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energetics
\(10^{-3} - 10^{-6}\) =

A) 0.0009
B) 0.000999
C) 0.009
D) 0.00999
E) 0.999

Source: Essential Mathematics web-book by Franco Vivaldi
\(10^{-3} - 10^{-6}\)

= \(10^{-3} (1 - 10^{-3})\)

= \(10^{-3} (1 - \frac{1}{1000})\)

= \(10^{-3} (\frac{1000 - 1}{1000})\)

= \(10^{-3} (\frac{999}{1000})\)

= \(\frac{0.999}{1000}\)

= \(0.000999\), Answer must be (B)


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