1. Найди значения выражений: a) 2.4 - (-1 1/3); б) (4.75 - 8.2) : (-0.01); в) 2.56 · (-40.5) - 6.38: г) 14.07 : 3.5 + [(3.36 + 3/8 - 3.36 - 0.125) : 1/4 · 0.8 - 0.072] · (5.8 + 4 1/5)

Решение:

1. а) 2.4 - (-1 1/3)
   \( 2.4 - (\frac{-4}{3}) = \frac{12}{5} + \frac{4}{3} = \frac{36 + 20}{15} = \frac{56}{15} = 3 \frac{11}{15} \)
2. б) (4.75 - 8.2) : (-0.01)
   \( (4.75 - 8.2) : (-0.01) = -3.45 : (-0.01) = 345 \)
3. в) 2.56 · (-40.5) - 6.38
   \( 2.56 \cdot (-40.5) - 6.38 = -103.68 - 6.38 = -110.06 \)
4. г) 14.07 : 3.5 + [(3.36 + 3/8 - 3.36 - 0.125) : 1/4 · 0.8 - 0.072] · (5.8 + 4 1/5)
   \( 3/8 = 0.375 \), \( 4 \frac{1}{5} = 4.2 \)
   \( 14.07 : 3.5 = 4.02 \)
   \( 3.36 + 0.375 - 3.36 - 0.125 = 0.25 \)
   \( 0.25 : \frac{1}{4} = 0.25 \cdot 4 = 1 \)
   \( 1 \cdot 0.8 = 0.8 \)
   \( [0.8 - 0.072] = 0.728 \)
   \( 0.728 \cdot (5.8 + 4.2) = 0.728 \cdot 10 = 7.28 \)
   \( 4.02 + 7.28 = 11.3 \)

Ответ: а) 3 11/15; б) 345; в) -110.06; г) 11.3.