小6算数 3学期の計算 第13回 全20問
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① $25\times(13-8)$
答え $125$
\begin{eqnarray*} &&25\times(13-8)\\ &=&25\times5\\ &=&125 \end{eqnarray*}② $8+1\times9$
答え $17$
\begin{eqnarray*} &&8+1\times9\\ &=&8+9\\ &=&17 \end{eqnarray*}③ $36-24\div4$
答え $30$
\begin{eqnarray*} &&36-24\div4\\ &=&36-6\\ &=&30 \end{eqnarray*}④ $11\times11-150\div6$
答え $96$
\begin{eqnarray*} &&11\times11-150\div6\\ &=&121-25\\ &=&96 \end{eqnarray*}⑤ $(35-18)\div16\times64$
答え $68$
\begin{eqnarray*} \require{cancel} &&(35-18)\div16\times64\\ &=&17\div16\times64\\ &=&\cfrac{17\times{}^4\bcancel{64}}{{}^1\bcancel{16}}\\ &=&68 \end{eqnarray*}⑥ $2187\div81$
答え $27$
⑦ $28.47\div7.3$
答え $3.9$
⑧ $5.15-2.26$
答え $2.89$
⑨ $9-0.91$
答え $8.09$
⑩ $0.07\times0.5$
答え $0.035$
⑪ $28.9\times3.24$
答え $93.636$
⑫ $256.12\div67.4$
答え $3.8$
⑬ $\cfrac{8}{15}+\cfrac{3}{4}$
答え $\cfrac{77}{60} \left(1\cfrac{17}{60}\right)$
\begin{eqnarray*} &&\cfrac{8}{15}+\cfrac{3}{4}\\ &=&\cfrac{32}{60}+\cfrac{45}{60}\\ &=&\cfrac{77}{60} \end{eqnarray*}⑭ $8-\cfrac{19}{4}$
答え $\cfrac{13}{4} \left(3\cfrac{1}{4}\right)$
\begin{eqnarray*} &&8-\cfrac{19}{4}\\ &=&\cfrac{8}{1}-\cfrac{19}{4}\\ &=&\cfrac{32}{4}-\cfrac{19}{4}\\ &=&\cfrac{13}{4} \end{eqnarray*}⑮ $\cfrac{22}{39}\times\cfrac{78}{77}$
答え $\cfrac{4}{7}$
\begin{eqnarray*} \require{cancel} &&\cfrac{22}{39}\times\cfrac{78}{77}\\ &=&\cfrac{{}^2\bcancel{22}}{{}^1\bcancel{39}}\times\cfrac{{}^2\bcancel{78}}{{}^7\bcancel{77}}\\ &=&\cfrac{4}{7} \end{eqnarray*}⑯ $\cfrac{28}{29}\div\cfrac{35}{58}$
答え $\cfrac{8}{5} \left(1\cfrac{3}{5}\right)$
\begin{eqnarray*} &&\cfrac{28}{29}\div\cfrac{35}{58}\\ &&\cfrac{28}{29}\times\cfrac{58}{35}\\ &=&\cfrac{{}^4\bcancel{28}}{{}^1\bcancel{29}}\times\cfrac{{}^2\bcancel{58}}{{}^5\bcancel{35}}\\ &=&\cfrac{8}{5} \end{eqnarray*}⑰ $\cfrac{15}{4}\div\cfrac{5}{12}\times\cfrac{7}{9}$
答え $7$
\begin{eqnarray*} &&\cfrac{15}{4}\div\cfrac{5}{12}\times\cfrac{7}{9}\\ &&\cfrac{15}{4}\times\cfrac{12}{5}\times\cfrac{7}{9}\\ &=&\cfrac{{}^1\bcancel{{}^3}\bcancel{15}}{{}^1\bcancel{4}}\times\cfrac{{}^1\bcancel{{}^3}\bcancel{12}}{{}^1\bcancel{5}}\times\cfrac{7}{{}^1\bcancel{{}^3}\bcancel{9}}\\ &=&7 \end{eqnarray*}⑱ $\cfrac{15}{8}\times\cfrac{3}{10}+\cfrac{7}{12}\div\cfrac{7}{5}$
答え $\cfrac{47}{48}$
\begin{eqnarray*} &&\cfrac{15}{8}\times\cfrac{3}{10}+\cfrac{7}{12}\div\cfrac{7}{5}\\ &=&\cfrac{15}{8}\times\cfrac{3}{10}+\cfrac{7}{12}\times\cfrac{5}{7}\\ &=&\cfrac{{}^3\bcancel{15}}{8}\times\cfrac{3}{{}^2\bcancel{10}}+\cfrac{{}^1\bcancel{7}}{12}\times\cfrac{5}{{}^1\bcancel{7}}\\ &=&\cfrac{9}{16}+\cfrac{5}{12}\\ &=&\cfrac{27}{48}+\cfrac{20}{48}\\ &=&\cfrac{47}{48} \end{eqnarray*}⑲ $0.75-\cfrac{1}{5}$
答え $\cfrac{11}{20}$
\begin{eqnarray*} &&0.75-\cfrac{1}{5}\\ &=&\cfrac{{}^3\bcancel{75}}{{}^4\bcancel{100}}-\cfrac{1}{5}\\ &=&\cfrac{3}{4}-\cfrac{1}{5}\\ &=&\cfrac{15}{20}-\cfrac{4}{20}\\ &=&\cfrac{11}{20} \end{eqnarray*}⑳ $\cfrac{2}{3}\times1.75\div\cfrac{7}{9}$
答え $\cfrac{3}{2} \left(1\cfrac{1}{2}\right)$
\begin{eqnarray*} &&\cfrac{2}{3}\times1.75\div\cfrac{7}{9}\\ &=&\cfrac{2}{3}\times\cfrac{175}{100}\times\cfrac{9}{7}\\ &=&\cfrac{2}{3}\times\cfrac{{}^7\bcancel{175}}{{}^4\bcancel{100}}\times\cfrac{9}{7}\\ &=&\cfrac{{}^1\bcancel{2}}{{}^1\bcancel{3}}\times\cfrac{{}^1\bcancel{7}}{{}^2\bcancel{4}}\times\cfrac{{}^3\bcancel{9}}{{}^1\bcancel{7}}\\ &=&\cfrac{3}{2} \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①125②17③30④96⑤68⑥27\\ ⑦3.9⑧2.89⑨8.09⑩0.035⑪93.636⑫3.8\\ \boxed{\large{\ 2\ }}⑬\cfrac{77}{60} \left(1\cfrac{17}{60}\right)⑭\cfrac{13}{4} \left(3\cfrac{1}{4}\right)\\ ⑮\cfrac{4}{7}⑯\cfrac{8}{5} \left(1\cfrac{3}{5}\right)⑰7⑱\cfrac{47}{48}\\ ⑲\cfrac{11}{20}⑳\cfrac{3}{2} \left(1\cfrac{1}{2}\right) $