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A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.

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cairde cairde · Answer 2 · 2021-10-19T15:55:43+02:00

Answer:

C. 17.156

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].

Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.

- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.