(0.43 * (0.25 - 0.14)^2)

asked by guest
on Sep 23, 2024 at 8:23 am



You asked:

Evaluate the expression: \(0.43 \cdot {\left( 0.25 - 0.14 \right)}^{2}\)

MathBot Answer:

\[0.43 \cdot {\left( 0.25 - 0.14 \right)}^{2} = \frac{5203}{1000000} = 0.005203\]

\[\begin{aligned}0.43 \cdot {\left( 0.25 - 0.14 \right)}^{2}& = \frac{43}{100} \cdot \left(\frac{25}{100} - \frac{14}{100}\right)^{2}\\& = \frac{43}{100} \cdot \left(\frac{1}{4} - \frac{14}{100}\right)^{2}\\& = \frac{43}{100} \cdot \left(\frac{1}{4} - \frac{7}{50}\right)^{2}\\& = \frac{43}{100} \cdot \left(\frac{11}{100}\right)^{2}\\& = \frac{43}{100} \cdot \frac{121}{10000}\\& = \frac{5203}{1000000}\end{aligned}\]

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