長さ、面積、体積、重さなどを変換する問題(cm→m、m²→a、cm³→l、g→kg)

長さの単位

\begin{eqnarray}
1\ \mathrm{cm}&=&10\ \mathrm{mm}\
1\ \mathrm{m}&=&100\ \mathrm{cm}\
1\ \mathrm{km}&=&1000\ \mathrm{m}
\end{eqnarray
}
例えば
\begin{eqnarray}
13\ \mathrm{cm}&=&13\times{10}=130\ \mathrm{mm}\
4.6\ \mathrm{m}&=&4.6\times{100}=460\ \mathrm{cm}\
72\ \mathrm{km}&=&72\times{1000}=72000\ \mathrm{m}
\end{eqnarray
}
となります.

1次の量をカッコ内の単位で表しなさい.

((1)) (2\ \mathrm{m}\quad{(\mathrm{cm})})

((2)) (3\ \mathrm{km}\quad{(\mathrm{m})})

((3)) (9.8\ \mathrm{km}\quad{(\mathrm{m})})

((4)) (28\ \mathrm{km}\quad{(\mathrm{m})})

((5)) (3.2\ \mathrm{m}\quad{(\mathrm{cm})})

((6)) (7.5\ \mathrm{cm}\quad{(\mathrm{mm})})

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1

((1)) (200\ \mathrm{cm})

((2)) (3000\ \mathrm{m})

((3)) (9800\ \mathrm{m})

((4)) (28000\ \mathrm{m})

((5)) (320\ \mathrm{cm})

((6)) (75\ \mathrm{mm})

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重さの単位

\begin{eqnarray}
1\ \mathrm{kg}&=&1000\ \mathrm{g}\
1\ \mathrm{t}&=&1000\ \mathrm{kg}
\end{eqnarray
}
例えば
\begin{eqnarray}
7.2\ \mathrm{kg}&=&7.2\times{1000}=7200\ \mathrm{g}\
53\ \mathrm{t}&=&53\times{1000}=53000\ \mathrm{kg}
\end{eqnarray
}

2次の量をカッコ内の単位で表しなさい.

((1)) (12\ \mathrm{t}\quad{(\mathrm{kg})})

((2)) (6\ \mathrm{kg}\quad{(\mathrm{g})})

((3)) (5.2\ \mathrm{t}\quad{(\mathrm{kg})})

((4)) (3.7\ \mathrm{kg}\quad{(\mathrm{g})})

((5)) (8.14\ \mathrm{t}\quad{(\mathrm{kg})})

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2

((1)) (12000\ \mathrm{kg})

((2)) (6000\ \mathrm{g})

((3)) (5200\ \mathrm{kg})

((4)) (3700\ \mathrm{g})

((5)) (8140\ \mathrm{kg})

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面積の単位

\begin{eqnarray}
1\ \mathrm{m}^{2}&=&10000\ \mathrm{cm}^{2}\
1\ \mathrm{a}&=&100\ \mathrm{m}^{2}\
1\ \mathrm{ha}&=&100\ \mathrm{a}\
1\ \mathrm{km}^{2}&=&100\ \mathrm{ha}\
&=&10000\ \mathrm{a}\
&=&1000000\ \mathrm{m}^{2}
\end{eqnarray
}
例えば
\begin{eqnarray}
42\ \mathrm{m}^{2}&=&42\times{10000}=420000\ \mathrm{cm}^{2}\
7\ \mathrm{a}&=&7\times{100}=700\ \mathrm{m}^{2}\
8.5\ \mathrm{ha}&=&8.5\times{100}=850\ \mathrm{a}\
11\ \mathrm{km}^{2}&=&11000000\ \mathrm{m}^{2}
\end{eqnarray
}
となります.

3次の量をカッコ内の単位で表しなさい.

((1)) (2\ \mathrm{m}^{2}\quad{(\mathrm{cm}^{2})})

((2)) (7\ \mathrm{ha}\quad{(\mathrm{a})})

((3)) (5\ \mathrm{km}^{2}\quad{(\mathrm{m}^{2})})

((4)) (1.7\ \mathrm{a}\quad{(\mathrm{m}^{2})})

((5)) (6.25\ \mathrm{ha}\quad{(\mathrm{a})})

((6)) (\dfrac{24}{5}\ \mathrm{km}^{2}\quad{(\mathrm{m}^{2})})

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3

((1)) (20000\ \mathrm{cm}^{2})

((2)) (700\ \mathrm{a})

((3)) (5000000\ \mathrm{m}^{2})

((4)) (170\ \mathrm{m}^{2})

((5)) (625\ \mathrm{a})

((6)) (4800000\ \mathrm{m}^{2})

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体積の単位

\begin{eqnarray}
1\ \mathrm{\ell}&=&10\ \mathrm{d\ell}\
&=&1000\ \mathrm{cm}^{3}\
1\ \mathrm{m}^{3}&=&1000\ \mathrm{\ell}\
&=&1000000\ \mathrm{cm}^{3}
\end{eqnarray
}
例えば
\begin{eqnarray}
4\ \mathrm{\ell}&=&4\times{10}=40\ \mathrm{d\ell}\
8\ \mathrm{\ell}&=&8\times{1000}=8000\ \mathrm{cm}^{3}\
9.8\ \mathrm{m}^{3}&=&9.8\times{1000}=9800\ \mathrm{\ell}
\end{eqnarray
}
となります.

5次の量をカッコ内の単位で表しなさい.

((1)) (2\ \mathrm{\ell}\quad{(\mathrm{d\ell})})

((2)) (5.5\ \mathrm{\ell}\quad{(\mathrm{cm}^{3})})

((3)) (8.1\ \mathrm{m}^{3}\quad{(\mathrm{\ell})})

((4)) (12.5\ \mathrm{m}^{3}\quad{(\mathrm{\ell})})

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5

((1)) (20\ \mathrm{d\ell})

((2)) (5500\ \mathrm{cm}^{3})

((3)) (8100\ \mathrm{\ell})

((4)) (12500\ \mathrm{\ell})

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