簡約 0.623.14(25*10^{-3}) 1/4

解

簡約

0.62 \cdot 3.14 \cdot (25 \cdot 1 0^{- 3}) \frac{1}{4}

\frac{4867}{400000}

十進法表記

0.0121675

解答ステップ

0.62 \cdot 3.14 (25 \cdot 1 0^{- 3}) \frac{1}{4}

0.62 = \frac{31}{50}

= \frac{31}{50} \cdot 3.14 \cdot 25 \cdot 1 0^{- 3} \cdot \frac{1}{4}

3.14 = \frac{157}{50}

= \frac{31}{50} \cdot \frac{157}{50} \cdot 25 \cdot 1 0^{- 3} \cdot \frac{1}{4}

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{31}{50} \cdot \frac{157}{50} \cdot 25 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{1}{4}

1 0^{3} = 1000

= \frac{31}{50} \cdot \frac{157}{50} \cdot 25 \cdot \frac{1}{1000} \cdot \frac{1}{4}

\frac{31}{50} \cdot \frac{157}{50} \cdot 25 \cdot \frac{1}{1000} \cdot \frac{1}{4} = \frac{4867}{400000}

= \frac{4867}{400000}