## 1. Rational Number

### 1.1. Rational numbers are numbers which can be expressed as a fraction and also as positive and negative numbers and zero.

### 1.2. The word rational is derived from the word ratio, which actually means a comparison of two or more values or integer number and is known as a fraction.

### 1.3. Examples of Rational Numbers 1. ) Number 9 can be written as 9/1 where 9 and 1 both are integers. 2.) 0.5 can be written as 1/2,5/10 or 10/20 and In the form of all termination decimals. 3.) √81 is a rational number, as it can be Simplified to 9 and can be expressed as 9/1. 4.) 0.7777777 is recurring decimals and is a rational number.

## 2. Irrational Number

### 2.1. Irrational numbers have endless non-repeating digits after the decimal point.

### 2.2. Examples of Irrational Numbers 1.) 5/0 is an irrational number, with the Denominator as zero. 2.) pie is an irrational number which has Value 3.142... and is a never ending and non-repeating number. 3.) √2 is an irrational number, as it cannot be simplified . 4.) 0.212112111... is a rational number as it is non- recurring and non- terminating.

## 3. Rational and Irrational Numbers both are real number but different with respect to their properties.

## 4. Difference Between Rational And Irrational Numbers.

### 4.1. Rational Numbers

4.1.1. •It is impossible to express irrational numbers as fractions or in a ratio of two integers. • It includes surds •Here, non-terminating and non-recurring decimals are executed.

4.1.2. °It is expressed in ratio, where both numerator and denominator are the whole numbers. ° It includes perfect squares °The decimal expansion for rational number executes finite or recurring decimals.