1.8*10^-2/0.0831*500

asked by guest
on Nov 17, 2024 at 1:58 pm



You asked:

Evaluate the expression: \(\frac{1.8 \cdot {10}^{-2}}{0.0831} \cdot 500\)

MathBot Answer:

\[\frac{1.8 \cdot {10}^{-2}}{0.0831} \cdot 500 = \frac{30000}{277} = 108.\overline{303249097472924187725631768953068592057761732851985559566787003610108}\]

\[\begin{aligned}\frac{1.8 \cdot {10}^{-2}}{0.0831} \cdot 500& = \left(1 + \frac{8}{10}\right) \cdot \frac{1}{10^{2}} \cdot \frac{1}{\frac{831}{10000}} \cdot 500\\& = \left(1 + \frac{4}{5}\right) \cdot \frac{1}{10^{2}} \cdot \frac{1}{\frac{831}{10000}} \cdot 500\\& = \frac{9}{5} \cdot \frac{1}{10^{2}} \cdot \frac{1}{\frac{831}{10000}} \cdot 500\\& = \frac{9}{5} \cdot \frac{1}{100} \cdot \frac{1}{\frac{831}{10000}} \cdot 500\\& = \frac{9}{5} \cdot \frac{1}{100} \cdot \frac{10000}{831} \cdot 500\\& = \frac{9}{500} \cdot \frac{10000}{831} \cdot 500\\& = \frac{60}{277} \cdot 500\\& = \frac{30000}{277}\end{aligned}\]

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