Question

Which phrase does NOT describe a rational number?

Answer 1

Answer:

C. Non-repeating and non-terminating.

Step-by-step explanation:

We know that, rational numbers are of the form $\frac{p}{q}$, where q≠0 and p,q are integers.

If we take q=1, then the rational number is $\frac{p}{1}$ = p, where p is an integer.

So, option B represents a rational number.

Let us consider, $\frac{25}{49}$ = 0.31645569620253.

So, we can see that a rational number can be written in the form of repeating and terminating decimals.

So, option A and D also represents a rational number.

Therefore, option C i.e. non-repeating and non-terminating does not represents a rational number as it represents an irrational number.

Hence, option C is correct.