 6 | Vedantu
Exercise 10.1 in Class 6 Maths Chapter The Other Side of Zero focuses on Bela’s Building of Fun.
This exercise introduces students to the concept of integers, teaching how to represent positive and negative numbers on a number line and apply them in real-life scenarios.
Students will explore how to add and subtract integers by using the analogy of moving up and down different floors in a building, making the operations easier to understand.
By visualising movements between floors, students can relate to how integer calculations work in real life, such as going up and down in elevators or temperature changes.
Students can easily grasp integer operations by visualising movement between floors, where going up means adding and going down means subtracting, making the concept of negative and positive numbers intuitive.
Exercise 10.1
1. You start from Floor +2 and press –3 in the lift. Where will you reach? Write an expression for this movement.
Ans: You start from Floor +2 and press -3 in the lift. Where will you reach? Write an expression for this movement.
Starting floor: +2
Movement: -3
Expression: \( +2 + (-3) \)
Answer: \( +2 + (-3) = -1 \)
You will reach Floor -1.
2. Evaluate these expressions (you may think of them as Starting Floor + Movement by referring to the Building of Fun).
a. (+1)+(+4) = _______
b. (+4)+(+1) = _______
c. (+4)+(– 3) = _______
d. (–1)+(+2) = _______
e. (–1)+(+1) = _______
f. 0+(+2) = _________
g. 0+(–2) = _________
Ans: Evaluate these expressions:
a. \( +1 + (+4) = +5 \)
b. \( +4 + (+1) = +5 \)
c. \( +4 + (-3) = +1 \)
d. \( -1 + (+2) = +1 \)
e.\( -1 + (+1) = 0 \)
f. \( 0 + (+2) = +2 \)
g. \( 0 + (-2) = -2 \)
3. Starting from different floors, find the movements required to reach Floor –5. For example, if I start at Floor +2, I must press –7 to reach Floor –5. The expression is (+2) + (–7) = –5.
Find more such starting positions and the movements needed to reach Floor –5 and write the expressions.
Ans: Starting from different floors, find the movements required to reach Floor -5.
Example 1: If you start at Floor +2, press -7 to reach Floor -5.
Expression: \( +2 + (-7) = -5 \)
Example 2: Start at Floor +4, press -9 to reach Floor -5.
Expression: \( +4 + (-9) = -5 \)
Example 3: Start at Floor 0, press -5 to reach Floor -5.
Expression: \( 0 + (-5) = -5 \)
Example 4: Start at Floor -3, press -2 to reach Floor -5.
Expression: \( -3 + (-2) = -5 \)
4. Evaluate these expressions by thinking of them as the resulting movement of combining button presses:
a. (+1)+(+4) = _____________
b. (+4)+(+1) = _____________
c. (+4)+(– 3)+(–2) = _______
d. (–1)+(+2)+(–3) = _______
Ans:
a. (+1)+(+4) = +5
b. (+4)+(+1) = +5
c. (+4)+(– 3)+(–2) = (+4)-3-2 =(+4)-(3+2) = (+4)-(5) = -1
d. (-1)+2-3 = -1-1 = -2
5. Compare the following numbers using the Building of Fun and fill in the boxes with < or >.
a. –2 __ +5
b. –5 __ +4
c. –5 __ –3
d. +6 __ –6
e. 0 __ –4
f. 0 __ +4
Notice that all negative number floors are below Floor 0. So, all negative numbers are less than 0. All the positive number floors are above Floor 0. So, all positive numbers are greater than 0.
Ans:
a. - 2 < + 5
b. - 5 < + 4
c. - 5 < - 3
d. + 6 > - 6
e. 0 > - 4
f. 0 < + 4
6. Imagine the Building of Fun with more floors. Compare the numbers and fill in the boxes with < or >:
a. –10 __ –12
b. +17 __ –10
c. 0 __ –20
d. +9 __ –9
e. –25 __ –7
f. +15 __ –17
Ans:
a. –10 > – 12
b. +17 > –10
c. 0 > –20
d. +9 > –9
e. –25 < –7
7. If Floor A = –12, Floor D = –1 and Floor E = +1 in the building shown on the right as a line, find the numbers of Floors B, C, F, G, and H.
Ans:
8. Mark the following floors of the building shown on the right.
a. –7 b. – 4 c. +3 d. – 10
Ans:
9. Complete these expressions. You may think of them as finding the movement needed to reach the Target Floor from the Starting Floor.
a. (+1) –(+4) = _______
b. (0) –(+2) = _________
c. (+4) –(+1) = _______
d. (0)– (–2) = _________
e. (+4) – (–3) = _______
f. (–4)–(–3) = ________
g. (–1) –(+2) = _______
h. (–2) – (–2) = ________
i. (–1) – (+1) = _______
j. (+3)– (–3) = ________
Ans:
a. (+1) –(+4) = -3
b. (0) –(+2) = -2
c. (+4) –(+1) = 3
d. (0)– (–2) = 2
e. (+4) – (–3) =7
f. (–4)–(–3) = -1
g. (–1) –(+2) = -3
h. (–2) – (–2) = 0
i. (–1) – (+1) = -2
j. (+3)– (–3) = 6
10. Complete these expressions.
a. (+40)+ ______ = +200
b. (+40)+_______=–200
c. (–50)+ ______ = +200
d. (–50)+_______=–200
e. (–200) – (–40) = _______
f. (+200)– (+40) = _______
g. (–200) –(+40) = _______
Ans:
a. (+40)+(+160) = +200
b. (+40)+ (-240) =–200
c. (–50)+ (+250) = +200
d. (–50)+ (-150) =–200
e. (–200) – (–40) = -160
f. (+200)– (+40) = +160
g. (–200) –(+40) = -240
11. Mark 3 positive numbers and 3 negative numbers on the number line above.
Ans:
12. Write down the above 3 marked negative numbers in the following boxes: ___ ___ ___.
Ans: -7, -3. -2
13. Is 2 > – 3? Why? Is –2 < 3? Why?
Ans: Yes, 2 > -3. This is because on the number line, 2 is to the right of -3, meaning it is greater than -3.
Yes, -2 < 3. This is also because on the number line, -2 is to the left of 3, meaning it is less than 3.
Positive numbers are always greater than negative numbers, and among negative numbers, the one closer to zero is greater.
14. What are a. –5+0 b. 7+(–7) c. –10+20 d. 10 –20 e. 7–(–7) f. –8–(–10)?
Ans:
a. - 5 + 0 = -5
b. 7 + (+7) = 14
c. - 10 + 20 = 10
d. 10 - 20 = - 10
e. 7 - ( -7) = 14
f. -8 - (-10) = 2
Benefits of NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.1 The Other Side of Zero
Students gain a simple and clear understanding of addition, subtraction of Integers.
Exercise 10.1 solutions make it easier for students to grasp the concepts of positive and negative numbers through real-life examples, such as floors in a building.
The analogy of moving between building floors helps students visualise how addition and subtraction of integers work, making complex concepts more relatable.
These solutions improve the logic behind integer operations, allowing students to confidently tackle similar problems in exams and daily practice.
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
The NCERT Solutions for Class 6 Maths Chapter 10 - The Other Side of Zero, Exercise 10.1 Bela's Building of Fun provides students with a clear and engaging way to understand integer operations. Using the fun analogy of moving between building floors, students can easily grasp how to add and subtract positive and negative numbers. These step-by-step solutions help simplify difficult concepts, making it easier to solve problems accurately. Vedantu’s solutions ensure that students not only complete the exercise but also understand the logic behind each calculation. This thorough understanding of integers will be beneficial for both exams and practical applications in daily life. Students can confidently rely on these solutions for a better learning experience.
Chapter-wise NCERT Solutions 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 Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions for Class 6 Maths Chapter 10 - The Other Side of Zero Exercise 10.1
1. What is the main concept taught in Class 6 Maths Chapter 10 "The Other Side of Zero"?
This chapter teaches students about integers, focusing on the addition and subtraction of positive and negative numbers using real-life examples.
2. How does Exercise 10.1 "Bela's Building of Fun" help in understanding integers in Class 6 Maths Chapter 10?
Exercise 10.1 uses the analogy of moving between floors in a building to explain how adding and subtracting integers work, making the concept easier to grasp.
3. Why are the NCERT Solutions for Class 6 Maths Chapter 10, Exercise 10.1 useful?
These solutions provide detailed, step-by-step answers, helping students understand the logic behind each calculation and reinforcing their learning of integer operations.
4. What type of problems are included in Class 6 Maths Chapter 10 Exercise 10.1?
The exercise includes problems that require adding and subtracting integers, helping students visualise these operations through the concept of building floors.
5. How can Class 6 Maths NCERT Solutions for Chapter 10, Exercise 10.1 help in exam preparation?
The solutions provide clear explanations and practice opportunities, ensuring students understand integer operations thoroughly, which is useful for both exams and daily problem-solving.
6. How does Class 6 Maths Chapter 10 "The Other Side of Zero" relate to real-life situations?
The chapter uses everyday examples like moving between floors in a building to explain how integers (positive and negative numbers) work in real-life scenarios.
7. What makes Class 6 Maths Chapter 10, Exercise 10.1 engaging for students?
The exercise is engaging because it explains integer operations using a fun and relatable analogy of building floors, making learning enjoyable.
8. Can Class 6 Maths NCERT Solutions for Chapter 10, Exercise 10.1 help with difficult questions?
Yes, the step-by-step explanations help students solve even the more challenging questions by breaking down the logic and operations involved.
9. What are the key takeaways from Class 6 Maths Chapter 10, Exercise 10.1?
Students learn the basics of integer addition and subtraction, and how these concepts apply to everyday tasks like calculating floors in a building.
10. How can I improve my understanding of integers using Class 6 Maths Chapter 10, Exercise 10.1?
By practising the problems in Exercise 10.1 and reviewing the detailed NCERT Solutions, students can strengthen their understanding of integer operations.
11. Are there any visual aids in Class 6 Maths Chapter 10, Exercise 10.1 to help understand integers?
Yes, the concept of moving between floors acts as a visual aid, helping students easily grasp the addition and subtraction of integers.
12. What should students focus on when solving Class 6 Maths Chapter 10, Exercise 10.1?
Students should focus on understanding how integers interact during addition and subtraction, especially how positive and negative numbers affect movement between floors in the given analogy.
14. Are there any real-life applications of perimeter calculations in class 6 maths ex 10.1?
Yes, Class 6th maths chapter 10 exercise 10.1 includes practical problems where students need to calculate the perimeter of objects like gardens, playgrounds, and rooms, helping them understand the real-life applications of perimeter calculations.
