小6算数 3学期の計算 第16回 全20問
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① $17\times(8+9)$
答え $289$
\begin{eqnarray*} &&17\times(8+9)\\ &=&17\times17\\ &=&289 \end{eqnarray*}② $5+9\times6$
答え $59$
\begin{eqnarray*} &&5+9\times6\\ &=&5+54\\ &=&59 \end{eqnarray*}③ $42-21\div3$
答え $35$
\begin{eqnarray*} &&42-21\div3\\ &=&42-7\\ &=&35 \end{eqnarray*}④ $14\times14-169\div13$
答え $183$
\begin{eqnarray*} &&14\times14-169\div13\\ &=&196-13\\ &=&183 \end{eqnarray*}⑤ $(49-24)\div24\times120$
答え $125$
\begin{eqnarray*} \require{cancel} &&(49-24)\div24\times120\\ &=&25\div24\times120\\ &=&\cfrac{25\times{}^5\bcancel{120}}{{}^1\bcancel{24}}\\ &=&125 \end{eqnarray*}⑥ $6241\div79$
答え $79$
⑦ $22.62\div5.8$
答え $3.9$
⑧ $5.21-1.56$
答え $3.65$
⑨ $10-0.11$
答え $9.89$
⑩ $0.09\times0.09$
答え $0.0081$
⑪ $39.9\times4.99$
答え $199.101$
⑫ $47.321\div7.9$
答え $5.99$
⑬ $\cfrac{1}{4}-\cfrac{2}{15}$
答え $\cfrac{7}{60}$
\begin{eqnarray*} &&\cfrac{1}{4}-\cfrac{2}{15}\\ &=&\cfrac{15}{60}-\cfrac{8}{60}\\ &=&\cfrac{7}{60} \end{eqnarray*}⑭ $6-\cfrac{33}{8}$
答え $\cfrac{15}{8} \left(1\cfrac{7}{8}\right)$
\begin{eqnarray*} &&6-\cfrac{33}{8}\\ &=&\cfrac{6}{1}-\cfrac{33}{8}\\ &=&\cfrac{48}{8}-\cfrac{33}{8}\\ &=&\cfrac{15}{8} \end{eqnarray*}⑮ $\cfrac{100}{99}\times\cfrac{33}{125}$
答え $\cfrac{4}{15}$
\begin{eqnarray*} \require{cancel} &&\cfrac{100}{99}\times\cfrac{33}{125}\\ &=&\cfrac{{}^4\bcancel{100}}{{}^3\bcancel{99}}\times\cfrac{{}^1\bcancel{33}}{{}^{5}\bcancel{125}}\\ &=&\cfrac{4}{15} \end{eqnarray*}⑯ $\cfrac{22}{63}\div\cfrac{55}{56}$
答え $\cfrac{16}{45}$
\begin{eqnarray*} &&\cfrac{22}{63}\div\cfrac{55}{56}\\ &&\cfrac{22}{63}\times\cfrac{56}{55}\\ &=&\cfrac{{}^2\bcancel{22}}{{}^9\bcancel{63}}\times\cfrac{{}^8\bcancel{56}}{{}^5\bcancel{55}}\\ &=&\cfrac{16}{45} \end{eqnarray*}⑰ $\cfrac{33}{25}\div\cfrac{22}{15}\div\cfrac{21}{10}$
答え $\cfrac{3}{7}$
\begin{eqnarray*} &&\cfrac{33}{25}\div\cfrac{22}{15}\div\cfrac{21}{10}\\ &=&\cfrac{33}{25}\times\cfrac{15}{22}\times\cfrac{10}{21}\\ &=&\cfrac{{}^1\bcancel{{}^3}\bcancel{33}}{{}^1\bcancel{{}^5}\bcancel{25}}\times\cfrac{{}^3\bcancel{15}}{{}^1\bcancel{{}^2}\bcancel{22}}\times\cfrac{{}^1\bcancel{{}^2}\bcancel{10}}{{}^7\bcancel{21}}\\ &=&\cfrac{3}{7} \end{eqnarray*}⑱ $\cfrac{14}{15}\times\cfrac{20}{21}+\cfrac{3}{8}\div\cfrac{1}{4}$
答え $\cfrac{43}{18} \left(2\cfrac{7}{18}\right)$
\begin{eqnarray*} &&\cfrac{14}{15}\times\cfrac{20}{21}+\cfrac{3}{8}\div\cfrac{1}{4}\\ &=&\cfrac{14}{15}\times\cfrac{20}{21}+\cfrac{3}{8}\times\cfrac{4}{1}\\ &=&\cfrac{{}^2\bcancel{14}}{{}^3\bcancel{15}}\times\cfrac{{}^4\bcancel{20}}{{}^3\bcancel{21}}+\cfrac{3}{{}^2\bcancel{8}}\times\cfrac{{}^1\bcancel{4}}{1}\\ &=&\cfrac{8}{9}+\cfrac{3}{2}\\ &=&\cfrac{16}{18}+\cfrac{27}{18}\\ &=&\cfrac{43}{18} \end{eqnarray*}⑲ $2.75-\cfrac{11}{5}$
答え $\cfrac{11}{20}$
\begin{eqnarray*} &&2.75-\cfrac{11}{5}\\ &=&\cfrac{{}^{11}\bcancel{275}}{{}^4\bcancel{100}}-\cfrac{11}{5}\\ &=&\cfrac{11}{4}-\cfrac{11}{5}\\ &=&\cfrac{55}{20}-\cfrac{44}{20}\\ &=&\cfrac{11}{20} \end{eqnarray*}⑳ $\cfrac{15}{4}\div1.25\div9$
答え $\cfrac{1}{3}$
\begin{eqnarray*} &&\cfrac{15}{4}\div1.25\div9\\ &=&\cfrac{15}{4}\div\cfrac{125}{100}\div9\\ &=&\cfrac{15}{4}\times\cfrac{{}^4\bcancel{100}}{{}^5\bcancel{125}}\times\cfrac{1}{9}\\ &=&\cfrac{{}^1\bcancel{{}^3}\bcancel{15}}{{}^1\bcancel{4}}\times\cfrac{{}^1\bcancel{4}}{{}^1\bcancel{5}}\times\cfrac{1}{{}^3\bcancel{9}}\\ &=&\cfrac{1}{3} \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①289②59③35④183⑤125⑥79\\ ⑦3.9⑧3.65⑨9.89⑩0.0081⑪199.101⑫5.99\\ \boxed{\large{\ 2\ }}⑬\cfrac{7}{60}⑭\cfrac{15}{8} \left(1\cfrac{7}{8}\right)\\ ⑮\cfrac{4}{15}⑯\cfrac{16}{45}⑰\cfrac{3}{7}⑱\cfrac{43}{18} \left(2\cfrac{7}{18}\right)\\ ⑲\cfrac{11}{20}⑳\cfrac{1}{3} $