1. Вычислите: 1) 2-(-6)-8; 2) -2,84-5,49; 3) 3 1/5 - 5 5/6; 4) -2 4/15 - 3 1/6; 5) -3 1/10 - 1 1/6

1. Вычисления:

1. \( 2 - (-6) - 8 = 2 + 6 - 8 = 8 - 8 = 0 \)
2. \( -2,84 - 5,49 = -8,33 \)
3. \( 3 \frac{1}{5} - 5 \frac{5}{6} = \frac{16}{5} - \frac{35}{6} = \frac{16 \cdot 6 - 35 \cdot 5}{30} = \frac{96 - 175}{30} = \frac{-79}{30} = -2 \frac{19}{30} \)
4. \( -2 \frac{4}{15} - 3 \frac{1}{6} = - \left( 2 \frac{4}{15} + 3 \frac{1}{6} \right) = - \left( \frac{34}{15} + \frac{19}{6} \right) = - \left( \frac{34 \cdot 2 + 19 \cdot 5}{30} \right) = - \left( \frac{68 + 95}{30} \right) = - \frac{163}{30} = -5 \frac{13}{30} \)
5. \( -3 \frac{1}{10} - 1 \frac{1}{6} = - \left( 3 \frac{1}{10} + 1 \frac{1}{6} \right) = - \left( \frac{31}{10} + \frac{7}{6} \right) = - \left( \frac{31 \cdot 3 + 7 \cdot 5}{30} \right) = - \left( \frac{93 + 35}{30} \right) = - \frac{128}{30} = -4 \frac{8}{30} = -4 \frac{4}{15} \)

Ответ: 1) 0; 2) -8,33; 3) \(-2 \frac{19}{30}\); 4) \(-5 \frac{13}{30}\); 5) \(-4 \frac{4}{15}\).