Step-by-step explanation:

Integers is a collection of numbers formed by whole numbers and negative numbers.

In the beginning, a quick recap of the integers and their representation on the number line, operations like ADDITION, subtraction etc that can be performed on them, additive inverse, negative integers are some of the TOPICS given.

This is followed by a detailed description of the topic Properties of Addition and Subtraction of Integers is given.

Properties listed in this section are:

1. Closure under addition

2. Closure under subtraction

3. Commutative property

4. Associative property

5. Additive identity

All of these mentioned above are explained with the help of examples. The concept of Multiplication of Integers is covered in detail and contains various SUBSECTION which focuses more deeply on the operation of multiplication of integers:

Multiplication of a positive and a negative integer

Multiplication of two negative integers

Product of three or more negative integers

There are various properties associated with the multiplication of integers:

Closure under multiplication

Commutativity of multiplication

Multiplication by zero

Multiplicative identity

Associativity for multiplication

Distributive property

Making multiplication easier

Division of the Integers is the last topic of the chapter - Integers. Properties of the division of integers are discussed in this section.

Students will learn these two points:

1. When a positive integer is divided by a negative integer, the quotient obtained is a negative integer and vice- versa.

2. Division of a negative integer by another negative integer gives a positive integer as quotient.

Also, we observer that

a divided by zero is undefined

a divided by 1 is a

A total of 4 unsolved exercises are given in this chapter to make the concept more clear.

Summarization of all the important points of the chapter at the END.