(1) \(314\div0.48\times7.2-15.7\div0.16\times32\) を計算しなさい。
\(314\div0.48\times7.2-15.7\div0.16\times32\)
\(=(314\times7.2)\div0.48-15.7\times32\div0.16\)
\(=2260.8\div0.48-502.4\div0.16\)
\(=4710-3140\)
\(=\color{red}{1570}\)
(2) \(\begin{bmatrix}\displaystyle1.4-\Biggl\{1\large\frac{2}{3}-\Biggl(2\large\frac{1}{3}-\large\frac{3}{4}\Biggl)\Biggl\}\div\large\frac{1}{12}\end{bmatrix}\div0.2\) を計算しなさい。
\(\begin{bmatrix}\displaystyle1.4-\Biggl\{1\large\frac{2}{3}-\Biggl(2\large\frac{1}{3}-\large\frac{3}{4}\Biggl)\Biggl\}\div\large\frac{1}{12}\end{bmatrix}\div0.2\)
\(=\begin{bmatrix}\displaystyle1.4-\Biggl\{1\large\frac{2}{3}-\large\frac{19}{12}\Biggl\}\div\large\frac{1}{12}\end{bmatrix}\div0.2\)
\(=\begin{bmatrix}\displaystyle1.4-\large\frac{1}{12}\div\large\frac{1}{12}\end{bmatrix}\div0.2\)
\(=\begin{bmatrix}\displaystyle1.4-1\end{bmatrix}\div0.2\)
\(=\displaystyle0.4\div0.2\)
\(=\displaystyle\color{red}{2}\)
(3) \(0.005t+9kg\div0.3-480g=□g\) のとき、□にあてはまる数をかきなさい。
\(0.005t+9kg\div0.3-480g\)
\(=5000g+9000g\div0.3-480g\)
\(=5000g+30000g-480g\)
\(=35000g-480g\)
\(=\color{red}{34520}g\)
(4) \(\displaystyle1-\Biggl(\large\frac{5}{6}-\large\frac{3}{4}\Biggl)\div□=\large\frac{1}{3}\) のとき、□にあてはまる数をかきなさい。
\(\displaystyle1-\Biggl(\large\frac{5}{6}-\large\frac{3}{4}\Biggl)\div□=\large\frac{1}{3}\)
\(\displaystyle1-\large\frac{1}{12}\div□=\large\frac{1}{3}\)
\(\displaystyle-\large\frac{1}{12}\div□=\large\frac{1}{3}-1\)
\(\displaystyle-\large\frac{1}{12}\div□=-\large\frac{2}{3}\)
\(\displaystyle\large\frac{1}{12}\div□=\large\frac{2}{3}\)
\(\displaystyle\large\frac{1}{12}=\large\frac{2}{3}\times□\)
\(\displaystyle□=\large\frac{1}{12}\div\large\frac{2}{3}\)
\(\displaystyle□=\color{red}{\large\frac{1}{8}}\)
