NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero (PDF) – 2026-27

NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero provide clear, step-by-step answers to every exercise and in-text question from the chapter the Other Side of Zero of the NCERT textbook Ganita Prakash. Prepared by subject experts as per the latest NCERT (CBSE) syllabus for 2026-27, these NCERT Solutions for Class 6 Maths help you understand each concept, write exam-ready answers, and check your own solutions. You can read them online below or download the free Class 6 Maths Chapter 10 question-answer PDF.

NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero

• Class: Class 6
• Subject: Maths
• Chapter: Chapter 10 – the Other Side of Zero
• Textbook: Ganita Prakash (NCERT)
• Study material: NCERT Solutions – questions with answers, free PDF

These solutions answer all the exercise questions of Chapter 10 the Other Side of Zero — including the in-text questions, short-answer and long-answer questions, and activities — with complete explanations so you can follow the method, not just the final answer. Read the full solutions below.

NCERT Solutions Class 6 Maths Chapter 10 the Other Side of Zero View Download

NCERT Solutions for Class 6 Maths Chapter 10 PDF Download

You can read the NCERT Solutions for Class 6 Maths Chapter 10 online above, or download the complete question-answer PDF to study the Other Side of Zero offline at any time.

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NCERT Solutions for Class 6 Maths Chapter 10 PDF Download Link – Click Here to Download Solutions PDF

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Questions Covered in This Chapter

These NCERT Solutions answer all 76 questions of this chapter. The questions solved are:

1. Can there be a number less than 0? Can you think of any ways to have less than 0 of something?
2. Observe that some of the floors in the ‘Building of Fun’ are below the ground. What are the shops that you find on these floors? What is there on the ground floor?
3. A lift is used to go up and down between the floors. It has two buttons: ‘+’ to go up and ‘–’ to go down. Can you spot the lift?
4. What do you press to go four floors up? What do you press to go three floors down?
5. The ground floor is called Floor 0. Can you see why?
6. Number all the floors in the Building of Fun.
7. Start from the Food Court and press + 2 in the lift. Where will you reach?
8. You start from Floor + 2 and press – 3 in the lift. Where will you reach? Write an expression for this movement.
9. 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)
10. 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.
11. 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)
12. If Basant now presses + 4 and then presses – 4 in the lift, where will he reach?
13. Write the inverses of these numbers: + 4, – 4, – 3, 0, + 2, – 1.
14. Connect the inverses by drawing lines. + 5, – 7, – 8, + 9 / – 9, + 8, – 5, + 7
15. Who is on the lowest floor? 1. Jay is in the Art Centre. So, he is on Floor + 2. 2. Asin is in the Sports Centre. So, she is on Floor ___. 3. Binnu is in the Cinema Centre. So, she is on Floor ___. 4. Aman is in the Toy Store. So, he is on Floor ___.
16. Should we write – 3 < – 4 or – 4 < – 3?
17. 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
18. 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
19. 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.
20. Mark the following floors of the building shown on the right. a. – 7 b. – 4 c. + 3 d. – 10
21. Evaluate 15 – 5, 100 – 10 and 74 – 34 from this perspective.
22. 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)
23. Complete these expressions. a. (+ 40) + ______ = + 200 b. (+ 40) + ______ = – 200 c. (– 50) + ______ = + 200 d. (– 50) + ______ = – 200 e. (– 200) – (– 40) = ______ f. (+ 200) – (+ 40) = ______ g. (– 200) – (+ 40) = ______ Check your answers by thinking about the movement in the mineshaft.
24. Try evaluating the following expressions by similarly drawing or imagining a suitable lift: a. – 125 + (– 30) b. + 105 – (– 55) c. + 105 + (+ 55) d. + 80 – (– 150) e. + 80 + (+ 150) f. – 99 – (– 200) g. – 99 + (+ 200) h. + 1500 – (– 1500)
25. In the other exercises that you did above, did you notice that subtracting a negative number was the same as adding the corresponding positive number?
26. Take a look at the ‘infinite lift’ above. Does it remind you of a number line? In what ways?
27. If, from 5 you wish to go over to 9, how far must you travel along the number line?
28. Now, from 9, if you wish to go to 3, how much must you travel along the number line?
29. Now, from 3, if you wish to go to – 2, how far must you travel?
30. Mark 3 positive numbers and 3 negative numbers on the number line above.
31. Write down the above 3 marked negative numbers in the following boxes:
32. Is 2 > – 3? Why? Is – 2 < 3? Why?
33. What are a. – 5 + 0 b. 7 + (– 7) c. – 10 + 20 d. 10 – 20 e. 7 – (– 7) f. – 8 – (– 10)?
34. Use unmarked number lines to evaluate these expressions: a. – 125 + (– 30) b. + 105 – (– 55) c. + 80 – (– 150) d. – 99 – (– 200)
35. Complete the additions using tokens. a. (+ 6) + (+ 4) b. (– 3) + (– 2) c. (+ 5) + (– 7) d. (– 2) + (+ 6)
36. Cancel the zero pairs in the following two sets of tokens. On what floor is the lift attendant in each case? What is the corresponding addition statement in each case?
37. Is (– 7) – (– 5) the same as (– 7) + (+ 5)?
38. Evaluate the following differences using tokens. Check that you get the same result as with other methods you now know: a. (+ 10) – (+ 7) b. (– 8) – (– 4) c. (– 9) – (– 4) d. (+ 9) – (+ 12) e. (– 5) – (– 7) f. (– 2) – (– 6)
39. Complete the subtractions: a. (– 5) – (– 7) b. (+ 10) – (+ 13) c. (– 7) – (– 9) d. (+ 3) – (+ 8) e. (– 2) – (– 7) f. (+ 3) – (+ 15)
40. Try to subtract: – 3 – (+ 5). How many zero pairs will you have to put in? What is the result?
41. Evaluate the following using tokens. a. (– 3) – (+ 10) b. (+ 8) – (– 7) c. (– 5) – (+ 9) d. (– 9) – (+ 10) e. (+ 6) – (– 4) f. (– 2) – (+ 7)
42. You open a bank account with the ₹100 you had saved. Then you make ₹60 at your job the next day and you deposit it in your account. This is shown in your bank passbook as a ‘credit’. Your new bank balance is _______.
43. The next day you pay your electric bill of ₹30 using your bank account. This is shown in your bank passbook as a ‘debit’. Your bank balance is now ______.
44. The next day you make a major purchase for your business of ₹150. Again this is shown as a debit. What is your bank balance now? ______ Is this possible?
45. Your strategic large purchase the previous day allows you to make ₹200 at your business the next day. What is your balance now? ______
46. 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?
47. 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?
48. 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?
49. Looking at the geographical cross section, fill in the respective heights: a. b. c. d. e. f. g.
50. Which is the highest point in this geographical cross section? Which is the lowest point?
51. 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?
52. What is the highest point above sea level on Earth? What is its height?
53. 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).
54. During summer time you would have heard in the news that there is a ‘heat wave’. What do you think will be the temperature during the summer when you feel very hot?
55. What has been the maximum temperature during the summer and the minimum temperature during the winter last year in your area? Find out.
56. 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?
57. 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. (14 °C, 8 °C, – 2 °C, – 4 °C with 02:00 a.m., 11:00 p.m., 02:00 p.m., 11:00 a.m.)
58. Do the calculations for the second grid above and find the border sum.
59. Complete the grids to make the required border sum: (i) – 10, ___, ___ / ___, ___, – 5 / 9, ___, ___ with border sum + 4 (ii) 6, 8, ___ / ___, ___, – 5 / ___, – 2, ___ with border sum – 2 (iii) 7, ___, ___ / ___, ___, – 5 / ___, ___, ___ with border sum – 4
60. For the last grid above, find more than one way of filling the numbers to get border sum – 4.
61. Which other grids can be filled in multiple ways? What could be the reason?
62. Make a border integer square puzzle and challenge your classmates.
63. Try afresh, choose different numbers this time. What sum did you get? Was it different from the first time? Try a few more times!
64. Play the same game with the grids below. What answer did you get?
65. What could be so special about these grids? Is the magic in the numbers or the way they are arranged or both? Can you make more such grids?
66. Write all the integers between the given pairs, in increasing order. a. 0 and – 7 b. – 4 and 4 c. – 8 and – 15 d. – 30 and – 23
67. Give three numbers such that their sum is – 8.
68. There are two dice whose faces have these numbers: – 1, 2, – 3, 4, – 5, 6. The smallest possible sum upon rolling these dice is – 10 = (– 5) + (– 5) and the largest possible sum is 12 = (6) + (6). Some numbers between (– 10) and (+ 12) are not possible to get by adding numbers on these two dice. Find those numbers.
69. Solve these: 8 – 13, (– 8) – (13), (– 13) – (– 8), (– 13) + (– 8), 8 + (– 13), (– 8) – (– 13), (13) – 8, 13 – (– 8)
70. Find the years below. a. From the present year, which year was it 150 years ago? b. From the present year, which year was it 2200 years ago? Hint: Recall that there was no year 0. c. What will be the year 320 years after 680 BCE?
71. Complete the following sequences: a. (– 40), (– 34), (– 28), (– 22), ___, ___, ___ b. 3, 4, 2, 5, 1, 6, 0, 7, ___, ___, ___ c. ___, ___, 12, 6, 1, (– 3), (– 6), ___, ___, ___
72. Here are six integer cards: (+ 1), (+ 7), (+ 18), (– 5), (– 2), (– 9). You can pick any of these and make an expression using addition(s) and subtraction(s). Here is an expression: (+ 18) + (+ 1) – (+ 7) – (– 2) which gives a value (+ 14). Now, pick cards and make an expression such that its value is closer to (– 30).
73. The sum of two positive integers is always positive but a (positive integer) – (positive integer) can be positive or negative. What about a. (positive) – (negative) b. (positive) + (negative) c. (negative) + (negative) d. (negative) – (negative) e. (negative) – (positive) f. (negative) + (positive)
74. This string has a total of 100 tokens arranged in a particular pattern. What is the value of the string?
75. Can you explain each of Brahmagupta’s rules in terms of Bela’s Building of Fun, or in terms of a number line?
76. Give your own examples of each rule.

Chapter at a Glance

• There are numbers less than zero. They are written with a ‘–’ sign in front, are called negative numbers , and lie to the left of 0 on the number line. In Bela's Building of Fun they are the floors below the ground.
• The numbers … –3, –2, –1, 0, 1, 2, 3 … are the integers . Positive integers are 1, 2, 3, …; negative integers are –1, –2, –3, …; and 0 is neither positive nor negative — it is the reference point.
• Every number has an additive inverse — the number that gives 0 when added to it. The inverse of +4 is –4, the inverse of –543 is 543, and the inverse of 0 is 0.
• Addition means Starting Position + Movement = Target Position . Subtraction means Target Position – Starting Position = Movement needed . Both come straight from the lift.
• Subtracting a number is the same as adding its inverse : 7 – (– 7) = 7 + 7 = 14. That single idea turns every subtraction of integers into an addition.
• Integers are everywhere outside the classroom — credits and debits in a bank passbook, heights above and below sea level , and temperatures above and below 0 °C .

How to Download NCERT Solutions for Class 6 Maths Chapter 10 PDF

Follow these simple steps to get the the Other Side of Zero questions-and-answers PDF from Ganita Prakash.

1. Search NCERT Solutions for Class 6 Maths Chapter 10 aglasem and open this page.
2. Read the exercise questions with answers for the Other Side of Zero shown above.
3. Click the Download PDF link to save the the Other Side of Zero solutions to your device.

NCERT Solutions for Class 6 Maths – All Chapters

There are more chapters to study besides the Other Side of Zero in Maths. Here are the NCERT Solutions for all chapters of Class 6 Maths.

• Chapter 1 Patterns in Mathematics
• Chapter 2 Lines and Angles
• Chapter 3 Number Play
• Chapter 4 Data Handling and Presentation
• Chapter 5 Prime Time
• Chapter 6 Perimeter and Area
• Chapter 7 Fractions
• Chapter 8 Playing with Constructions
• Chapter 9 Symmetry
• Chapter 10 the Other Side of Zero

NCERT Solutions for Class 6 – All Subjects

Just like Chapter 10 of Maths, you can get the exercise questions with answers for every other subject of Class 6. Here are the NCERT Solutions for all subjects of Class 6.

• English
• Hindi
• Maths
• Sanskrit
• Science
• Social Science

NCERT Solutions for Class 6 Maths Chapter 10 – An Overview

The key highlights of this study material are as follows.

Aspects	Details
Class	Class 6
Subject	Maths
Chapter Number	Chapter 10
Chapter Name	the Other Side of Zero
Book Name	Ganita Prakash
Book By	NCERT (National Council of Educational Research and Training)
Educational Resource Here	NCERT Solutions of Class 6 Maths Chapter 10 for all exercises
More Questions Answers of This Subject	NCERT Solutions for Class 6 Maths
Download Book Chapter	NCERT Book Class 6 Maths
All Questions Answers For This Class	NCERT Solutions for Class 6
Complete Solutions	NCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero – FAQs

What are the NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero?

They are the complete, step-by-step answers to all the exercise and in-text questions of Chapter 10 the Other Side of Zero from the NCERT Class 6 Maths textbook Ganita Prakash, written by experts as per the latest NCERT syllabus.

How can I download the Class 6 Maths Chapter 10 solutions PDF for free?

Open this page on aglasem, read the the Other Side of Zero questions with answers, and click the “Download Solutions PDF” link. The Class 6 Maths Chapter 10 NCERT Solutions PDF is completely free to download.

Are these NCERT Solutions as per the latest 2026-27 syllabus?

Yes. The NCERT Solutions for Class 6 Maths Chapter 10 are based on the latest NCERT textbook Ganita Prakash and the current 2026-27 CBSE syllabus, so the questions and answers match what you study in class.

Where can I get NCERT Solutions for the other chapters of Class 6 Maths?

You can find the answers to every chapter on the NCERT Solutions for Class 6 Maths page, and solutions for every subject on the NCERT Solutions for Class 6 page.

How do NCERT Solutions help in exam preparation?

They show the correct method to solve each question, help you write answers the way they are expected in exams, let you check and correct your own work, and save revision time — which together improve your marks in Class 6 Maths.

If you have any queries on NCERT Solutions for Class 6 Maths Chapter 10 the Other Side of Zero, then please ask in the comments below.