How to determine that a number is a Rational Number
Condition for rational numbers
In this section we will learn how to determine that a number is rational or not, or conditions for a rational number.
1. Any number that can be expressed as a fraction or ratio, where denominator and numerator both are integers and denominator does not equal to zero.
Example: Number 3 is a rational number because it can be expressed as 3/1.
Number 5 is a rational number because it can be expressed as 5/1.
This means natural numbers, whole numbers and integers all of the set of rational numbers, because they can be written as fractions.
2. The number of digits after the decimal point will be limited.
Example: 6.354278, 9.143286
3. The numbers after the decimal point are infinitely repeating.
Example: 5.333333…., 0.444444……
4. The pattern of numbers after the decimal point are infinitely repeating.
Example: 2.15151515…., 0.285714285714…..