A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.
How to identify rational numbers?
To identify if a number is rational or not, we check the conditions. i. e. It is represented in the form of p/q, where q ≠ 0 and the ratio p/q can be further simplified and get the value in a decimal form. The set of rational numbers or numerals are Include positive, negative numbers, and zero and expressed as a fraction.
Examples of Rational Numbers:
- If p = 10 q = 5, than p/q = 10/5 = 2 is a rational number.
- If p = 1 and q = 10, than p/q = 1/10 = 0.01 is a rational number.
- if p = 100 and q = 5, than p/q = 100/5 = 20 is a rational number.
Types of Rational Numbers
A number is rational if we can write it as a fraction, where both denominator and numerator are integers and denominator is a non-zero number.
- Real numbers (R) include all the rational numbers (Q).
- Real numbers include the integers (Z).
- Integers involve natural numbers(N).
- Every whole number is a rational number because every whole number can be expressed as a fraction.