学習の進め方
< All Topics
Print

２位数×２位数のかけ算

Posted2024年11月24日
Updated2024年11月24日
By水道方式教育図書 管理人

２位数のかけ算は、部分積の繰り上がりに注目して型分けが行われています。
これまでの型分けと違い、２－９分類法は使わず、シルエット（□）で表します。
矢印（←）はくり上がりを示します。
表の右は各型に属する問題例です。０の省略（簡便法）については×３位数の指導後にまとめて指導します。

２位数×２位数の型分け

［１］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \square\square \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 13 \\ \times & 32 \\ \hline \end{array} \begin{array}{rr} & 24 \\ \times & 12 \\ \hline \end{array} \begin{array}{rr} & 33 \\ \times & 21 \\ \hline \end{array}
［２］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em} \\ & \square\square \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 24 \\ \times & 23 \\ \hline \end{array} \begin{array}{rr} & 14 \\ \times & 26 \\ \hline \end{array} \begin{array}{rr} & 16 \\ \times & 13 \\ \hline \end{array}
［３］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \square\square \\ & \leftarrow\hspace*{0.3em}\hspace*{0.8em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 18 \\ \times & 41 \\ \hline \end{array} \begin{array}{rr} & 14 \\ \times & 62 \\ \hline \end{array} \begin{array}{rr} & 27 \\ \times & 31 \\ \hline \end{array}
［４］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em} \\ & \square\square \\ & \leftarrow\hspace*{0.3em}\hspace*{0.8em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 24 \\ \times & 33 \\ \hline \end{array} \begin{array}{rr} & 19 \\ \times & 34 \\ \hline \end{array} \begin{array}{rr} & 37 \\ \times & 22 \\ \hline \end{array}
［５］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em}\hspace*{0.8em} \\ & \square\square\square \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 72 \\ \times & 13 \\ \hline \end{array} \begin{array}{rr} & 84 \\ \times & 12 \\ \hline \end{array} \begin{array}{rr} & 43 \\ \times & 23 \\ \hline \end{array}
［６］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \square\square \\ & \leftarrow\hspace*{0.3em}\hspace*{0.8em}\hspace*{0.8em} \\ & \square\square\square\hspace*{0.8em} \\ \hline & \square\square\square\square \\ \end{array} \begin{array}{rr} & 43 \\ \times & 32 \\ \hline \end{array} \begin{array}{rr} & 93 \\ \times & 22 \\ \hline \end{array} \begin{array}{rr} & 72 \\ \times & 31 \\ \hline \end{array}
［７］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em}\hspace*{0.8em} \\ & \square\square\square \\ & \leftarrow\hspace*{0.3em}\hspace*{0.8em}\hspace*{0.8em} \\ & \square\square\square\hspace*{0.8em} \\ \hline & \square\square\square\square \\ \end{array} \begin{array}{rr} & 61 \\ \times & 43 \\ \hline \end{array} \begin{array}{rr} & 72 \\ \times & 34 \\ \hline \end{array} \begin{array}{rr} & 42 \\ \times & 33 \\ \hline \end{array}
［８］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\leftarrow\hspace*{0.3em} \\ & \square\square\square \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 74 \\ \times & 13 \\ \hline \end{array} \begin{array}{rr} & 43 \\ \times & 26 \\ \hline \end{array} \begin{array}{rr} & 67 \\ \times & 15 \\ \hline \end{array}
［９］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \square\square \\ & \leftarrow\leftarrow\hspace*{1.1em} \\ & \square\square\square\hspace*{0.8em} \\ \hline & \square\square\square\square \\ \end{array} \begin{array}{rr} & 86 \\ \times & 31 \\ \hline \end{array} \begin{array}{rr} & 32 \\ \times & 72 \\ \hline \end{array} \begin{array}{rr} & 43 \\ \times & 62 \\ \hline \end{array}
［１０］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square \square \\ \hline & \leftarrow\leftarrow\hspace*{0.3em} \\ & \square\square\square \\ & \leftarrow\leftarrow\hspace*{1.1em} \\ & \square\square\square\hspace*{0.8em} \\ \hline & \square\square\square\square \\ \end{array} \begin{array}{rr} & 34 \\ \times & 67 \\ \hline \end{array} \begin{array}{rr} & 48 \\ \times & 96 \\ \hline \end{array} \begin{array}{rr} & 87 \\ \times & 63 \\ \hline \end{array}
［１１］
\setstretch{0.5} \begin{array}{rr} & \square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em} \\ & \square\square \\ & \leftarrow\hspace*{1.1em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 3 \\ \times & 54 \\ \hline \end{array} \begin{array}{rr} & 7 \\ \times & 88 \\ \hline \end{array} \begin{array}{rr} & 6 \\ \times & 74 \\ \hline \end{array}
［１２］
\setstretch{0.5} \begin{array}{rr} & \square \\ \times & \square \square \\ \hline & \leftarrow\hspace*{0.3em} \\ & \square\square \\ & \square\hspace*{0.8em} \\ \hline & \square\square \\ \end{array} \begin{array}{rr} & 8 \\ \times & 16 \\ \hline \end{array} \begin{array}{rr} & 4 \\ \times & 19 \\ \hline \end{array} \begin{array}{rr} & 3 \\ \times & 28 \\ \hline \end{array}
［１３］
\setstretch{0.5} \begin{array}{rr} & \square \\ \times & \square \square \\ \hline & \square \\ & \leftarrow\hspace*{1.1em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\square \\ \end{array} \begin{array}{rr} & 4 \\ \times & 82 \\ \hline \end{array} \begin{array}{rr} & 3 \\ \times & 53 \\ \hline \end{array} \begin{array}{rr} & 7 \\ \times & 91 \\ \hline \end{array}
［１４］
\setstretch{0.5} \begin{array}{rr} & \square \\ \times & \square \square \\ \hline & \square \\ & \square\hspace*{0.8em} \\ \hline & \square\square \\ \end{array} \begin{array}{rr} & 4 \\ \times & 21 \\ \hline \end{array} \begin{array}{rr} & 2 \\ \times & 34 \\ \hline \end{array} \begin{array}{rr} & 3 \\ \times & 22 \\ \hline \end{array}
［１５］
\setstretch{0.5} \begin{array}{rr} & \square\hspace*{0.12em}0\hspace*{0.12em} \\ \times & \square \square \\ \hline & \square\hspace*{0.12em}0\hspace*{0.12em} \\ & \square\hspace*{0.12em}0\hspace*{0.12em}\hspace*{0.8em} \\ \hline & \square\square\hspace*{0.12em}0\hspace*{0.12em} \\ \end{array} \begin{array}{rr} & 20 \\ \times & 14 \\ \hline \end{array} \begin{array}{rr} & 30 \\ \times & 23 \\ \hline \end{array} \begin{array}{rr} & 20 \\ \times & 42 \\ \hline \end{array}
［１６］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square\hspace*{0.12em}0\hspace*{0.12em} \\ \hline & \hspace*{0.12em}0\hspace*{0.12em}\hspace*{0.12em}0\hspace*{0.12em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\hspace*{0.12em}0\hspace*{0.12em} \\ \end{array} \begin{array}{rr} & 32 \\ \times & 20 \\ \hline \end{array} \begin{array}{rr} & 98 \\ \times & 10 \\ \hline \end{array} \begin{array}{rr} & 21 \\ \times & 40 \\ \hline \end{array}
［１７］
\setstretch{0.5} \begin{array}{rr} & \square\hspace*{0.12em}0\hspace*{0.12em} \\ \times & \square\hspace*{0.12em}0\hspace*{0.12em} \\ \hline & \hspace*{0.12em}0\hspace*{0.12em}\hspace*{0.12em}0\hspace*{0.12em} \\ & \square\hspace*{0.12em}0\hspace*{0.92em} \\ \hline & \square\hspace*{0.12em}0\hspace*{0.29em}0\hspace*{0.12em} \\ \end{array} \begin{array}{rr} & 30 \\ \times & 20 \\ \hline \end{array} \begin{array}{rr} & 40 \\ \times & 20 \\ \hline \end{array} \begin{array}{rr} & 70 \\ \times & 10 \\ \hline \end{array}
［１８］
\setstretch{0.5} \begin{array}{rr} & \square\square \\ \times & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \hline & \hspace*{0.12em}0\hspace*{0.15em}\hspace*{0.12em}0\hspace*{0.15em} \\ & \leftarrow\hspace*{0.3em}\hspace*{1.6em} \\ & \square\square\square\hspace*{0.8em} \\ \hline & \square\square\square\hspace*{0.12em}0\hspace*{0.18em} \\ \end{array} \begin{array}{rr} & 56 \\ \times & 30 \\ \hline \end{array} \begin{array}{rr} & 86 \\ \times & 20 \\ \hline \end{array} \begin{array}{rr} & 62 \\ \times & 70 \\ \hline \end{array}
［１９］
\setstretch{0.5} \begin{array}{rr} & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \times & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \hline & \hspace*{0.12em}0\hspace*{0.15em}\hspace*{0.12em}0\hspace*{0.15em} \\ & \leftarrow\hspace*{0.3em}\hspace*{1.6em} \\ & \square\square\hspace*{0.12em}0\hspace*{0.95em} \\ \hline & \square\square\hspace*{0.12em}0\hspace*{0.15em}\hspace*{0.12em}0\hspace*{0.15em} \\ \end{array} \begin{array}{rr} & 70 \\ \times & 40 \\ \hline \end{array} \begin{array}{rr} & 60 \\ \times & 80 \\ \hline \end{array} \begin{array}{rr} & 50 \\ \times & 40 \\ \hline \end{array}
［２０］
\setstretch{0.5} \begin{array}{rr} & \square　 \\ \times & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \hline & \hspace*{0.12em}0\hspace*{0.15em} \\ & \square\hspace*{0.8em} \\ \hline & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \end{array} \begin{array}{rr} & 3 \\ \times & 30 \\ \hline \end{array} \begin{array}{rr} & 4 \\ \times & 20 \\ \hline \end{array} \begin{array}{rr} & 8 \\ \times & 10 \\ \hline \end{array}
［２１］
\setstretch{0.5} \begin{array}{rr} & \square　 \\ \times & \square\hspace*{0.12em}0\hspace*{0.15em} \\ \hline & \hspace*{0.12em}0\hspace*{0.15em} \\ & \leftarrow\hspace*{0.3em}\hspace*{0.8em} \\ & \square\square\hspace*{0.8em} \\ \hline & \square\square\hspace*{0.12em}0\hspace*{0.15em} \\ \end{array} \begin{array}{rr} & 6 \\ \times & 90 \\ \hline \end{array} \begin{array}{rr} & 8 \\ \times & 30 \\ \hline \end{array} \begin{array}{rr} & 9 \\ \times & 80 \\ \hline \end{array}
タイトル
error: