簡約 1/25.8910^{-3}243.770.5888

解

簡約

\frac{1}{2} \cdot 5.89 \cdot 1 0^{- 3} \cdot 243.77 \cdot 0.5888

\frac{330235219}{781250000}

十進法表記

0.42270 \dots

解答ステップ

\frac{1}{2} \cdot 5.89 \cdot 1 0^{- 3} \cdot 243.77 \cdot 0.5888

5.89 = \frac{589}{100}

= \frac{1}{2} \cdot \frac{589}{100} \cdot 1 0^{- 3} \cdot 243.77 \cdot 0.5888

243.77 = \frac{24377}{100}

= \frac{1}{2} \cdot \frac{589}{100} \cdot 1 0^{- 3} \cdot \frac{24377}{100} \cdot 0.5888

0.5888 = \frac{368}{625}

= \frac{1}{2} \cdot \frac{589}{100} \cdot 1 0^{- 3} \cdot \frac{24377}{100} \cdot \frac{368}{625}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= \frac{1}{2} \cdot \frac{589}{100} \cdot \frac{1}{1 0 ^{3}} \cdot \frac{24377}{100} \cdot \frac{368}{625}

1 0^{3} = 1000

= \frac{1}{2} \cdot \frac{589}{100} \cdot \frac{1}{1000} \cdot \frac{24377}{100} \cdot \frac{368}{625}

\frac{1}{2} \cdot \frac{589}{100} \cdot \frac{1}{1000} \cdot \frac{24377}{100} \cdot \frac{368}{625} = \frac{330235219}{781250000}

= \frac{330235219}{781250000}