NCERT Solutions Class 7 Mathematics Chapter 1

NCERT Solutions for Class 7 Mathematics Chapter 1 Integers

The two important aspects of improving Mathematics are understanding concepts and practicing problems on a daily basis. To make room in a highly competitive environment, students must lay a strong foundation of the subject in their early years.

NCERT Class 7 Mathematics Chapter 1 deals with integers. We learned about whole digits and integers in previous classes. We’ll now move further into integers, their properties, and operations. Similarly, we will also learn about integer addition and subtraction, integer addition and subtraction properties, integer multiplication and division, and integer multiplication and division properties.

NCERT Solutions for Class 7 Mathematics Chapter 1 

Access NCERT Solutions for Mathematics Chapter 1 – Integers

Chapter 1 encourages students in gaining a better understanding of the number system and solving complex problems  with ease in subsequent classes. As a result, students should be familiar with every topic and practise in-text and end-text questions to erase ‘maths phobia’  and develop interest in Mathematics. Meanwhile, let’s review the key topics covered in Class 7 Mathematics Chapter 1:

Section Number Section Title
1 Introduction to Integers
2 Properties of Addition and Subtraction of Integers
3 Multiplication of Integers
4 Multiplication of a Positive and Negative Integer
5 Multiplication of two negative integers
6 Properties of Multiplication of Integers
7 Division of Integers
8 Properties of Division of Integers

1.1 Introduction of Integers

Integers are part of a larger collection of numbers that includes both whole and negative numbers. The student will learn more about integers, their properties, and operations in this chapter. They will also learn about number concepts similar to those covered in the previous class, such as the number line, in this section.

1.2 Properties of Addition and Subtraction of Integers

Children will learn the addition and subtraction of integers, which will make it easier for them to perform simple calculations in day-to-day life. 

1.3 Multiplication of Integers

Multiplying numbers may be a simple concept. It is important to remember the positive or negative  number sign while multiplying the integers. This is most useful when simplifying an equation. 

1.4 Multiplication of a Positive and Negative Integer

This topic demonstrates with examples how we always get a negative integer by multiplying a positive integer and a negative integer. 

1.5 Multiplication of two negative integers

This topic explains how we always get a positive integer by multiplying a negative integer and a negative integer. 

1.6 Properties of Multiplication of Integers

  • By multiplying two positive integers and two negative integers, we get a positive integer.
  • We get a negative integer by multiplying a positive integer with a negative integer
  • We get  zero by multiplying any integer with zero

1.7 Division of Integers

It means division in which the fractional part(remainder) is discarded is called integer division.

1.8 Properties of Division of Integers

  • We get a positive integer by dividing two positive integers and two negative integers.
  • We get a negative integer by dividing a positive integer with a negative integer.
  •  Zero divided  by any number is zero.
  •  Any number divided by zero is infinite.

NCERT Solutions for Class 7 Chapter 1 Mathematics Integers –

Integers are numbers that are not fractions and can be positive, negative, or zero. These numbers can be used for addition, subtraction, multiplication, and division. Integers help evaluate efficiency in both positive and negative numbers in every field. For example   temperature, sea level, and other real-life integers. 

Exercise 1.1 will refresh your memory on the number line, how to present integers on the number line, how to arrange integers in ascending and descending order, what is a positive and negative integer, how to add and subtract positive and negative integers, and how to represent them on the number line. 

The properties  of Addition and Subtraction of Integers is covered in Exercise 1.2. You’ll see how integer addition is commutative for integers but not for integer subtraction. 

In Exercise 1.3, you will learn about the properties of  multiplication of integers. 

Topics related to the division of integers are covered in Exercise 1.4. Multiplication is the inverse operation of division and its properties 

Students will explore the negative set of whole number values, as well as how they are represented on a number line. By understanding the number system, students can easily be acquainted with newly introduced number terminology in higher classes, such as rational numbers, irrational numbers, and so on. Keeping this in mind, Extramarks has designed NCERT Solutions Class 7 Mathematics Chapter 1 in such a way that students can quickly revise these basic Mathematical concepts before moving on to the next academic year.  

Properties of Integers

Numbers for addition and multiplication through patterns are  a part of the properties of integers. They also take into account the whole numbers. Integers involve expression of communicative and associative properties in a general form.

Facts:

  • Natural numbers are the counting numbers such as 1, 2, 3, 4, 5, and so on, whereas whole numbers are the set of natural numbers plus zero, such as 0, 1, 2, 3, 4, 5, and so on.
  • On a number line, negative integers are represented by points to the left of zero, and positive integers are represented by points to the right of zero.
  • For negative integers to the left of zero and positive integers to the right of zero, the integer 0 serves as an additive identity.
  • 0 is neither a positive nor a negative integer.
  • The numerical value of an integer, regardless of its sign, is its absolute value. | a | denotes the absolute value of an integer a.

Number Line

Natural numbers, negative and positive numbers, and whole numbers are all represented on a number line. To determine numerical operations, the identities are marked at equal intervals on a line. Number lines are significant because they represent numbers that we use every day.

How to Draw a Number Line: 

  1. Draw  a straight line of any length.
  2. To divide the drawn line into the required number, mark points at fixed distances on it.
  3. Any of the points marked on the line in step 2 should be marked as 0. 
  4. Starting at 0, write the positive numbers + 1, + 2, + 3, and so on on the right-hand side of the line. Similarly, starting at 0, mark the negative integers -1, -2, -3, and so on on the left side.
  5. The numbers continue to infinity on both sides of the drawn line, as indicated by the arrowheads on both sides of the drawn line. 

NCERT Solutions for Class 7 Mathematics

In CBSE Class 7, integers, algebraic expressions, fractions, and decimals are all part of the solved exercises. As a result, learning this challenging subject and clarifying their doubts  will aid students in their preparation for  higher classes as well. Extramarks offers CBSE Class 7 Mathematics study materials that will help students achieve higher marks in the exam. Sample papers, past years’ question papers, and NCERT Solutions are all part of our study materials.  Students must practice and revise NCERT solutions to build a strong foundation.

You can use our NCERT textbook solutions to bridge the knowledge gap and stay motivated.  Extramarks subject matter experts have created study materials for CBSE Class 7 Mathematics. They are available  on Extramarks official website. 

NCERT Solutions Class 7 Maths Chapter-wise List
Chapter 1 – Integers
Chapter 2 – Fractions and Decimals
Chapter 3 – Data Handling
Chapter 4 – Simple Equations
Chapter 5 – Lines and Angles
Chapter 6 – The Triangle and Its Properties
Chapter 7 – Congruence of Triangles
Chapter 8 – Comparing Quantities
Chapter 9 – Rational Numbers
Chapter 10 – Practical Geometry
Chapter 11 – Perimeter and Area
Chapter 12 – Algebraic Expressions
Chapter 13 – Exponents and Powers
Chapter 14 – Symmetry
Chapter 15 – Visualising Solid Shapes

NCERT Solutions for Class 7

In CBSE Class 7, learning the fundamentals is crucial  because the fundamentals learned now will come handy later. Students require solid training and study materials that will assist them in achieving high exam scores and simplifying all of their concepts. Extramarks provides CBSE Class 7 study materials to help students prepare for their exams. 

Our CBSE Class 7 study materials are created by experienced faculty . We have textbook solutions, especially NCERT Solutions Class 7, which have simplified solutions to the textbook questions for each chapter.Our textbook solutions also assist students in completing home assignments and  mastering all concepts. 

Extramarks offers study materials that are updated regularly to reflect the most recent CBSE Syllabus. The systemic and well-laid-out balanced study plan boosts their performance naturally and effortlessly.

Chapter 1 - Integers Exercise

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

FAQs (Frequently Asked Questions)

There are four exercises in Class 7 Mathematics Chapter 1 Integers.  

The first exercise consists of ten questions (Ex 1.1). 

The second exercise consists of four questions (Ex 1.2). Question 1 is divided into three sections, question 2 is divided into three sections, and question 4 is divided into five sections.

There are 9 questions in the third exercise (Ex 1.3). Question 2 is made up of two parts, question 3 is made up of two parts, and question 5 is made up of eight parts.

There are seven questions in the fourth exercise (Ex 1.4). Question 1 is divided into nine parts, while question 2 is divided into two parts.

As a result, there are a total of 30 questions in Chapter 1 (Integers) of Class 7 Mathematics.

In the CBSE Class 7 Mathematics Integers Chapter, there are a total of seven exercises.

Definitely! Because these questions are important from the examination point of view. . Subject matter experts have answered these questions to assist students in completing the exercise with ease.  These NCERT Solutions assist students by encouraging them to become better learners and strive to feed their insatiable curiosity.

It takes about a week to complete the NCERT Class 7 Mathematics Chapter 1, but we recommend that you practice , again and again, to significantly improve your performance.

It is neither easy nor difficult to complete 7th Class Mathematics Chapter 1. Because some parts of this chapter are easy and others are difficult, it falls somewhere in between easy and difficult. The difficulty level of each chapter, however, varies from student to student. As a result, whether the chapter is easy or difficult depends on the individual. Some students find it difficult, while others may find it easy.

Because the CBSE syllabus is based on the NCERT textbooks, NCERT solutions Class 7 Mathematics assist CBSE students in preparing for their exams.  Moreover, these solutions instil a deep understanding of the subject and assist students in resolving their doubts while solving problems and motivates them to improve their performance and stay ahead of the competition.