4.1-1.25^2/0.005
You asked:
Evaluate the expression: \(4.1 - \frac{{1.25}^{2}}{0.005}\)
MathBot Answer:
\[4.1 - \frac{{1.25}^{2}}{0.005} = - \frac{1542}{5} = -308.4\]
\[\begin{aligned}4.1 - \frac{{1.25}^{2}}{0.005}& = 4 + \frac{1}{10} - \left(1 + \frac{25}{100}\right)^{2} \cdot \frac{1}{\frac{5}{1000}}\\& = 4 + \frac{1}{10} - \left(1 + \frac{1}{4}\right)^{2} \cdot \frac{1}{\frac{5}{1000}}\\& = 4 + \frac{1}{10} - \left(\frac{5}{4}\right)^{2} \cdot \frac{1}{\frac{5}{1000}}\\& = 4 + \frac{1}{10} - \frac{25}{16} \cdot \frac{1}{\frac{5}{1000}}\\& = 4 + \frac{1}{10} - \frac{25}{16} \cdot \frac{1}{\frac{1}{200}}\\& = 4 + \frac{1}{10} - \frac{625}{2}\\& = \frac{41}{10} - \frac{625}{2}\\& = - \frac{1542}{5}\end{aligned}\]