\[\boxed{\mathbf{563\ (563).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \left| \frac{1}{3} - 0,3 \right| = \left| \frac{1}{3} - \frac{3}{10} \right| =\]
\[= \left| \frac{10}{30} - \frac{9}{30} \right| = \frac{1}{30}\]
\[2)\ \left| \frac{1}{3} - 0,4 \right| = \left| \frac{1}{3} - \frac{4}{10} \right| =\]
\[= \left| \frac{10}{30} - \frac{12}{30} \right| = \left| - \frac{2}{30} \right| = \frac{1}{15}\]
\[3)\ \left| \frac{1}{3} - 0,33 \right| = \left| \frac{1}{3} - \frac{33}{100} \right| =\]
\[= \left| \frac{100}{300} - \frac{99}{300} \right| = \frac{1}{300}\]
\[\boxed{\mathbf{563.\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[x_{8} = 58,;\ x_{15} = 16\]
\[\left\{ \begin{matrix} x_{1} + 7d = 58\ \ \\ x_{1} + 14d = 16 \\ \end{matrix} \right.\ ( - )\text{\ \ \ \ }\]
\[\ \left\{ \begin{matrix} - 7d = 42\ \ \ \ \ \\ x_{1} = 58 - 7d \\ \end{matrix} \right.\ ,\ \ d = - 6\]
\[Ответ:\ d = - 6.\]