Which phrase does NOT describe a rational number?
A. Repeating Decimal.
B. Integer Number.
C.non-repeating, non-terminating decimal
D. terminating decimal
25 Points Worth

Respuesta :

Answer:

C. Non-repeating and non-terminating.

Step-by-step explanation:

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

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

So, option B represents a rational number.

Let us consider, [tex]\frac{25}{49}[/tex] = 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.