1) -3\(\frac{1}{8}\) \(\cdot\) 16 2) -2.84 - 5.49 3) 2 - (-6) - 8 4) -2\(\frac{4}{15}\) : \(-1\frac{7}{10}\) 5) 3\(\frac{3}{4}\) - 5\(\frac{5}{6}\)

Решение:

1. \(-3\frac{1}{8} \cdot 16 = -\frac{25}{8} \cdot 16 = -25 \cdot 2 = -50\)
2. \(-2.84 - 5.49 = -8.33\)
3. \(2 - (-6) - 8 = 2 + 6 - 8 = 0\)
4. \(-2\frac{4}{15} : (-1\frac{7}{10}) = -\frac{34}{15} : (-\frac{17}{10}) = \frac{34}{15} \cdot \frac{10}{17} = \frac{34 \cdot 10}{15 \cdot 17} = \frac{2 \cdot 17 \cdot 2 \cdot 5}{3 \cdot 5 \cdot 17} = \frac{4}{3} = 1\frac{1}{3}\)
5. \(3\frac{3}{4} - 5\frac{5}{6} = \frac{15}{4} - \frac{35}{6} = \frac{15 \cdot 3 - 35 \cdot 2}{12} = \frac{45 - 70}{12} = -\frac{25}{12} = -2\frac{1}{12}\)

Ответ: 1) -50; 2) -8.33; 3) 0; 4) 1\(\frac{1}{3}\); 5) -2\(\frac{1}{12}\).