Решение:
Для определения числа с наибольшим модулем, найдём модуль каждого числа:
- \( |-5\frac{1}{5}| = 5\frac{1}{5} = 5.2 \)
- \( |10| = 10 \)
- \( |0.74| = 0.74 \)
- \( |-13.4| = 13.4 \)
- \( |104.2| = 104.2 \)
- \( |-0.01| = 0.01 \)
- \( |0.65| = 0.65 \)
- \( |101 \frac{6}{10}| = 101.6 \)
- \( |4| = 4 \)
- \( |-\frac{41}{10}| = \frac{41}{10} = 4.1 \)
- \( |4.01| = 4.01 \)
- \( |-4\frac{2}{5}| = 4\frac{2}{5} = 4.4 \)
- \( |2\frac{3}{5}| = 2\frac{3}{5} = 2.6 \)
- \( |-2.4| = 2.4 \)
- \( |2.41| = 2.41 \)
- \( |-\frac{14}{5}| = \frac{14}{5} = 2.8 \)
- \( |-1.6| = 1.6 \)
- \( |1\frac{7}{10}| = 1.7 \)
- \( |-1.71| = 1.71 \)
- \( |-\frac{9}{5}| = \frac{9}{5} = 1.8 \)
- \( |0.2| = 0.2 \)
- \( |-0.21| = 0.21 \)
- \( |0.19| = 0.19 \)
- \( |-0.3| = 0.3 \)
Наибольший модуль — \( |104.2| \).
Ответ: 104,2