Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2743686
А
Аноним
06 февраля 2025 11:17 · публичный вопрос
А
Аноним

a)-28-18: д) - 0.9(- 4/9) б) 3.4-5.6: e) 0(- 7.8) в) - 2/3 - 0.6 ж) 1 / (- 3/8) ; г) 0.24 * 1/5 з)- 1.5 / (- 0.01)

Ответ нейросети
06 февраля 2025 11:17

Let’s solve each of these expressions step-by-step:

a) \(-28 - 18\)

\[ -28 - 18 = -46 \]

b) \(3.4 - 5.6\)

\[ 3.4 - 5.6 = -2.2 \]

c) \(-0.9\left(-\frac{4}{9}\right)\)

\[ -0.9 \times -\frac{4}{9} = 0.9 \times \frac{4}{9} = \frac{3.6}{9} = \frac{4}{10} = 0.4 \]

d) \(0(-7.8)\)

\[ 0 \times -7.8 = 0 \]

e) \(-\frac{2}{3} - 0.6\)

Convert \(0.6\) to a fraction:

\[ -0.6 = -\frac{6}{10} = -\frac{3}{5} \]

Finding a common denominator (15):

\[ -\frac{2}{3} = -\frac{10}{15} \] \[ -\frac{3}{5} = -\frac{9}{15} \]

Now add the fractions:

\[ -\frac{10}{15} - \frac{9}{15} = -\frac{19}{15} \]

f) \(\frac{1}{(-\frac{3}{8})}\)

\[ \frac{1}{-\frac{3}{8}} = -\frac{8}{3} \]

g) \(0.24 \times \frac{1}{5}\)

Convert \(0.24\) to a fraction:

\[ 0.24 = \frac{24}{100} = \frac{6}{25} \]

Now multiply:

\[ \frac{6}{25} \times \frac{1}{5} = \frac{6}{125} \]

h) \(-1.5 / (-0.01)\)

\[ \frac{-1.5}{-0.01} = \frac{1.5}{0.01} = 150 \]

To summarize:

  • a) \(-46\)
  • b) \(-2.2\)
  • c) \(0.4\)
  • d) \(0\)
  • e) \(-\frac{19}{15}\)
  • f) \(-\frac{8}{3}\)
  • g) \(\frac{6}{125}\)
  • h) \(150\)