а) \((-3.6 \cdot 0.4 - 2.7) \cdot (-10)\)
1. \((-3.6 \cdot 0.4 = -1.44\))
2. \((-1.44 - 2.7 = -4.14\))
3. \((-4.14 \cdot (-10) = 41.4\))
Ответ: 41.4
б) \(-4.04 \cdot 1.5 - 8.6 \cdot (-2.5)\)
1. \((-4.04 \cdot 1.5 = -6.06\))
2. \((8.6 \cdot (-2.5) = -21.5\))
3. \((-6.06 - (-21.5) = -6.06 + 21.5 = 15.44\))
Ответ: 15.44
в) \(-\frac{5}{12} \cdot 2\frac{2}{3} - 7\frac{2}{3} \cdot (-\frac{1}{6})\)
1. \(-\frac{5}{12} \cdot \frac{8}{3} = -\frac{5 \cdot 8}{12 \cdot 3} = -\frac{40}{36} = -\frac{10}{9}\)
2. \(7\frac{2}{3} = \frac{23}{3}\)
3. \(-\frac{23}{3} \cdot (-\frac{1}{6}) = \frac{23 \cdot 1}{3 \cdot 6} = \frac{23}{18}\)
4. \(-\frac{10}{9} + \frac{23}{18} = -\frac{20}{18} + \frac{23}{18} = \frac{3}{18} = \frac{1}{6}\)
Ответ: \(\frac{1}{6}\)
г) \((-1\frac{3}{7} \cdot 4\frac{2}{3} + 1\frac{7}{9}) \cdot (-\frac{3}{4})\)
1. \(-1\frac{3}{7} = -\frac{10}{7}\)
2. \(4\frac{2}{3} = \frac{14}{3}\)
3. \(-\frac{10}{7} \cdot \frac{14}{3} = -\frac{10 \cdot 14}{7 \cdot 3} = -\frac{140}{21} = -\frac{20}{3}\)
4. \(1\frac{7}{9} = \frac{16}{9}\)
5. \(-\frac{20}{3} + \frac{16}{9} = -\frac{60}{9} + \frac{16}{9} = -\frac{44}{9}\)
6. \(-\frac{44}{9} \cdot (-\frac{3}{4}) = \frac{44 \cdot 3}{9 \cdot 4} = \frac{132}{36} = \frac{11}{3} = 3\frac{2}{3}\)
Ответ: \(3\frac{2}{3}\)