簡約 999.9999800000000…(1*10^{-2})

解

簡約

999.9999800000000 \dots (1 \cdot 1 0^{- 2})

9.9999998

解答ステップ

999.99998 (1 \cdot 1 0^{- 2})

規則を適用する:

1 \cdot a = a

1 \cdot 1 0^{- 2} = 1 0^{- 2}

= 999.99998 \cdot 1 0^{- 2}

指数の規則を適用する:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 999.99998 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 999.99998 \cdot \frac{1}{100}

999.99998 \cdot \frac{1}{100} = \frac{999.99998}{100}

= \frac{999.99998}{100}

数を割る:

\frac{999.99998}{100} = 9.9999998

= 9.9999998