Номер 4.349, страница 65, часть 2 - гдз по математике 6 класс учебник Виленкин, Жохов

4.349. Вычислите.

4.349

$$\begin{gathered} \mathit{а}\mathbf{)}\mathbf{ }-2 - \frac{5}{8} = -2\frac{5}{8} \\ -\stackrel{1}{\cancel{2}} · \frac{1}{{\displaystyle \underset{2}{\cancel{4}}}} = -1 · \frac{1}{2} = -\frac{1}{2} \\ -2 : 8 = -\frac{2}{8} = -\frac{1}{4} \\ -2 - 11 = -2 + (-11) = -13 \\ -2 · \frac{4}{{\displaystyle 3}} = -1 · \frac{3}{2} = -\frac{8}{3} = -2\frac{2}{3} \\ -2 + \frac{2}{5} = -\left(2 - \frac{2}{5}\right) = -1\frac{3}{5} \\ -2 + 4,6 = 4,6 - 2 = 2,6 \\ -2 : \frac{4}{7} = -\stackrel{1}{\cancel{2}} · \frac{7}{{\displaystyle \underset{2}{\cancel{4}}}} = -1 · \frac{7}{2} = \\ =-\frac{7}{2} = -3\frac{1}{2} \end{gathered}$$

$$\begin{gathered} \mathit{б}\mathbf{)}\mathbf{ }-\frac{5}{8} · \left(-8\right) = \frac{5}{\cancel{8}} ·\cancel{ 8} = 5 \\ -\frac{5}{8} · 8 =- \left(\frac{5}{\cancel{8}} ·\cancel{ 8}\right) = -5 \\ -\frac{5}{8} · 0 = 0 \\ -\frac{5}{8} + 5 = 5 - \frac{5}{8} = 4\frac{8}{8} - \frac{5}{8} = 4\frac{3}{8} \\ -\frac{5}{8} : \frac{1}{8} = -\frac{5}{\cancel{8}} ·\cancel{ 8} = -5 \\ -\frac{5}{8} - {\frac{1}{4}}^{\overline{)·2}} = -\frac{5}{8} + \left(-\frac{2}{8}\right) = \\ = - \left(\frac{5}{8} + \frac{2}{8}\right) = -\frac{7}{8} \\ -\frac{5}{8} · 1\frac{1}{4} = -\left(\frac{5}{8} · \frac{5}{4}\right) = -\frac{25}{32} \\ {-\frac{5}{8}}^{\overline{)·3}} + {\frac{2}{3}}^{\overline{)·8}} = -\frac{15}{24} + \frac{16}{24} = \\ =\frac{16}{24} - \frac{15}{24} = \frac{1}{24} \end{gathered}$$

$-2 : 8 = -\frac{2}{8} = -\frac{1}{4}$. Ответ: $-\frac{1}{4}$.

$-2 - 11 = -13$. Ответ: $-13$.

$-2 \cdot \frac{4}{3} = -\frac{8}{3} = -2\frac{2}{3}$. Ответ: $-2\frac{2}{3}$.

$-2 + \frac{2}{5} = -\frac{10}{5} + \frac{2}{5} = -\frac{8}{5} = -1\frac{3}{5}$. Ответ: $-1\frac{3}{5}$.

$-2 + 4,6 = 2,6$. Ответ: $2,6$.

$-2 : \frac{4}{7} = -2 \cdot \frac{7}{4} = -\frac{14}{4} = -\frac{7}{2} = -3\frac{1}{2}$. Ответ: $-3\frac{1}{2}$.

$-2 - \frac{5}{8} = -\frac{16}{8} - \frac{5}{8} = -\frac{21}{8} = -2\frac{5}{8}$. Ответ: $-2\frac{5}{8}$.

$-2 \cdot \frac{1}{4} = -\frac{2}{4} = -\frac{1}{2}$. Ответ: $-\frac{1}{2}$.

$-\frac{5}{8} \cdot 8 = -5$. Ответ: $-5$.

$-\frac{5}{8} \cdot 0 = 0$. Ответ: $0$.

$-\frac{5}{8} + 5 = -\frac{5}{8} + \frac{40}{8} = \frac{35}{8} = 4\frac{3}{8}$. Ответ: $4\frac{3}{8}$.

$-\frac{5}{8} : \frac{1}{8} = -\frac{5}{8} \cdot \frac{8}{1} = -5$. Ответ: $-5$.

$-\frac{5}{8} - \frac{1}{4} = -\frac{5}{8} - \frac{2}{8} = -\frac{7}{8}$. Ответ: $-\frac{7}{8}$.

$-\frac{5}{8} \cdot 1\frac{1}{4} = -\frac{5}{8} \cdot \frac{5}{4} = -\frac{25}{32}$. Ответ: $-\frac{25}{32}$.

$-\frac{5}{8} + \frac{2}{3} = -\frac{5 \cdot 3}{24} + \frac{2 \cdot 8}{24} = \frac{-15 + 16}{24} = \frac{1}{24}$. Ответ: $\frac{1}{24}$.

$-\frac{5}{8} \cdot (-8) = 5$. Ответ: $5$.