- Trending Categories
- 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

# Are the following statements true or false?Give reason for your answer.Every rational number is an integer.

Given:

Every rational number is an integer.

To find:

We need to check whether the given statement is true or false.

Solution:

Integers:

Integers are like whole numbers, but they also include negative numbers.

• It includes negative numbers $(-1, -2, -3, -4, ………)$

• It includes positive numbers $(1, 2, 3, 4, 5, ………)$

• It includes Zero

• Decimal number and fractions are not included in integers.

Rational Numbers:

A number that can be expressed in the form $\frac{p}{q}$ where p and q are integers and q is not equal to zero is a rational number.

Rational numbers like $\frac{5}{2}$, $\frac{-10}{3}$ are not integers.

Therefore, every rational number is not an integer.

The given statement is false.

Advertisements