When the numbers $5.07 \overline{6}, 5.0 \overline{6}, 5.07,5.076,5 . \overline{076}$ are arranged in increasing order, the number in the middle is
(A) $5.07 \overline{6}$
(B) $5.0 \overline{76}$
(C) 5.07
(D) 5.076
(E) $5 . \overline{076}$
We write out the five numbers to 5 decimal places each, without doing any rounding:

$$
\begin{aligned}
 5.07 \overline{6} & =5.07666 \ldots \\
 5.0 \overline{76} & =5.07676 \ldots \\
 5.07 & =5.07000 \\
 5.076 & =5.07600 \\
 5 . \overline{076} & =5.07607 \ldots
\end{aligned}
$$

We can use these representations to order the numbers as

$$
 5.07000,5.07600,5.07607 \ldots, 5.07666 \ldots, 5.07676 \ldots
$$

so the number in the middle is $5 . \overline{076}$.

ANSWER: (E)

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