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Question

Which of the following statement is not correct regarding rational number?


A

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

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B

It cannot be represented on a number line.

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C

It can have non terminating recurring decimal.

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D

It can have terminating decimal form.

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Solution

The correct option is B

It cannot be represented on a number line.


Any rational number can be expressed in the form pq, where p and q are integers and q is not equal to zero.
Let us take few examples to understand.

Decimal form of a rational number can be non-terminating recurring.
Example: 13 = 0.¯¯¯¯¯¯33 (Non terminating recurring)

Decimal form of a rational number can also be terminating.
Example: 25=0.4 (Terminating in nature)

Also, all rational numbers can be represented on a number line.


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