簡約 999.9999800000000…(9.9*10^{-3})

解

簡約

999.9999800000000 \dots (9.9 \cdot 1 0^{- 3})

9.89999 \dots

解答ステップ

999.99998 (9.9 \cdot 1 0^{- 3})

1 0^{- 3} = \frac{1}{1000}

= 999.99998 \cdot 9.9 \cdot \frac{1}{1000}

9.9 \cdot \frac{1}{1000} = \frac{9.9}{1000}

= 999.99998 \cdot \frac{9.9}{1000}

数を割る:

\frac{9.9}{1000} = 0.0099

= 999.99998 \cdot 0.0099

数を乗じる:

999.99998 \cdot 0.0099 = 9.89999 \dots

= 9.89999 \dots