4.394 Выполните действия: a)-5⋅(-1,4)⋅(-9); б) -12,5⋅4,8⋅(-2)⋅(-4); в) -\frac{4}{9} ⋅ \frac{4}{9} ⋅ 2\frac{1}{4} ⋅ (-\frac{3}{4}); г) -0,3⋅(-\frac{3}{7})⋅3,5⋅10.

Ответ:

• a) -5 ⋅ (-1,4) ⋅ (-9) = 5 ⋅ 1,4 ⋅ (-9) = 7 ⋅ (-9) = -63
• б) -12,5 ⋅ 4,8 ⋅ (-2) ⋅ (-4) = -12,5 ⋅ 4,8 ⋅ 8 = -12,5 ⋅ 8 ⋅ 4,8 = -100 ⋅ 4,8 = -480
• в) -\frac{4}{9} ⋅ \frac{4}{9} ⋅ 2\frac{1}{4} ⋅ (-\frac{3}{4}) = -\frac{4}{9} ⋅ \frac{4}{9} ⋅ \frac{9}{4} ⋅ (-\frac{3}{4}) = \frac{4}{9} ⋅ \frac{4}{9} ⋅ \frac{9}{4} ⋅ \frac{3}{4} = \frac{4 ⋅ 4 ⋅ 9 ⋅ 3}{9 ⋅ 9 ⋅ 4 ⋅ 4} = \frac{3}{9} = \frac{1}{3}
• г) -0,3 ⋅ (-\frac{3}{7}) ⋅ 3,5 ⋅ 10 = 0,3 ⋅ \frac{3}{7} ⋅ 3,5 ⋅ 10 = 0,3 ⋅ 3,5 ⋅ 10 ⋅ \frac{3}{7} = 0,3 ⋅ 10 ⋅ 3,5 ⋅ \frac{3}{7} = 3 ⋅ 3,5 ⋅ \frac{3}{7} = 3 ⋅ \frac{35}{10} ⋅ \frac{3}{7} = 3 ⋅ \frac{5}{10} ⋅ 3 = 3 ⋅ \frac{1}{2} ⋅ 3 = \frac{9}{2} = 4,5

Ответ: а) -63; б) -480; в) \(\frac{1}{3}\); г) 4,5

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