The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

We regularly deal with numbers. Numbers are an inherent part of our day to day life. Whatever simple numbers that we deal with can be classified as **integers**. **Integers** can also be used to depict your profits and losses. **Integers** always have 1 as their denominator.

**Integers** are numbers that can be depicted on a number line. They can be of three types and are not fractions. **Integers** are also not improper fractions and have a denominator 1. Let’s check the different types of **integers** along with the examples.

**Integers** can be used to perform different operations such as addition, multiplication, or subtraction. In any arithmetic operations if we use **integers**, then the result is also an integer. There are different properties of **integers** that are given below in this article.

**Integers** can be classified into three broad types. They are as follows:

**Positive Integers:**Numbers that are positive in nature are called positive**integers**. These numbers are depicted on the right side of the origin on a number line. Examples: 1, 5, 555, 6852, 884, etc.

**Negative Integers:**Numbers that are negative in nature are called negative**integers**. These numbers are depicted on the left side of the origin on a number line. Example: -54, -65, -5425, etc.**Zero:**Zero comes in between the number line and is considered the origin for both the positive and negative**integers**.

**Closure Property:**It states that the result is an integer on addition or multiplication of two or more**integers**. For example, 5 + 6 = 11. Here, all the numbers (5, 6, and 11) are**integers**.**Commutative Integers Property:**Going by this integer property, the following conditions hold true:- A + B = B + A
- A * B = B * A
- Where A and B are unique numerical values that are
**integers**. **Associative Property:**Going by this property, the following condition holds true for any three**integers**:- A + (B + C) = (A + B) + C
- A * (B * C) = (A * B) * C
- Where A, B, and C are unique numerical values that are
**integers**. **Distributive Property:**Going by this property, the following condition holds true for any three**integers**:- A * (B + C) = A * B + A * C
- Where A, B, and C are unique numerical values that are
**integers**. **Additive Inverse Property:**Additive inverse of any integer is the negative of that integer. Essentially, the sum of the integer and additive inverse should be zero.- A + (-A) = 0, where A is any integer.
**Multiplicative Inverse Property:**Multiplicative inverse of any integer is the reciprocal of that integer. Essentially, the multiplication of the integer and its multiplicative inverse should be 1.- A * (1/A) = 1, where A is any integer.

**Addition of Integers**: We can add two or more**integers**to get an integer. For example, 5 + 54 = 59.**Subtraction of Integers**: We can subtract any integer from another integer. Example, 65 – 5 = 60. We can even depict the**subtraction of integers with the help of a number line**.

**Multiplication**: We can perform multiplication on**integers**to get an integer.**Division**: Division of two**integers**results in an integer quotient and integer remainder.

**Integers** are an integral concept in our life and are the basis of studying maths and physics. In maths, we start with the number system, and **integers** are a part of the number system. You can find **integers** in almost everything in your life. For example, the money you withdraw from the ATM, or the loss that your business incurred can be depicted using negative **integers** and more.

**What are integers?**

Any number that cannot be a fraction or a complex number is **integers**. They can be negative, positive, or zero, and occupy a place on the number line.

**What is an integer formula?**

There is no special formula for calculating **integers**, as they are the basic elements of the number line. However, we can perform various operations on the **integers**, such as addition, subtraction, multiplication, and division. We can even convert one form of **integers** to another form, such as positive to negative **integers**.

**What are the examples of integers?**

**Integers** are common numbers that can be positive, negative, or zero. The examples of **integers** are 1, 3, 4, -5, -54, 0, etc.

**What are the types of integers?**

**Integers** can be of three types. They can be a positive integer, negative integer, and zero.

**What is an integer number in math?**

In maths, the integer is a class of numbers that can be positive, negative, and zero and can be depicted on the number line. They cannot be fractional or complex numbers.

**What are the integers from 1 to 10?**

**Integers** from 1 to 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. There are a total of 10 positive **integers** between 1 to 10.

Try MSVgo, a video-based learning app that can help you understand different kinds of numbers easily. We have multiple varieties of numbers in maths, including **integers**. The video tutorials will help you understand the concept easily.