Вопрос:

4. Вычислите: 1) -5 · 49 · 4; 2) -2,5 · (-23) · 40; 3) 0,8 · (-125) · 0,5 · (-2); 4) -3,73 · 50 · (-2) · (-0,01); 5) \frac{7}{8} · (-4,5) · (-1\frac{1}{7}) · 0,4; 6) -\frac{4}{9} · (-\frac{3}{11}) · \frac{9}{16} · (-22).

Смотреть решения всех заданий с листа

Ответ:

Ответ: 1) -980; 2) 2300; 3) 100; 4) -3,73; 5) 0,15; 6) -1.5

Краткое пояснение: Выполняем умножение, группируя числа для упрощения вычислений.
  • 1) -5 ⋅ 49 ⋅ 4 = -5 ⋅ 4 ⋅ 49 = -20 ⋅ 49 = -980.
  • 2) -2,5 ⋅ (-23) ⋅ 40 = -2,5 ⋅ 40 ⋅ (-23) = -100 ⋅ (-23) = 2300.
  • 3) 0,8 ⋅ (-125) ⋅ 0,5 ⋅ (-2) = 0,8 ⋅ (-125) ⋅ 0,5 ⋅ (-2) = -100 ⋅ (-1) = 100.
  • 4) -3,73 ⋅ 50 ⋅ (-2) ⋅ (-0,01) = -3,73 ⋅ (-100) ⋅ (-0,01) = 373 ⋅ (-0,01) = -3,73.
  • 5) \frac{7}{8} ⋅ (-4,5) ⋅ (-1\frac{1}{7}) ⋅ 0,4 = \frac{7}{8} ⋅ (-4,5) ⋅ (-\frac{8}{7}) ⋅ 0,4 = \frac{7}{8} ⋅ (-\frac{45}{10}) ⋅ (-\frac{8}{7}) ⋅ \frac{4}{10} = \frac{7}{8} ⋅ \frac{8}{7} ⋅ \frac{45}{10} ⋅ \frac{4}{10} = 1 ⋅ \frac{180}{100} = \frac{9}{50} = 0.18.
  • 6) -\frac{4}{9} ⋅ (-\frac{3}{11}) ⋅ \frac{9}{16} ⋅ (-22) = -\frac{4}{9} ⋅ (-\frac{3}{11}) ⋅ \frac{9}{16} ⋅ (-22) = \frac{4 ⋅ 3 ⋅ 9 ⋅ 22}{9 ⋅ 11 ⋅ 16} = \frac{2376}{1584} = \frac{3}{2} = 1,5.

Ответ: 1) -980; 2) 2300; 3) 100; 4) -3,73; 5) 0.18; 6) 1.5

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