Задание 93

Решение:

• $${\largeа)}\ \frac{7}{40}=0{,}175(0)$$$$\phantom{\largeа)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}7\phantom{000}\\0\\\hline\end{array}\begin{array}{|l}40\\\hline0{,}175\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}70\\40\\\hline\end{array}\end{array}\\\begin{array}{r}-\begin{array}{r}300\\280\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}200\\200\\\hline\end{array}\end{array}\\\phantom{00000}\begin{array}{r}0\end{array}\end{array}$$
• $${\largeб)}\ \vphantom{\frac{0}{0}}19=19{,}(0)$$
• $${\largeв)}\ \frac{1}{7}=0{,}(142857)$$$$\phantom{\largeв)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}1\phantom{000000000}\\0\\\hline\end{array}\begin{array}{|l}7\\\hline0{,}142857142{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}10\\7\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}30\\28\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}20\\14\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}60\\56\\\hline\end{array}\end{array}\\\phantom{0000}\begin{array}{r}-\begin{array}{r}40\\35\\\hline\end{array}\end{array}\\\phantom{00000}\begin{array}{r}-\begin{array}{r}50\\49\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}-\begin{array}{r}10\\7\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}-\begin{array}{r}30\\28\\\hline\end{array}\end{array}\\\phantom{00000000}\begin{array}{r}-\begin{array}{r}20\\14\\\hline\end{array}\end{array}\\\phantom{00000000000}\begin{array}{r}60{...}\end{array}\end{array}$$
• $${\largeг)}\ \frac{3}{11}=0{,}(27)$$$$\phantom{\largeг)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}3\phantom{0000}\\0\\\hline\end{array}\begin{array}{|l}11\\\hline0{,}2727{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}30\\22\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}80\\77\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}30\\22\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}80\\77\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}30{...}\end{array}\end{array}$$
• $${\largeд)}\ \frac{5}{9}=0{,}(5)$$$$\phantom{\largeд)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}5\phantom{0000}\\0\\\hline\end{array}\begin{array}{|l}9\\\hline0{,}5555{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}50\\45\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}50\\45\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}50\\45\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}50\\45\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}50{...}\end{array}\end{array}$$
• $${\largeе)}\ \frac{17}{99}=0{,}(17)$$$$\phantom{\largeе)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}17\phantom{00000}\\\phantom{0}0\\\hline\end{array}\begin{array}{|l}99\\\hline0{,}17171{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}170\\99\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}710\\693\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}170\\99\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}710\\693\\\hline\end{array}\end{array}\\\phantom{0000}\begin{array}{r}-\begin{array}{r}170\\99\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}710{...}\end{array}\end{array}$$
• $${\largeж)}\ \frac{8}{999}=0{,}(008)$$$$\phantom{\largeж)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}8\phantom{000000000}\\0\\\hline\end{array}\begin{array}{|l}999\\\hline0{,}008008008{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}80\\0\\\hline\end{array}\end{array}\\\begin{array}{r}-\begin{array}{r}800\\0\\\hline\end{array}\end{array}\\\begin{array}{r}-\begin{array}{r}8000\\7992\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}80\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}800\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}8000\\7992\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}-\begin{array}{r}80\\0\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}-\begin{array}{r}800\\0\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}-\begin{array}{r}8000\\7992\\\hline\end{array}\end{array}\\\phantom{00000000000}\begin{array}{r}80{...}\end{array}\end{array}$$
• $${\largeз)}\ \frac{2007}{9999}=0{,}(2007)$$$$\phantom{\largeз)}\ \begin{array}{l}\begin{array}{r}-\begin{array}{l}2007\phantom{000000000}\\\phantom{000}0\\\hline\end{array}\begin{array}{|l}9999\\\hline0{,}200720072{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}20070\\19998\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}720\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}7200\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}72000\\69993\\\hline\end{array}\end{array}\\\phantom{0000}\begin{array}{r}-\begin{array}{r}20070\\19998\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}-\begin{array}{r}720\\0\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}-\begin{array}{r}7200\\0\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}-\begin{array}{r}72000\\69993\\\hline\end{array}\end{array}\\\phantom{00000000}\begin{array}{r}-\begin{array}{r}20070\\19998\\\hline\end{array}\end{array}\\\phantom{0000000000000}\begin{array}{r}720{...}\end{array}\end{array}$$