小6算数 3学期の計算 第9回 全20問
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① $15\times(13-8)$
答え $75$
\begin{eqnarray*} &&15\times(13-8)\\ &=&15\times5\\ &=&75 \end{eqnarray*}② $4+4\times5$
答え $24$
\begin{eqnarray*} &&4+4\times5\\ &=&4+20\\ &=&24 \end{eqnarray*}③ $18-9\div3$
答え $15$
\begin{eqnarray*} &&18-9\div3\\ &=&18-3\\ &=&15 \end{eqnarray*}④ $45\times3+360\div4$
答え $225$
\begin{eqnarray*} &&45\times3+360\div4\\ &=&135+90\\ &=&225 \end{eqnarray*}⑤ $(55-32)\div16\times48$
答え $69$
\begin{eqnarray*} \require{cancel} &&(55-32)\div16\times48\\ &=&23\div16\times48\\ &=&\cfrac{23\times{}^3\bcancel{48}}{{}^1\bcancel{16}}\\ &=&69 \end{eqnarray*}⑥ $3933\div69$
答え $57$
⑦ $100.8\div36$
答え $2.8$
⑧ $3.57-2.69$
答え $0.88$
⑨ $2-0.07$
答え $1.93$
⑩ $0.08\times0.7$
答え $0.056$
⑪ $28.9\times5.68$
答え $164.152$
⑫ $24.852\div6.54$
答え $3.8$
⑬ $\cfrac{3}{8}-\cfrac{2}{9}$
答え $\cfrac{11}{72}$
\begin{eqnarray*} &&\cfrac{3}{8}-\cfrac{2}{9}\\ &=&\cfrac{27}{72}-\cfrac{16}{72}\\ &=&\cfrac{11}{72} \end{eqnarray*}⑭ $7-\cfrac{16}{3}$
答え $\cfrac{5}{3} \left(1\cfrac{2}{3}\right)$
\begin{eqnarray*} &&7-\cfrac{16}{3}\\ &=&\cfrac{7}{1}-\cfrac{16}{3}\\ &=&\cfrac{21}{3}-\cfrac{16}{3}\\ &=&\cfrac{5}{3} \end{eqnarray*}⑮ $\cfrac{26}{27}\times\cfrac{18}{39}$
答え $\cfrac{4}{9}$
\begin{eqnarray*} \require{cancel} &&\cfrac{26}{27}\times\cfrac{18}{39}\\ &=&\cfrac{{}^2\bcancel{26}}{{}^3\bcancel{27}}\times\cfrac{{}^2\bcancel{18}}{{}^3\bcancel{39}}\\ &=&\cfrac{4}{9} \end{eqnarray*}⑯ $\cfrac{33}{100}\div\cfrac{22}{25}$
答え $\cfrac{3}{8}$
\begin{eqnarray*} &&\cfrac{33}{100}\div\cfrac{22}{25}\\ &&\cfrac{33}{100}\times\cfrac{25}{22}\\ &=&\cfrac{{}^3\bcancel{33}}{{}^4\bcancel{100}}\times\cfrac{{}^1\bcancel{25}}{{}^2\bcancel{22}}\\ &=&\cfrac{3}{8} \end{eqnarray*}⑰ $\cfrac{14}{45}\div\cfrac{49}{27}\times\cfrac{7}{4}$
答え $\cfrac{3}{10}$
\begin{eqnarray*} &&\cfrac{14}{45}\div\cfrac{49}{27}\times\cfrac{7}{4}\\ &&\cfrac{14}{45}\times\cfrac{27}{49}\times\cfrac{7}{4}\\ &=&\cfrac{{}^1\bcancel{{}^2}\bcancel{14}}{{}^5\bcancel{45}}\times\cfrac{{}^3\bcancel{27}}{{}^1\bcancel{{}^7}\bcancel{49}}\times\cfrac{{}^1\bcancel{7}}{{}^2\bcancel{4}}\\ &=&\cfrac{3}{10} \end{eqnarray*}⑱ $\cfrac{4}{5}\times\cfrac{15}{16}+\cfrac{3}{20}\div\cfrac{9}{4}$
答え $\cfrac{49}{60}$
\begin{eqnarray*} &&\cfrac{4}{5}\times\cfrac{15}{16}+\cfrac{3}{20}\div\cfrac{9}{4}\\ &=&\cfrac{4}{5}\times\cfrac{15}{16}+\cfrac{3}{20}\times\cfrac{4}{9}\\ &=&\cfrac{{}^1\bcancel{4}}{{}^1\bcancel{5}}\times\cfrac{{}^3\bcancel{15}}{{}^4\bcancel{16}}+\cfrac{{}^1\bcancel{3}}{{}^5\bcancel{20}}\times\cfrac{{}^1\bcancel{4}}{{}^3\bcancel{9}}\\ &=&\cfrac{3}{4}+\cfrac{1}{15}\\ &=&\cfrac{45}{60}+\cfrac{4}{60}\\ &=&\cfrac{49}{60} \end{eqnarray*}⑲ $0.7-\cfrac{2}{3}$
答え $\cfrac{1}{30}$
\begin{eqnarray*} &&0.7-\cfrac{2}{3}\\ &=&\cfrac{7}{10}-\cfrac{2}{3}\\ &=&\cfrac{21}{30}-\cfrac{20}{30}\\ &=&\cfrac{1}{30} \end{eqnarray*}⑳ $0.25\times\cfrac{4}{5}\div\cfrac{1}{10}$
答え $2$
\begin{eqnarray*} &&0.25\times\cfrac{4}{5}\div\cfrac{1}{10}\\ &=&\cfrac{25}{100}\times\cfrac{4}{5}\times\cfrac{10}{1}\\ &=&\cfrac{{}^1\bcancel{25}}{{}^1\bcancel{{}^4}\bcancel{100}}\times\cfrac{{}^1\bcancel{4}}{{}^1\bcancel{5}}\times\cfrac{{}^2\bcancel{10}}{1}\\ &=&2 \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①75②24③15④225⑤69⑥57\\ ⑦2.8⑧0.88⑨1.93⑩0.056⑪164.152⑫3.8\\ \boxed{\large{\ 2\ }}⑬\cfrac{11}{72}⑭\cfrac{5}{3} \left(1\cfrac{2}{3}\right)\\ ⑮\cfrac{4}{9}⑯\cfrac{3}{8}⑰\cfrac{3}{10}⑱\cfrac{49}{60}\\ ⑲\cfrac{1}{30}⑳2 $