Вычислите: 1. |-24|+|0|+|47|; 2. |-50:4|-|-8|-|-4,5|; 3. |5 2/3 - 7| : |2| - |-1 - 1/9|.

Решение:

1. \( |-24|+|0|+|47| = 24 + 0 + 47 = 71 \)
2. \( |-50:4|-|-8|-|-4,5| = |-12,5| - 8 - 4,5 = 12,5 - 8 - 4,5 = 4,5 - 4,5 = 0 \)
3. \( |5 \frac{2}{3} - 7| : |2| - |-1 - \frac{1}{9}| = |\frac{17}{3} - \frac{21}{3}| : 2 - |-\frac{10}{9}| = |-\frac{4}{3}| : 2 - \frac{10}{9} = \frac{4}{3} : 2 - \frac{10}{9} = \frac{4}{3} \cdot \frac{1}{2} - \frac{10}{9} = \frac{4}{6} - \frac{10}{9} = \frac{2}{3} - \frac{10}{9} = \frac{6}{9} - \frac{10}{9} = -\frac{4}{9} \)

Ответ: 1. 71; 2. 0; 3. -4/9.