1. The five numbers $\frac{1}{4}, \frac{4}{10}, \frac{41}{100}, 0.04,0.404$ are to be listed from smallest to largest. Which number will be in the middle of the list?
1. We write each of the three given fractions as a decimal:
$$
\frac{1}{4}=0.25 \quad \frac{4}{10}=0.4 \quad \frac{41}{100}=0.41
$$

The five numbers are thus $0.25,0.4,0.41,0.04,0.404$.
Re-writing this list in increasing order, we obtain $0.04,0.25,0.4,0.404,0.41$.
Therefore, the middle number is 0.4 or $\frac{4}{10}$.
ANSWER: $\frac{4}{10}$