1.6* $10^{-4}$ /271

asked by guest
on Dec 27, 2024 at 5:10 am



You asked:

Evaluate the expression: \(\frac{1.6 \cdot {10}^{-4}}{271}\)

MathBot Answer:

\[\frac{1.6 \cdot {10}^{-4}}{271} = \frac{1}{1693750} = 0.00000\overline{05904}\]

\[\begin{aligned}\frac{1.6 \cdot {10}^{-4}}{271}& = \left(1 + \frac{6}{10}\right) \cdot \frac{1}{10^{4}} \cdot \frac{1}{271}\\& = \left(1 + \frac{3}{5}\right) \cdot \frac{1}{10^{4}} \cdot \frac{1}{271}\\& = \frac{8}{5} \cdot \frac{1}{10^{4}} \cdot \frac{1}{271}\\& = \frac{8}{5} \cdot \frac{1}{10000} \cdot \frac{1}{271}\\& = \frac{8}{5} \cdot \frac{1}{2710000}\\& = \frac{1}{1693750}\end{aligned}\]

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