(7.21*10^4)-(3.4*10^3)
You asked:
Evaluate the expression: \(7.21 \cdot {10}^{4} - 3.4 \cdot {10}^{3}\)
MathBot Answer:
\[7.21 \cdot {10}^{4} - 3.4 \cdot {10}^{3} = 68700\]
\[\begin{aligned}7.21 \cdot {10}^{4} - 3.4 \cdot {10}^{3}& = \left(7 + \frac{21}{100}\right) \cdot 10^{4} - \left(3 + \frac{4}{10}\right) \cdot 10^{3}\\& = \frac{721}{100} \cdot 10^{4} - \left(3 + \frac{4}{10}\right) \cdot 10^{3}\\& = \frac{721}{100} \cdot 10000 - \left(3 + \frac{4}{10}\right) \cdot 10^{3}\\& = 72100 - \left(3 + \frac{4}{10}\right) \cdot 10^{3}\\& = 72100 - \left(3 + \frac{2}{5}\right) \cdot 10^{3}\\& = 72100 - \frac{17}{5} \cdot 10^{3}\\& = 72100 - \frac{17}{5} \cdot 1000\\& = 72100 - 3400\\& = 68700\end{aligned}\]