NCERT Solutions for Class 7 Maths, Chapter 1 - Integers

The NCERT Class 7 Syllabus is related to class 6 and class 8 to a great extent. This is because Class 7 mathematics syllabus is the continuation of class 6 syllabus and it, in turn, becomes the basis for class 8 learning. The NCERT Class 7 Mathematics Chapter 1 – Integers, is an extension of the Integers chapter that you have already studied in class 6. It acts as a revision of the topics learnt and helps the students understand the concept of Integers better. In this chapter, one will learn more about Integers, their properties and operations. The chapter deals with all the basic mathematical operations of Integers and the rules applicable while performing such operations. To gain more insight on Class 7 Maths Chapter 1, let’s look at the topics and sub-topics of this chapter:

1.2 Recall

1.3 Properties of Addition and Subtraction of Integers

1.4 Multiplication of Integers

1.5 Properties of Multiplication of Integers

1.6 Division of Integers

1.7 Properties of Division of Integers

In Class 7 Maths Chapter 1, you will learn –

Section 1.2 – Representing integers on a number line helps to learn the other operation of Integers. The integers are placed on the number line based on its positive or negative signs and the operations are done to find the solution. This is the simplest way of solving problems related to integers.

Section 1.3 – The different properties of addition and subtraction of integers need to be understood for doing the operations. There are properties like Closure Property for Addition and Subtraction, Commutative Property, Associative Property, Additive Identity of Integers. These properties form the basis of solving problems on integers.

Section 1.4 – This section deals with the multiplication of Integers and the rules associated with it. The multiplication of a Positive Number and a Negative Number, the solution can be found using the number line. Multiplication of two negative integers result in a Positive Integer; such properties need to be studied to understand the multiplication of Integers well. It also highlights the discoveries of the Swiss mathematician Leonhard Euler, who, in his book, was the first to attempt to prove (-1) x (-1)= +1.

Class 7 Integers chapter gives one a great exposure to the properties of integers. It also gives one a clear understanding of all the rules and different steps to be followed to derive the right solution for any problem related to integers. It gives one a practical exposure by a wide range of exercises, which help one to logically apply all the properties and find solutions to problems related to integers.

Section 1.5 – Just like the properties of addition, there are properties of multiplication of integers. In this one learns, the different properties of multiplication like Closure Property, Commutative Property, Multiplicity by Zero, Multiplicative Identity, Associative Property, Distributive Property. It consists of exercises to make multiplication easy.

Section 1.6 – This section deals with the division of integers. It gives a detailed explanation regarding the steps to be followed for the division of integers.

Section 1.7 – This section provides a deeper understanding of properties of the division of integers. The rules are applicable when dividing an integer by 1 or 0. These properties make it easier to solve any problem related to the division of integers.

To know more about the NCERT solutions Class 7 Maths, Chapter 1 – Integers, explore the exercises below: