Вопрос:

Найдите значение выражения (940-942). 940 a) -5.0,4 + 6; 6)-5-(0,4+ 6); 2 941 a) -중+5. (-): 6) 6 5 +5 6 + 2 15 ); 942 a) 15(1): 15 943 15 2 15 ); в) -2(-2,5) – 2,6; г) -2. (-2,5 – 2,6). B)-12.-2. г) 4 3 1)-12.(-2). 15 - (-3,5) 6) B) 15 + (-3,5)' РЕШАЕМ ЗАДАЧУ ПО ПЛАНУ -2,5 + 0,4 -2,5 0,4 5 12 5 12 г) - 15 (-0,6) 0,5 + (-0,6)

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Ответ:

Краткое пояснение: Решаем примеры, используя правила действий с рациональными числами.

940 a)

  • -5 ⋅ 0.4 + 6 = -2 + 6 = 4

940 б)

  • -5 ⋅ (0.4 + 6) = -5 ⋅ 6.4 = -32

941 a)

  • -\(\frac{5}{6}\) + 5 ⋅ (-\(\frac{2}{15}\)) = -\(\frac{5}{6}\) - \(\frac{10}{15}\) = -\(\frac{5}{6}\) - \(\frac{2}{3}\) = -\(\frac{5}{6}\) - \(\frac{4}{6}\) = -\(\frac{9}{6}\) = -1.5

941 б)

  • (- \(\frac{5}{6}\) + 5) ⋅ (-\(\frac{2}{15}\)) = (-\(\frac{5}{6}\) + \(\frac{30}{6}\)) ⋅ (-\(\frac{2}{15}\)) = \(\frac{25}{6}\) ⋅ (-\(\frac{2}{15}\)) = -\(\frac{50}{90}\) = -\(\frac{5}{9}\)

941 в)

  • -12 ⋅ \(\frac{3}{4}\) - 2 ⋅ \(\frac{5}{12}\) = -9 - \(\frac{10}{12}\) = -9 - \(\frac{5}{6}\) = -\(\frac{54}{6}\) - \(\frac{5}{6}\) = -\(\frac{59}{6}\) = -9 \(\frac{5}{6}\)

941 г)

  • -12 ⋅ (\(\frac{3}{4}\) - 2) ⋅ \(\frac{5}{12}\) = -12 ⋅ (\(\frac{3}{4}\) - \(\frac{8}{4}\)) ⋅ \(\frac{5}{12}\) = -12 ⋅ (-\(\frac{5}{4}\)) ⋅ \(\frac{5}{12}\) = 15 ⋅ \(\frac{5}{12}\) = \(\frac{75}{12}\) = 6 \(\frac{3}{12}\) = 6.25

942 a)

  • \(\frac{-15 + (-1)}{-15 - (-1)}\) = \(\frac{-15 - 1}{-15 + 1}\) = \(\frac{-16}{-14}\) = \(\frac{8}{7}\) = 1 \(\frac{1}{7}\)

942 б)

  • \(\frac{15 - (-3.5)}{15 + (-3.5)}\) = \(\frac{15 + 3.5}{15 - 3.5}\) = \(\frac{18.5}{11.5}\) = \(\frac{185}{115}\) = \(\frac{37}{23}\) = 1 \(\frac{14}{23}\)

942 в)

  • \(\frac{-2.5 + 0.4}{-2.5 ⋅ 0.4}\) = \(\frac{-2.1}{-1}\) = 2.1

942 г)

  • \(\frac{-15 ⋅ (-0.6)}{0.5 + (-0.6)}\) = \(\frac{9}{-0.1}\) = -90

Ответ: См. подробное решение выше

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