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かけ算は足し算に
↓この問題へのリンクはこちら(右クリックで保存)
\def\MondaiB{a} \def\MondaiIl{m} \def\MondaiIr{n} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{かけ算は } & \colMM{red}{ \ 足し算に}\\ \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\times$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize +$} \MondaiIr}\\ \colMM{red}{底が同じ }\\ \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
【解答】
\def\MondaiB{3} \def\MondaiIl{5} \def\MondaiIr{-2} \def\KeisanI{3} \def\Kotae{27} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{かけ算は } & \colMM{red}{ \ 足し算に}\\ \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\times$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize +$} (\MondaiIr)}\\ \colMM{red}{底が同じ }\\ &= 3^{\KeisanI}\\ \\ &= \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
\def\MondaiB{a} \def\MondaiIl{m} \def\MondaiIr{n} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{かけ算は } & \colMM{red}{ \ 足し算に}\\ \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\times$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize +$} \MondaiIr}\\ \colMM{red}{底が同じ }\\ \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
【解答】
\def\MondaiB{3} \def\MondaiIl{4} \def\MondaiIr{-2} \def\KeisanI{2} \def\Kotae{9} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{かけ算は } & \colMM{red}{ \ 足し算に}\\ \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\times$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize +$} (\MondaiIr)}\\ \colMM{red}{底が同じ }\\ &= 3^{\KeisanI}\\ \\ &= \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
わり算は引き算に
↓この問題へのリンクはこちら(右クリックで保存)
\def\MondaiB{a} \def\MondaiIl{m} \def\MondaiIr{n} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{わり算は } & \colMM{red}{ \ ひき算に}\\ \dfrac{\MondaiB^{\MondaiIl}}{\MondaiB^{\MondaiIr}} = \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\div$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize -$} \MondaiIr}\\ \colMM{red}{底が同じ }\\ \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
【解答】
\def\MondaiB{3} \def\MondaiIl{5} \def\MondaiIr{-2} \def\KeisanI{7} \def\Kotae{\ \color{lightgray}{= 2187}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{わり算は } & \colMM{red}{ \ ひき算に}\\ \dfrac{\MondaiB^{\MondaiIl}}{\MondaiB^{\MondaiIr}} = \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\div$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize -$} (\MondaiIr)}\\ \colMM{red}{底が同じ }\\ &= 3^{\KeisanI}\\ \\ & \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
\def\MondaiB{a} \def\MondaiIl{m} \def\MondaiIr{n} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{わり算は } & \colMM{red}{ \ ひき算に}\\ \dfrac{\MondaiB^{\MondaiIl}}{\MondaiB^{\MondaiIr}} = \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\div$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize -$} \MondaiIr}\\ \colMM{red}{底が同じ }\\ \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
【解答】
\def\MondaiB{10} \def\MondaiIl{-3} \def\MondaiIr{2} \def\KeisanI{-5} \def\Kotae{\ =\dfrac{1}{10^{5}}\\\\ &= \dfrac{1}{100000} } \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{わり算は } & \colMM{red}{ \ ひき算に}\\ \dfrac{\MondaiB^{\MondaiIl}}{\MondaiB^{\MondaiIr}} = \MondaiB^{\MondaiIl} \colBX{mistyrose}{$\div$} \MondaiB^{\MondaiIr} &= \MondaiB\,^{\MondaiIl \colBX{mistyrose}{$\scriptsize -$} \MondaiIr}\\ \colMM{red}{底が同じ }\\ &= \MondaiB^{\KeisanI}\\ \\ & \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
指数が並んだら「かける」
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\MondaiB{3} \def\MondaiIa{5} \def\MondaiIb{-2} \def\KakkoLl{}\def\KakkoLr{} \def\KakkoRl{(}\def\KakkoRr{)} \def\KeisanI{-10} \def\Kotae{\\&\colMM{lightgray}{ \Darr 計算してみた}\\&\color{lightgray}=\dfrac{1}{3^{10}} = \dfrac{1}{59049}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{指数が並んだ} & \colMM{red}{ かける!}\\ \left(\MondaiB^{\colBX{mistyrose}{$\scriptsize\MondaiIa$}}\right)^{\colBX{mistyrose}{$\scriptsize\MondaiIb$}} &= \MondaiB^{\colBX{mistyrose}{$\scriptsize\KakkoLl\MondaiIa\KakkoLr \times \KakkoRl\MondaiIb\KakkoRr$}}\\ \\ &= \MondaiB^{\KeisanI} \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\MondaiB{3} \def\MondaiIa{-2} \def\MondaiIb{4} \def\KakkoLl{}\def\KakkoLr{} \def\KakkoRl{}\def\KakkoRr{} \def\KeisanI{-8} \def\Kotae{\\&\colMM{lightgray}{ \Darr 計算してみた}\\&\color{lightgray}=\dfrac{1}{3^{8}} = \dfrac{1}{6561}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colMM{red}{指数が並んだ} & \colMM{red}{ かける!}\\ \left(\MondaiB^{\colBX{mistyrose}{$\scriptsize\MondaiIa$}}\right)^{\colBX{mistyrose}{$\scriptsize\MondaiIb$}} &= \MondaiB^{\colBX{mistyrose}{$\scriptsize\KakkoLl\MondaiIa\KakkoLr \times \KakkoRl\MondaiIb\KakkoRr$}}\\ \\ &= \MondaiB^{\KeisanI} \Kotae \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan