__Rational Number – Its Decimal Representation__

__Rational Number – Its Decimal Representation__

**Decimal Representation of Rational Numbers** are broadly classified into 2(two) groups:

- Terminating Decimal Representation
- Non-Terminating, Repeating Decimal Representation

Any Rational Number can be expressed in Decimal Form either as Terminating **DR** or Non-Terminating, Repeating **DR**.

Let us understand this concept with a suitable example.

In order to know its **DR,** we have to divide 23 by 8 that is 23 ÷ 8.

(For better understanding, we can write 23 as 23.000)

On Dividing 23 by 8, the reminder terminates that is the reminder becomes 0(zero).

In general we can say that, **a Rational Number has its Terminating DR if and only if, it has an end digit**.

__Rational Number – Its Decimal Representation__ (Continued……………….)__ __

__Rational Number – Its Decimal Representation__(Continued……………….)

Again, Let us consider a rational number

In order to know its **DR**, we have to divide 323 by 99 that is 323 ÷ 99 (For better understanding, we can write 323 as 323.000000)

On Dividing 323 by 99, we see that the decimal parts continue endlessly with number of groups of digits repeated again & again and so we can say its **DR** is Non-Terminating, Repeating **DR**.

Complementary Angles, Supplementary Angles & Linear Pair Axiom and its Converse

In general, we can say that **a Rational Number has its Non-Terminating, Repeating Decimal Representati0n if and only if its decimal parts continue endlessly with number of groups of digits repeated again & again.**

**Application of Rational Numbers:**

*One can observe or realize the application of rational numbers in their day to day life:-**1) For calculation of Tax Calculation in the form of fractions. *

*2) Calculation of Interest rates on loans and mortgages, Savings Account and so on.**3) Homework not completed by students. In such a case, response comes as half portion or 50% etc completed.**4) During share of a pizza or anything with someone.*