1-0.8(1-0.1)

asked by guest
on Nov 27, 2024 at 9:15 pm



You asked:

Evaluate the expression: \(1 - 0.8 \cdot \left(1 - 0.1\right)\)

MathBot Answer:

\[1 - 0.8 \cdot \left(1 - 0.1\right) = \frac{7}{25} = 0.28\]


\[\begin{aligned}1 - 0.8 \cdot \left(1 - 0.1\right)& = 1 - \frac{8}{10} \cdot \left(1 - \frac{1}{10}\right)\\& = 1 - \frac{8}{10} \cdot \frac{9}{10}\\& = 1 - \frac{4}{5} \cdot \frac{9}{10}\\& = 1 - \frac{18}{25}\\& = \frac{7}{25}\end{aligned}\]