What is a Rational Number?

 

What is a Rational Number?

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. Also, we can say that any fraction fits under the category of rational numbers, where the denominator and numerator are integers and the denominator is not equal to zero. When the rational number (i.e., fraction) is divided, the result will be in decimal form, which may be either terminating decimal or the repeating decimal. 

How to identify rational numbers?

To identify if a number is rational or not, check the below conditions.

• It is represented in the form of p/q, where q≠0.
• The ratio p/q can be further simplified and represented in decimal form.

The set of rational numerals:

1. Include positive, negative numbers, and zero
2. Can be expressed as a fraction

Examples of Rational Numbers: 

p	q	p/q	Rational
10	2	10/2 =5	Rational
1	1000	1/1000 = 0.001	Rational
50	10	50/10 = 5	Rational