The question is, **are all integers part of rational numbers ?**

To understand the explanation, you should have basic understanding of the concept of integers and rational numbers.

Let us revise both the concepts.

## What are Integers ?

All the** numbers that are not fraction or decimals** are known as **integers**.

Numbers like -4, 8, 13, -26, 106 etc. are the examples of integers.

Note that **integers also contain negative numbers**.

If you want to understand about** integers in detail**, click the red link.

## What are rational numbers ?

The numbers which can be **arranged in the form of P / Q** are called **rational numbers**.

Where, P & Q are integers.

The numbers like \mathtt{\frac{7}{3} ,\ \frac{5}{6} ,\ \frac{40}{8}} are all examples of rational numbers.

Note that the** rational numbers can be in form of integers or decimals**.

If you want to understand the **concept of rational number in detail**, click the red link.

## Is every integer a rational number ?

The answer is YES !!

We can **express any given integer in the form of P / Q by inserting 1 as denominator**.

**For example;**

Consider integer number 7

If we insert denominator 1, the number will remain unchanged.

\mathtt{7\ \Longrightarrow \ \frac{7}{1}}

Since, we have expressed the integer in form of P / Q, it is a part of rational number.

**Conclusion**

Every integer possible is also a rational number.

## All integers are rational number – solved examples

Given below are some examples for your further understanding.**(i) -22**

-22 is an integer which can also be written as \mathtt{\frac{-22}{1}}

Since the number can be expressed in form of P / Q, the given number is also a rational number.

(i**i) 913**

Inserting 1 in the denominator will not change the number.

\mathtt{913\ \Longrightarrow \ \frac{913}{1}}

Since the number is expressed in form of P/Q, it is a rational number.