- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Why is the concept of $\frac{p}{q}$ important in rational numbers?
The term rational in reference to the set Q (of rational numbers) refers to the fact that a rational number represents a ratio of two integers. This is by definition that we take all those numbers of the form $\frac{p}{q}$(a ratio) where p and q are integers and q is not zero, to be rational numbers. And those numbers that cannot be expressed in p/q form are called irrational numbers.
Clearly $\frac{p}{q}$ form is important because it shows rational numbers represent ratios of two integers.
Eg: Of rational numbers $\frac{2}{3}$ ,$\frac{6}{7}$, $\frac{112}{67}$ and so on
Rational numbers are also terminating and non-terminating repeating decimals.
Advertisements