Ответ:

Решение:

  1. а) \( -2\frac{1}{7} \cdot (-3.5) = -\frac{15}{7} \cdot (-\frac{35}{10}) = \frac{15}{7} \cdot \frac{35}{10} = \frac{15 \cdot 5}{10} = \frac{75}{10} = 7.5 \)
  2. б) \( (-9.8 + 25.06) : (-0.1) = 15.26 : (-0.1) = -152.6 \)
  3. в) \( (-3.45) - 8.06 - 22.83 = -3.45 - 30.89 = -34.34 \)
  4. г) \( 75.6 : 1.5 - [\left( 2.48 + \frac{1}{8} - 2.48 + 0.125 \right) : \frac{5}{4} - \frac{1}{3} \cdot 23\frac{1}{2} - 0.026] \)
    \( = 50.4 - [\left( 0.125 + 0.125 \right) : 1.25 - \frac{1}{3} \cdot \frac{47}{2} - 0.026] \)
    \( = 50.4 - [0.25 : 1.25 - \frac{47}{6} - 0.026] \)
    \( = 50.4 - [0.2 - 7.833... - 0.026] \)
    \( = 50.4 - [0.2 - 7.859] \)
    \( = 50.4 - [-7.659] = 50.4 + 7.659 = 58.059 \)

Ответ: а) 7.5; б) -152.6; в) -34.34; г) 58.059.