Which of the following rational numbers has a non-terminating repeating decimal expansion?
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Question

Which of the following rational numbers has a non-terminating repeating decimal expansion?

Accepted Answer

The correct answer is D ($\frac{7}{80}$). Wait, let's check: $80 = 2^4 	imes 5^1$ (terminating). Let's check another option. Let's make option B: $\frac{13}{3125}$ ($3125 = 5^5$, terminating). Let's check $\frac{64}{455}$: $455 = 5 	imes 7 	imes 13$ (non-terminating repeating). Let's put $\frac{64}{455}$ in the options.

Real Numbers

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