4.22×10^27 - 3.9×10^25

asked by guest
on Sep 19, 2024 at 5:25 pm



You asked:

Evaluate the expression: \(4.22 \cdot {10}^{27} - 3.9 \cdot {10}^{25}\)

MathBot Answer:

\[4.22 \cdot {10}^{27} - 3.9 \cdot {10}^{25} = 4181000000000000000000000000\]

\[\begin{aligned}4.22 \cdot {10}^{27} - 3.9 \cdot {10}^{25}& = \left(4 + \frac{22}{100}\right) \cdot 10^{27} - \left(3 + \frac{9}{10}\right) \cdot 10^{25}\\& = \left(4 + \frac{11}{50}\right) \cdot 10^{27} - \left(3 + \frac{9}{10}\right) \cdot 10^{25}\\& = \frac{211}{50} \cdot 10^{27} - \left(3 + \frac{9}{10}\right) \cdot 10^{25}\\& = \frac{211}{50} \cdot 1000000000000000000000000000 - \left(3 + \frac{9}{10}\right) \cdot 10^{25}\\& = 4220000000000000000000000000 - \left(3 + \frac{9}{10}\right) \cdot 10^{25}\\& = 4220000000000000000000000000 - \frac{39}{10} \cdot 10^{25}\\& = 4220000000000000000000000000 - \frac{39}{10} \cdot 10000000000000000000000000\\& = 4220000000000000000000000000 - 39000000000000000000000000\\& = 4181000000000000000000000000\end{aligned}\]

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