Вопрос:

Вычислите: 1) 127-25-34-98 2)-11-4-28 3)-95-19.(-4) 4) 12.5-98 5)-3-(48-127) 6) 1-:20 9 27 7) -4,5 + 3,5 - 1,2 8) 8,1-7,68 : 1,2 9)(+)-: 35 36 5 10 (решить по действиям) 14 6 27

Смотреть решения всех заданий с листа

Ответ:

Краткое пояснение: Выполним вычисления по порядку действий.

1) 127 - 25 - 34 - 98

127 - 25 - 34 - 98 = 102 - 34 - 98 = 68 - 98 = -30

Ответ: -30

2) -11 ⋅ 4 - 28

-11 ⋅ 4 - 28 = -44 - 28 = -72

Ответ: -72

3) -95 - 19 ⋅ (-4)

-95 - 19 ⋅ (-4) = -95 - (-76) = -95 + 76 = -19

Ответ: -19

4) 12 ⋅ 5 - 98

12 ⋅ 5 - 98 = 60 - 98 = -38

Ответ: -38

5) -3 ⋅ (48 - 127)

-3 ⋅ (48 - 127) = -3 ⋅ (-79) = 237

Ответ: 237

6) 1 - \(\frac{5}{9}\) : \(\frac{20}{27}\)

1 - \(\frac{5}{9}\) : \(\frac{20}{27}\) = 1 - \(\frac{5}{9}\) ⋅ \(\frac{27}{20}\) = 1 - \(\frac{5 ⋅ 27}{9 ⋅ 20}\) = 1 - \(\frac{135}{180}\) = 1 - \(\frac{3}{4}\) = \(\frac{4}{4}\) - \(\frac{3}{4}\) = \(\frac{1}{4}\)

Ответ: \(\frac{1}{4}\)

7) -4,5 + 3,5 ⋅ 1,2

-4,5 + 3,5 ⋅ 1,2 = -4,5 + 4,2 = -0,3

Ответ: -0,3

8) 8,1 - 7,68 : 1,2

8,1 - 7,68 : 1,2 = 8,1 - 6,4 = 1,7

Ответ: 1,7

9) \(\frac{35}{36}\) ⋅ (\(\frac{1}{2}\) + \(\frac{5}{14}\)) - \(\frac{5}{6}\) : \(\frac{10}{27}\)

1) \(\frac{1}{2}\) + \(\frac{5}{14}\) = \(\frac{7}{14}\) + \(\frac{5}{14}\) = \(\frac{12}{14}\) = \(\frac{6}{7}\)

2) \(\frac{35}{36}\) ⋅ \(\frac{6}{7}\) = \(\frac{35 ⋅ 6}{36 ⋅ 7}\) = \(\frac{5 ⋅ 1}{6 ⋅ 1}\) = \(\frac{5}{6}\)

3) \(\frac{5}{6}\) : \(\frac{10}{27}\) = \(\frac{5}{6}\) ⋅ \(\frac{27}{10}\) = \(\frac{5 ⋅ 27}{6 ⋅ 10}\) = \(\frac{1 ⋅ 9}{2 ⋅ 2}\) = \(\frac{9}{4}\)

4) \(\frac{5}{6}\) - \(\frac{9}{4}\) = \(\frac{10}{12}\) - \(\frac{27}{12}\) = -\(\frac{17}{12}\) = -1 \(\frac{5}{12}\)

Ответ: -1 \(\frac{5}{12}\)

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