Which of the following is a property of a rational number?

It can be written in the form of p/q where p and q are integers and q ≠ 0

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The decimal form is terminating in nature

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It can have non terminating recurring decimal

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None of these

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Solution

The correct options are
A
It can be written in the form of p/q where p and q are integers and q ≠ 0

B
The decimal form is terminating in nature

C
It can have non terminating recurring decimal

Let us take an example to understand this.

$\frac{1}{3}$ = $0.333...$ is a non-terminating recurring decimal and is also represented in the form $\frac{p}{q}$ where $q \neq 0$ .
Hence, these are the properties of rational numbers.

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