# NCERT Solutions for Class 7 Maths Chapter 1 Integers (EX 1.1) Exercise 1.1

Class 7 is one of the most important years in a student’s learning process. It prepares students for their higher classes. The concepts that students need to learn in their higher classes require a good knowledge of the concepts in Class 7. Also, Class 7 introduces students to a number of concepts that are important for them throughout their lives. In Class 7, students are taught some basic concepts that have a wide range of applications throughout their schooling. Apart from that, it is also very important to score good marks on the examinations in Class 7. Students in Class 7 are required to appear for multiple tests in school. The CBSE syllabus includes various topics that are crucial to comprehend to be able to do well on exams. Students need to be thorough with each of these topics. However, preparing for exams can be challenging for Class 7 students. Class 7 introduces students to various topics and concepts that are much more difficult than what they have experienced in their previous classes. This makes it necessary to have a good strategy in hand as well as mental calmness. Students also need to use the best available resources to be able to score well on exams. Having the best resources in hand makes the task of students preparing for exams easier. Extramarks is one of the few platforms on the web where students can find the best study resources to aid in their preparation. One of these useful resources is NCERT solutions such as the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1.

The CBSE requires its students to use NCERT-published textbooks. While studying, students must adhere to the CBSE latest syllabus for Class 7. To get the highest marks possible, they should also write their answers in accordance with the CBSE marking guidelines. Teachers with extensive experience in CBSE exams have prepared the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. They followed the most recent CBSE guidelines when creating the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are regularly revised and updated in accordance with the most recent guidelines. This means that students have no cause to worry about the recent curriculum changes made by the CBSE.

## NCERT Solutions for Class 7 Maths Chapter 1 Integers (EX 1.1) Exercise 1.1

One of the most comprehensive and authentic NCERT solutions that are offered online is Extramarks’ NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are available on many different websites, but some students and teachers are unsure of their validity. However, since annual exams are so important, students must use trustworthy study materials while studying. Simple language is used to describe the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 and other exercises. Students can learn the right way to organise their answers. The most efficient and straightforward solutions to mathematical problems can be found in the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. Extramarks offers a variety of study resources for Class 7 students in addition to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The study materials make it simpler to comprehend all of the concepts needed to complete the chapter. These study resources can aid in the chapter revision procedure. They are written by highly qualified educators who have years of experience in a format that is simple to understand for students. Practice worksheets, solved exemplar problems, revision notes, and more are available on the Extramarks website. Students may find everything they need for their studies and thus save time from having to search elsewhere.

Students can find the answers more easily because Extramarks’ NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 include all of the steps needed to complete the problems. Students can correctly apply the concepts covered in the chapter by using the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. Since they understand how to solve the problems, this gives them an advantage in their exams. Students can improve their ability to respond quickly and accurately to these types of questions in exams by repeatedly practising NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. They can benefit from the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 on Extramarks in a variety of ways. The comprehensive, step-by-step solutions provided in the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 will assist students in solving challenging problems. These types of problems must be divided into smaller parts in order to solve them efficiently. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 contain the solution to this problem. When students use the NCERT textbook, their understanding of the most challenging subject improves. Students can evaluate their performance by comparing their answers to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. On the Extramarks platform, students can access the thoroughly examined and fact-checked NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The thorough NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 and other exercises are explained in simple language. The best way for students to organise their answers is suggested. They provide the most efficient and straightforward answers to challenging mathematical questions.

## NCERT Solutions for Class 7 Maths Chapter 1 Other Exercises

There are numerous significant questions in the exercises in Chapter 1 of the NCERT textbook for Class 7. This chapter contains a total of four exercises. For the Class 7 annual exams, each of these exercises is equally crucial. Students should also review the most recent CBSE syllabus to see what chapters and topics are covered for Class 7. Students who finish all the chapters thoroughly will not only do better on their annual exams for Class 7 but will also have an easier time understanding the concepts in their higher classes. As a result, a thorough understanding of the concepts in Class 7 can also help students’ studies in higher classes. Apart from the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1, Extramarks also provides NCERT Solutions for other exercises in Chapter 1.

### Important Points to Note before Solving Exercise 1.1

Exercise 1.1 of the NCERT book for Class 7 is very important from an examination point of view. However, students should be thorough with the concepts learnt in their previous classes. The concepts in Class 7 are a continuation of the concepts learnt in Class 6. Hence, students should be thorough with the concepts of Class 6. If they are unable to recall some concepts from Class 6, they should go through the Class 6 NCERT textbook again. Having a good understanding of the concepts in Algebra from Class 6 will help students easily understand this chapter and solve exercise 1.1. Before solving exercise 1.1, students should read the Introduction and Recall which will help them remember the concepts they have learned so far.They will be able to recall several important concepts such as Negative and Positive Integers, Representation of Integers on the Number Line, Additive Inverse, etc. Once they are thorough with these concepts, they will be able to solve all the questions in Exercise 1.1.

## Access NCERT Solutions for Maths Class 7 Chapter 1 – Integers

Having regular access to NCERT solutions is preferable, even when they are available online. Students can learn whenever and wherever they choose if they have offline access. Students can get the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 from Extramarks to use at any time for learning. So, unforeseen network problems and bad internet connectivity will not be a barrier to learning anymore. All of the problems in the textbook are covered by the expert-curated NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1, offering a chance for learning and exam practice. For continuous exam preparation, students can get the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 in PDF format from the Extramarks website and mobile app.

### Exercise 1.1

Exercise 1.1 is crucial for students to practise as it introduces them to the fundamentals. This exercise includes 10 questions in total. There are several application-based questions in this exercise. Students should try to solve all the questions on their own. This will help them  be able to solve the questions in the subsequent exercises. To help students solve this exercise easily, Extramarks provides the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1.

### CBSE Class 7 Maths Chapter 1 Exercise 1.1 Solutions

For students practising Mathematics, the Internet is a great source of study materials. All of these resources may not be necessary for Class 7 students to adequately study for their exams. It is essential that students read the NCERT book for Mathematics because the CBSE requires all of its students to use NCERT textbooks. The Union Government established the NCERT (National Council of Educational Research and Training) to provide advice on the creation of policies to enhance school education in the country. It was established in 1961 and advises the federal and state governments on the formulation of educational policy. To improve school education in India and give children throughout the country a high-quality education, the NCERT carries out considerable research. The NCERT’s main duties include publishing textbooks for education. In order to guarantee that students from all classes obtain a top-notch education, it also provides newsletters, journals, and other additional resources. The NCERT textbooks are available in PDF format on the website, along with other digital resources. The most important component of CBSE students’ exam preparation is the NCERT textbook.

Additionally, the NCERT textbooks form the basis of the syllabusfor a number of competitive exams. As a result, experts suggest that students carefully read the NCERT textbooks. After reading each chapter of the NCERT book, they must also complete the exercises. The NCERT solutions, such as the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1, are therefore available to students at Extramarks.

One of the comprehensive and authentic NCERT solutions that are offered online is Extramarks’ NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are available on many different websites, but some students and teachers are unsure about their legitimacy. Since the Class 7  annual examinations are so important, students must use reputable study materials. Simple language is used to describe the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 and other exercises. Students can learn the perfect way to organise their answers. The most efficient and straightforward solutions to mathematical problems can easily be found in the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. Extramarks offers a variety of study resources for Class 7 Mathematics in addition to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The study resources make it simpler to comprehend all of the concepts needed to complete Class 7 Maths Exercise 1.1. These study resources aid in the chapter revision procedure as well. They are written in a format that is easy to understand. They are written by highly qualified educators who have years of experience. Chapterwise practise worksheets, solved exemplar questions, revision notes, and much more are also available on the Extramarks portal. Students may find everything they need for their studies in one location as a result, saving timefrom having to search elsewhere.

Students who have access to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are better able to comprehend the questions in the NCERT textbooks and gain a solid understanding of both fundamental and complex topics. They can get a solid conceptual and theoretical understanding of the chapter by practising questions with the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. For self-evaluation and improvement, they can also check their answers with the Extramarks-provided solutions. For students studying for exams, the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are helpful since they are presented in straightforward and plain language that any student can easily understand. The detailed answers to each question in Class 7 Maths Chapter 1 Exercise 1.1 are provided in the NCERT solutions provided by Extramarks.

Students can use the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 as a thorough practise and self-assessment tool and practise the questions from the NCERT textbook. Multiple experts cross-check the solutions for accuracy to maintain the depth of students’ understanding. Complex questions must be broken down into simpler sections in order to be solved quickly. This issue is resolved by having access to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. The NCERT textbook exercises, when practised by students, help them gain more self-assurance and master even the most difficult topics. Students should compare their answers to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 provided by Extramarks for self-evaluation and improvement.

Before appearing for the annual exams, students must have access to a huge number of questions as well as well-explained solutions. NCERT textbook questions are heavily referred to in the bulk of the question banks. Answering questions is made simpler by having the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 at hand. When students have a quick approach to understanding and learning, they are more confident on any exam. Furthermore, this enables students to focus more of their time on specific other areas of their study while maintaining mental clarity. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 provide complete and error-free answers to all of the exercise’s problems. Thus, repeatedly practising NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 would help students in providing quick and accurate answers to such questions in exams.

In addition to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1, Extramarks provides a variety of study resources for students in Class 7 to help them prepare for their exams. Since it offers so many study resources, Extramarks can assist students at any level of exam preparation. To ensure that students thoroughly understand the concepts without difficulty, Extramarks collaborates with some of India’s most highly skilled and experienced teachers. With the help of largely media-based learning that incorporates animations and graphics, students may find the chapter and topic they are studying to be more understandable and engaging. Extramarks provides additional questions and activities for each chapter to help students comprehend the concepts in each chapter. Students can obtain revision notes to help them with their review of the topics they have already studied. These notes support students’ long-term retention of the ideas they have learnt. There are several important points, formulas, and other details in the revision notes that could really help with last-minute revision. Also, it provides CBSE past years’ papers and sample question papers that can be finished before the exams to boost confidence and adequately prepare students for the exams. Students should utilise the study modules provided by Extramarks to the maximum extent in order to completely understand each topic and get better scores.

### NCERT Solutions for Class 7

NCERT solutions for other chapters are also available on Extramarks, in addition to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. For each of the 15 chapters in the NCERT textbook for Class 7 Mathematics, students can get thorough and in-depth NCERT solutions on Extramarks. The questions from all the exercises in each chapter have also been completely answered. Students frequently receive NCERT exercises as homework from their school teachers. Students sometimes face a variety of obstacles as they attempt to answer these questions. Sometimes they are unable to complete their assignments for this reason. Students may still complete their homework with ease if they have access to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. Students will be able to continue their planned activities after finishing their assignments on time. This will enable them to complete their schoolwork on schedule and efficiently get ready in line with their strategy. Since the answers are provided in straightforward language, students can easily understand them and use the methods to solve the questions that they attempt. In addition to Mathematics, NCERT solutions for Class 7 are available on Extramarks for a number of other subjects. Class 7 students can finish their homework for all subjects using the NCERT solutions available on Extramarks.

Q.1

$\begin{array}{l}\mathrm{Following}\mathrm{number}\mathrm{line}\mathrm{shows}\mathrm{the}\mathrm{temperature}\mathrm{in}\mathrm{degree}\\ \mathrm{celsius}\left(°\mathrm{C}\right)\mathrm{at}\mathrm{different}\mathrm{places}\mathrm{on}\mathrm{a}\mathrm{particular}\mathrm{day}\\ \left(\text{a}\right)\text{Observe this number line and write the}\\ \text{temperature of the places marked on it}.\\ \left(\text{b}\right)\text{What is the temperature difference between the}\\ \text{hottest and the coldest places among the above}?\\ \left(\text{c}\right)\text{What is the temperature difference between Lahulspiti}\\ \text{and Srinagar}?\\ \left(\text{d}\right)\text{Can we say temperature of Srinagar and Shimla taken}\\ \text{together is less than the temperature at Shimla}?\\ \text{Is it also less than the temperature at Srinagar}?\end{array}$

Ans.

$\begin{array}{l}\text{(a)}\text{\hspace{0.17em}}\text{By observing the number line, the temprature of the}\\ \text{places marked are as follows:}\\ \text{Lahulspiti:}-8°C\\ \text{Srinagar:}-2°C\\ \text{Shimla:}5°C\\ \text{Ooty:}14°C\\ \text{Banglore:}22°C\\ \\ \text{(b)}\text{\hspace{0.17em}}\text{The hottest place is Banglore with temprature}22°C\\ \text{and coldest place is Lahulspiti}\text{\hspace{0.17em}}\text{with temprature}-8°C\text{.}\\ \text{So},\text{\hspace{0.17em}}\text{the temperature difference between the hottest}\\ \text{and the coldest places is}\\ \text{=22}°\text{C}-\left(-8°\text{C}\right)\\ =22°\text{C}+8°\text{C}\\ =\overline{)30°\text{C}}\\ \\ \left(c\right)\text{\hspace{0.17em}}\text{The temperature difference between Lahulspiti and}\\ \text{Srinagar}\\ =-2°\text{C}-\left(-8°\text{C}\right)\\ =-2°\text{C}+8°\text{C}\\ =\overline{)6°\text{C}}\\ \\ \left(d\right)\text{\hspace{0.17em}}\text{The temprature of Srinagar and Shimla are}-2°C\\ \text{and}5°C.\\ \text{So, together their temprature would be}\\ -2°C+5°C=3°C\text{, which is less than temprature of Shimla}\\ \text{Thus, temprature of Srinagar and Shimla taken together}\\ \text{is less than the temprature at Shimla}\text{.}\\ \text{But, it is not less than temprature at Srinagar}\text{.}\end{array}$

Q.2

$\begin{array}{l}\mathrm{In}\mathrm{a}\mathrm{quiz},\mathrm{positive}\mathrm{marks}\mathrm{are}\mathrm{given}\mathrm{for}\mathrm{correct}\mathrm{answers}\\ \mathrm{and}\mathrm{negative}\mathrm{marks}\mathrm{are}\mathrm{given}\mathrm{for}\mathrm{in}\mathrm{correct}\mathrm{answers}.\\ \mathrm{If}\mathrm{Jack}’\mathrm{s}\mathrm{scores}\mathrm{in}\mathrm{five}\mathrm{successive}\mathrm{rounds}\mathrm{were}\\ 25,–5,–10,\text{\hspace{0.17em}}15\mathrm{and}10,\mathrm{what}\mathrm{was}\mathrm{his}\mathrm{total}\mathrm{at}\mathrm{the}\mathrm{end}?\end{array}$

Ans.

$\begin{array}{l}\text{Jack’s scores in five successive rounds were 25,}-5,-10,\\ \text{15 and and 10}\text{.}\\ \text{His total at the end would be}\\ \text{=25+}\left(-5\right)+\left(-10\right)+15+10\\ =50-15\\ =\overline{)35}\end{array}$

Q.3

$\begin{array}{l}\text{At Srinagar temperature was-5°C on Monday and then}\\ \text{it dropped by2°C on Tuesday. What was the temperature}\\ \text{of Srinagar on Tuesday? On Wednesday, it rose by 4°C.}\\ \text{What was the temperature on this day?}\end{array}$

Ans.

$\begin{array}{l}\text{Temprature on Monday=}-5°C\\ \text{Since, temperature dropped by}2°C\text{on Tuesday}\text{.}\\ \text{So, the temperature of Srinagar on Tuesday was}\\ =-5°C-2°C\\ =\text{}\overline{)-7°C}\\ \text{On Wednesday, temperature rose by}4°C,\text{\hspace{0.17em}}\text{so temperature of}\\ \text{Srinagar on Wednesday was}\\ =-7°C+4°C\\ =\overline{)-3°C}\\ \text{Thus, Temperature on Tuesday and Wednesday was}\\ \overline{)-7°C\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}-3°C}\text{respectively}\text{.}\end{array}$

Q.4

$\begin{array}{l}\text{A plane is flying at the height of 5000 m above the sea}\\ \text{level. At a particular point, it is exactly above a submarine}\\ \text{floating 1200 m below the sea level. What is the vertical}\\ \text{distance between them?}\end{array}$

Ans.

$\begin{array}{l}\text{Height of the plane = 5000 m}\\ \text{Depth of the submarine}=\text{}-1200\text{m}\\ \text{So, the distance between plane and submarine}\\ \text{=5000 m}-\text{}\left(-1200\text{\hspace{0.17em}}\text{m}\right)\\ =5000\text{m+1200 m}\\ \text{=}\overline{)\text{6200 m}}\\ \text{Thus, the vertical distance between them is 6200 m}\text{.}\end{array}$

Q.5

$\begin{array}{l}\text{Mohan deposits Rs 2,000 in his bank account and}\\ \text{withdraws Rs 1,642 from it, the next day. If withdrawal}\\ \text{of amount from the account is represented by a negative}\\ \text{integer, then how will you represent the amount deposited?}\\ \text{Find the balance in Mohan’s account after the withdraw.}\end{array}$

Ans.

$\begin{array}{l}\text{Since, withdrawal of amount from the account is represented}\\ \text{by a negative integer, so we take amount deposited as a positive}\\ \text{integer}\\ \text{Amount deposited = Rs 2000}\\ \text{Amount withdrawn}=-\text{Rs 1642}\\ \text{Balance left in Mohan’s account}\\ \text{= Rs 2000}-\text{Rs 1642}\\ \text{=}\overline{)\text{Rs 358}}\\ \text{Thus, the balance in Mohan’s account after withdrawal}\\ \text{is Rs 358}\text{.}\end{array}$

Q.6

$\begin{array}{l}\text{Rita goes 20 km towards east from a point A to the point B.}\\ \text{From B, she moves 30 km towards west along the same road.}\\ \text{If the distance towards east is represented by a positive}\\ \text{integer then, how will you represent the distance travelled}\\ \text{towards west? By which integer will you represent her final}\\ \text{position from A?}\end{array}$

Ans.

$\begin{array}{l}\text{Here, the distance towards east is represented by a positive}\\ \text{integer and the distance travelled towards west will be}\\ \text{represented by a negative integer}\text{.}\\ \text{So, distance travelled in east direction = 20 km}\\ \text{distance travelled in west direction =}-\text{30 km}\\ \text{Distance travelled from A = 20 km+}\left(-30\text{km}\right)\\ =-10\text{\hspace{0.17em}}\text{km}\\ \text{Thus, Rita’s distance travelled from point A}\text{â€‹}\text{will be represented}\\ \text{by a negative integer}\left(-10\text{\hspace{0.17em}}\text{km}\right)\text{.}\\ \text{Rita is in west direction}\text{.}\end{array}$

Q.7

$\begin{array}{l}\text{In a magic square each row, column and diagonal have the}\\ \text{same sum. Check which of the following is a magic square.}\end{array}$

Ans.

$\begin{array}{l}\text{In a magic square, each row, column and diagonal have}\\ \text{the same sum}\text{.}\\ \text{So, in square (i), every row and column sum up to 0}\text{.}\\ \text{However sum of one of its diagonal is not zero}\text{.}\\ -4-2=-6\ne \text{0}\\ \text{So, (i) is not a magic square}\text{.}\\ \text{Similarly, in square (ii) every row, column and diagonal}\\ \text{sum up to}-\text{9}\text{.}\\ \text{Thus, (ii) is a magic square}\text{.}\end{array}$

Q.8

$\begin{array}{l}\text{Verifya}-\left(-\text{b}\right)\text{=a+b for the following values of a and b.}\\ \left(\text{i}\right)\text{\hspace{0.17em}a=21,b=18}\left(\text{ii}\right)\text{\hspace{0.17em}a=118,b=125}\\ \left(\text{iii}\right)\text{a=75,b=84}\left(\text{iv}\right)\text{a=28,b=11}\end{array}$

Ans.

$\begin{array}{l}\left(\mathrm{i}\right)\text{\hspace{0.17em}a=21, b=18}\\ \mathrm{a}-\left(-\mathrm{b}\right)=21-\left(-18\right)=21+18=39\\ \mathrm{a}+\mathrm{b}=21+18=39\\ \mathrm{Thus},\mathrm{a}-\left(-\mathrm{b}\right)=\mathrm{a}+\mathrm{b}\\ \left(\mathrm{ii}\right)\text{\hspace{0.17em}a=118, b=125}\\ \mathrm{a}-\left(-\mathrm{b}\right)=118-\left(-125\right)=118+125=243\\ \mathrm{a}+\mathrm{b}=118+125=243\\ \mathrm{Thus},\mathrm{a}-\left(-\mathrm{b}\right)=\mathrm{a}+\mathrm{b}\\ \left(\mathrm{iii}\right)\text{\hspace{0.17em}a=75, b=84}\\ \mathrm{a}-\left(-\mathrm{b}\right)=75-\left(-84\right)=75+84=159\\ \mathrm{a}+\mathrm{b}=75+84=39\\ \mathrm{Thus},\mathrm{a}-\left(-\mathrm{b}\right)=\mathrm{a}+\mathrm{b}\\ \left(\mathrm{iv}\right)\text{\hspace{0.17em}a=28, b=11}\\ \mathrm{a}-\left(-\mathrm{b}\right)=28-\left(-11\right)=28+11=39\\ \mathrm{a}+\mathrm{b}=28+11=39\\ \mathrm{Thus},\mathrm{a}-\left(-\mathrm{b}\right)=\mathrm{a}+\mathrm{b}\end{array}$

Q.9

$\begin{array}{l}\text{Use the sign of>,

Ans.

$\begin{array}{l}\text{(a) (}-\text{8) + (}-\text{4)}\text{}\overline{)<}\text{}\text{}\text{}\text{(}-\text{8)}-\text{(}-\text{4)}\\ \text{(b) (}-\text{3) +7}-\text{(19)}\text{}\overline{)<}\text{}\text{}\text{}\text{15}-\text{8+(}-\text{9)}\\ \text{(c) 23}-\text{41+11}\text{}\text{}\overline{)>}\text{}\text{}\text{}23-41-11\\ \text{(d) 39+(}-\text{24)}-\text{(15)}\overline{)<}\text{}\text{}\text{}36+\text{(}-\text{52)}-\text{(}-\text{36)}\\ \text{(e)}-\text{231+79+51}\overline{)>}\text{}\text{}\text{}-\text{399 + 159 + 81}\end{array}$

Q.10

$\begin{array}{l}\text{Awater tank has steps inside it. A monkey is sitting on}\\ \text{the topmost step}\left(\text{i.e., the first step}\right)\text{. The water level is}\\ \text{at the ninth step.}\\ \text{}\left(\text{i}\right)\text{He jumps 3 steps down and then jumps back 2 steps}\\ \text{up.In how many jumps will he reach the water level?}\\ \text{}\left(\text{ii}\right)\text{After drinking water, he wants to go back. For this,}\\ \text{he jumps 4 steps up and then jumps back 2}\\ \text{steps down in every move. In how many jumps will he}\\ \text{reach back the top step?}\\ \text{}\left(\text{iii}\right)\text{If the number of steps moved down is represented}\\ \text{by negative integers and the number of steps moved up}\\ \text{by positive integers, represent his moves in part}\left(\text{i}\right)\text{and}\\ \text{}\left(\text{ii}\right)\text{by completing the following;}\\ \text{}\left(\text{a}\right)\text{– 3 + 2 –}\dots \text{=- 8}\\ \text{}\left(\text{b}\right)\text{4 – 2 +}\dots \text{= 8.}\\ \text{In}\left(\text{a}\right)\text{the sum}\left(\text{– 8}\right)\text{represents going down by eight}\\ \text{steps. So, what will the sum 8 in}\left(\text{b}\right)\text{represent?}\end{array}$

Ans.

$\begin{array}{l}\text{Consider the steps moved down be represented by positive}\\ \text{integers and steps moved up be represented by negative}\\ \text{integers}\text{.}\\ \left(i\right)\text{\hspace{0.17em}}\text{Initially, the monkey was at step = 1}\\ \text{After 1st jump, monkey will be at step = 1+3=4}\\ \text{After 2nd jump, monkey will be at step = 4+}\left(-2\right)\text{=2}\\ \text{After 3rd jump, monkey will be at step = 2+3=5}\\ \text{After 4th jump, monkey will be at step = 5+}\left(-2\right)\text{=3}\\ \text{After 5th jump, monkey will be at step = 3+3=6}\\ \text{After 6th jump, monkey will be at step = 6+}\left(-2\right)\text{=4}\\ \text{After 7th jump, monkey will be at step = 4+3=7}\\ \text{After 8th jump, monkey will be at step = 7+}\left(-2\right)\text{=5}\\ \text{After 9th jump, monkey will be at step = 5+3=8}\\ \text{After 10th jump, monkey will be at step = 8+}\left(-2\right)\text{=6}\\ \text{After 11th jump, monkey will be at step = 6+3=9}\\ \text{Clearly, the monkey will be at water level (i}\text{.e}\text{., 9th step)}\\ \text{after 11 jumps}\text{.}\\ \\ \text{(ii)}\\ \text{Initiall, the monkey was at step = 9}\\ \text{After 1st jump, monkey will be at step = 9+}\left(-4\right)\text{=5}\\ \text{After 2nd jump, monkey will be at step = 5+2=7}\\ \text{After 3rd jump, monkey will be at step = 7+}\left(-4\right)\text{=3}\\ \text{After 4th jump, monkey will be at step = 3+2=5}\\ \text{After 5th jump, monkey will be at step = 5+}\left(-4\right)\text{=1}\\ \text{Clearly,}\text{\hspace{0.17em}}\text{the will reach back at the top step after 5 jumps}\text{.}\\ \text{(iii) If steps moved down are represented by a negative}\\ \text{integers and steps moved up are represented bya positive}\\ \text{integers, then his moves will be as follows:}\\ \text{Moves in part (i):}\\ -\text{3+2}-\text{3+2}-\text{3+2}-\text{3+2}-\text{3+2}-\text{3=}-\text{8}\\ \text{Moves in part (ii):}\\ \text{4}-\text{2+4}-\text{2+4=8}\\ \text{Moves in part (ii) represent goin up 8 steps}\text{.}\end{array}$

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### 1. Where can students in Class 7 find the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1?

The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are available on the Extramarks website and mobile app. The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 are available online and can be downloaded by students in PDF format. To help students refer to them whenever and wherever they choose without having to connect to the internet, the PDF file is available on the Extramarks website.

### 2. How many questions have been answered in the Extramarks-provided NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1?

The Extramarks provided solutions incorporate answers to all ten of the problems in NCERT Class 7 Maths Chapter 1 Exercise 1.1.

### 3. Are the concepts in Chapter 1 made clearer by using NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1?

NCERT solutions are essential for Class 7 students’ preparation for their yearly exams. Students can use study materials like the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 to get ready for the exams. Answers alone cannot be sufficient because students also need to understand the steps that were followed to get the answer. By becoming increasingly competent at following the methods and techniques provided in the solutions, students can enhance their capacity to respond to any question of a similar nature that appears on the exam.

Will students be able to finish the question paper in the allocated time if they use the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 during their exam preparation?

To finish the exam paper within the allocated time, students should practice the NCERT textbook questions consistently. By continuously practising the questions, students’ writing becomes quicker. On the exam paper, there are also NCERT textbook questions. Students can use the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 and comprehend the various methods of solving various questions to complete the exam question paper as quickly as possible.

### 4. What benefits can a student expect from using the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1?

The NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1 provided by Extramarks include answers to every question from Exercise 1.1. There are both simple and complicated application-based problems in them. Each question has been fully solved. By following each step necessary to get to the result, the numerical problems can be easily solved. Using the Class 7 Maths Chapter 1 Exercise 1.1 Solutions, students can easily find exact solutions to all of the problems. These problems have answers that are presented in a comprehensible manner in the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1. Students will score higher on their exams if they correctly respond to these questions. If students have already practised these questions before exams, they will find it easier to respond when they take their annual exams.

### 5. When studying for exams, how should students use the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1?

Students should first read the theory before Exercise 1.1 in its entirety from beginning to end. Following that, they should practice the NCERT examples. They will learn several approaches to solving the problems in this exercise. Once they have done the examples, they should attempt all the questions in the exercises. Without using the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1, they must attempt to resolve the problems on their own. Students can finally check their answers as soon as they are finished by referring to the NCERT Solutions For Class 7 Maths Chapter 1 Exercise 1.1.