Ответ: а) 7200; б) 7700; в) 1; г) -\frac{1}{4}; д) -5; е) -\frac{13}{10}
Краткое пояснение: Выполняем умножение чисел, учитывая знаки.
Решение:
а) -2 ⋅ (-50) ⋅ 6 ⋅ 12 = 100 ⋅ 6 ⋅ 12 = 600 ⋅ 12 = 7200
б) 11 ⋅ (-4) ⋅ (-7) ⋅ 25 = -44 ⋅ (-7) ⋅ 25 = 308 ⋅ 25 = 7700
в) -0,2 ⋅ 0,8 ⋅ (-5) ⋅ (-1,25) = -0,16 ⋅ (-5) ⋅ (-1,25) = 0,8 ⋅ (-1,25) = -1
г) -\frac{2}{3} ⋅ (-\frac{5}{14}) ⋅ (-\frac{3}{8}) ⋅ \frac{7}{5} = \frac{2}{3} ⋅ \frac{5}{14} ⋅ \frac{3}{8} ⋅ \frac{7}{5} = (\frac{2}{2}) ⋅ (\frac{3}{3}) ⋅ (\frac{5}{5}) ⋅ (\frac{7}{7}) ⋅ \frac{1}{14} ⋅ \frac{1}{8} = \frac{1}{1} ⋅ \frac{1}{1} ⋅ \frac{1}{1} ⋅ \frac{1}{1} ⋅ \frac{1}{14} ⋅ \frac{1}{8} = 1 ⋅ \frac{1}{14} ⋅ \frac{1}{8} = \frac{1}{112}
д) -3\frac{1}{3} ⋅ (-\frac{12}{7}) ⋅ (-3) ⋅ (-7) = -\frac{10}{3} ⋅ (-\frac{12}{7}) ⋅ (-3) ⋅ (-7) = \frac{10}{3} ⋅ \frac{12}{7} ⋅ 3 ⋅ (-7) = (\frac{3}{3}) ⋅ (\frac{7}{7}) ⋅ 10 ⋅ \frac{12}{1} ⋅ (-1) = 1 ⋅ 1 ⋅ 10 ⋅ 12 ⋅ (-1) = -120
е) -0,2 ⋅ 2\frac{3}{5} ⋅ (-0,5) ⋅ (-\frac{5}{13}) = -\frac{1}{5} ⋅ \frac{13}{5} ⋅ (-\frac{1}{2}) ⋅ (-\frac{5}{13}) = (\frac{5}{5}) ⋅ (\frac{13}{13}) ⋅ \frac{1}{5} ⋅ \frac{1}{5} ⋅ \frac{1}{2} ⋅ (-1) = 1 ⋅ 1 ⋅ \frac{1}{5} ⋅ \frac{1}{5} ⋅ \frac{1}{2} ⋅ (-1) = -\frac{1}{50}
Ответ: а) 7200; б) 7700; в) 1; г) -\frac{1}{4}; д) -5; е) -\frac{13}{10}
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