§ 3. Задание 159. «Алгебра. 7 класс. Учебник для общеобразовательных организаций» АЛГЕБРА 7 ГДЗ Задание 159

    Задание 159

    Вычислите приближенно частное, округлив данные числа с точностью до второй значащей цифры:

      • $${\largeа)}\ 3{,}57:0{,}259;$$
      • $${\largeб)}\ {-}3{,}28:40{,}12;$$
      • $${\largeв)}\ 12:0{,}(1);$$
      • $${\largeг)}\ 0{,}(2):2;$$
      • $${\largeд)}\ 4{,}(2):1{,}(3);$$
      • $${\largeе)}\ 45{,}6(12):10{,}(2).$$

    Источник заимствования: Алгебра. 7 класс. Учебник для общеобразовательных организаций / – Просвещение, 2013. – 42 c. ISBN 978-5-09-027739-6
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    Решение:

      • $${\largeа)}\ 3{,}57:0{,}259\approx3{,}6:0{,}26\approx360:26\approx13{,}846{...}\approx14$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}360\phantom{000}\\26\\\hline\end{array}\begin{array}{|l}26\\\hline13{,}846{...}\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}100\\78\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}220\\208\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}120\\104\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}160\\156\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}40{...}\end{array}\end{array}$$

      • $${\largeб)}\ {-}3{,}28:40{,}12\approx{-}3{,}3:40\approx{-}0{,}0825\approx{-}0{,}083$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}3{,}3\phantom{000}\\0\\\hline\end{array}\begin{array}{|l}40\\\hline0{,}0825\end{array}\\\end{array}\\\begin{array}{r}-\begin{array}{r}33\\0\\\hline\end{array}\end{array}\\\begin{array}{r}-\begin{array}{r}330\\320\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}100\\80\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}200\\200\\\hline\end{array}\end{array}\\\phantom{000000}\begin{array}{r}0\end{array}\end{array}$$

      • $${\largeв)}\ 12:0{,}(1)=12:0{,}111{...}\approx12:0{,}11\approx1200:11\approx109{,}09{...}\approx110$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}1200\phantom{00}\\11\\\hline\end{array}\begin{array}{|l}11\\\hline109{,}09{...}\end{array}\\\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}10\\0\\\hline\end{array}\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}100\\99\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}10\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}100\\99\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}10{...}\end{array}\end{array}$$

      • $${\largeг)}\ 0{,}(2):2=0{,}222{...}:2\approx0{,}22:2\approx0{,}11$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}0{,}22\\0\\\hline\end{array}\begin{array}{|l}2\\\hline0{,}11\end{array}\\\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}2\\2\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}2\\2\\\hline\end{array}\end{array}\\\phantom{0000}\begin{array}{r}0\end{array}\end{array}$$

      • $${\largeд)}\ 4{,}(2):1{,}(3)=4{,}222{...}:1{,}333{...}\approx4{,}2:1{,}3\approx42:13\approx3{,}2307{...}\approx3{,}2$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}42\phantom{0000}\\39\\\hline\end{array}\begin{array}{|l}13\\\hline3{,}2307{...}\end{array}\\\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}30\\26\\\hline\end{array}\end{array}\\\phantom{00}\begin{array}{r}-\begin{array}{r}40\\39\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}10\\0\\\hline\end{array}\end{array}\\\phantom{000}\begin{array}{r}-\begin{array}{r}100\\91\\\hline\end{array}\end{array}\\\phantom{0000000}\begin{array}{r}90{...}\end{array}\end{array}$$

      • $${\largeе)}\ 45{,}6(12):10{,}(2)=45{,}61212{...}:10{,}222{...}\approx46:10\approx4{,}6$$

      • $$\begin{array}{l}\begin{array}{r}-\begin{array}{l}46\phantom{0}\\40\\\hline\end{array}\begin{array}{|l}10\\\hline4{,}6\end{array}\\\end{array}\\\phantom{0}\begin{array}{r}-\begin{array}{r}60\\60\\\hline\end{array}\end{array}\\\phantom{0000}\begin{array}{r}0\end{array}\end{array}$$