4.300 Найдите значение произведения: a) \(\frac{4}{9} \cdot (-\frac{1}{2})\); B) \(2,4 \cdot (-\frac{3}{4})\); д) \(-2,7 \cdot (-\frac{1}{9})\); б) \(-4\frac{4}{5} \cdot (-\frac{3}{3})\); г) \(-\frac{5}{9} \cdot 5,4\); e) \(-1\frac{2}{3} \cdot 0,125\).

1. a) \[\frac{4}{9} \cdot (-\frac{1}{2}) = -\frac{4 \cdot 1}{9 \cdot 2} = -\frac{4}{18} = -\frac{2}{9}\]
2. б) \[-4\frac{4}{5} \cdot (-\frac{3}{3}) = -\frac{24}{5} \cdot (-1) = \frac{24}{5} = 4.8\]
3. в) \[2,4 \cdot (-\frac{3}{4}) = \frac{24}{10} \cdot (-\frac{3}{4}) = \frac{12}{5} \cdot (-\frac{3}{4}) = -\frac{12 \cdot 3}{5 \cdot 4} = -\frac{36}{20} = -\frac{9}{5} = -1.8\]
4. г) \[-\frac{5}{9} \cdot 5,4 = -\frac{5}{9} \cdot \frac{54}{10} = -\frac{5 \cdot 54}{9 \cdot 10} = -\frac{270}{90} = -3\]
5. д) \[-2,7 \cdot (-\frac{1}{9}) = -\frac{27}{10} \cdot (-\frac{1}{9}) = \frac{27}{10 \cdot 9} = \frac{27}{90} = \frac{3}{10} = 0.3\]
6. e) \[-1\frac{2}{3} \cdot 0,125 = -\frac{5}{3} \cdot \frac{125}{1000} = -\frac{5}{3} \cdot \frac{1}{8} = -\frac{5 \cdot 1}{3 \cdot 8} = -\frac{5}{24}\]

Ответ:

• a) -\[\frac{2}{9}\]
• б) 4.8
• в) -1.8
• г) -3
• д) 0.3
• e) -\[\frac{5}{24}\]