2.27.$10^{-6}$.45000
You asked:
Evaluate the expression: \(2.27 \cdot {.10}^{-6} \cdot .45000\)
MathBot Answer:
\[2.27 \cdot {.10}^{-6} \cdot .45000 = 1021500\]
\[\begin{aligned}2.27 \cdot {.10}^{-6} \cdot .45000& = \left(2 + \frac{27}{100}\right) \cdot \frac{1}{\left(\frac{1}{10}\right)^{6}} \cdot \frac{45}{100}\\& = \frac{227}{100} \cdot \frac{1}{\left(\frac{1}{10}\right)^{6}} \cdot \frac{45}{100}\\& = \frac{227}{100} \cdot \frac{1}{(\frac{1}{10})^{6}} \cdot \frac{45}{100}\\& = \frac{227}{100} \cdot 1000000 \cdot \frac{45}{100}\\& = 2270000 \cdot \frac{45}{100}\\& = \frac{102150000}{100}\\& = 1021500\end{aligned}\]