(0.2 * 3) + (0.086 * 5) + (0.8) (0.914) (-2)

asked by guest
on Nov 20, 2024 at 1:28 am



You asked:

Evaluate the expression: \(0.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2\)

MathBot Answer:

\[0.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2 = - \frac{1081}{2500} = -0.4324\]

\[\begin{aligned}0.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2& = \frac{2}{10} \cdot 3 + \frac{86}{1000} \cdot 5 + \frac{8}{10} \cdot \frac{914}{1000} \cdot -2\\& = \frac{3}{5} + \frac{86}{1000} \cdot 5 + \frac{8}{10} \cdot \frac{914}{1000} \cdot -2\\& = \frac{3}{5} + \frac{43}{500} \cdot 5 + \frac{8}{10} \cdot \frac{914}{1000} \cdot -2\\& = \frac{3}{5} + \frac{43}{100} + \frac{8}{10} \cdot \frac{914}{1000} \cdot -2\\& = \frac{3}{5} + \frac{43}{100} + \frac{4}{5} \cdot \frac{914}{1000} \cdot -2\\& = \frac{3}{5} + \frac{43}{100} + \frac{3656}{5} \cdot \frac{-2}{1000}\\& = \frac{3}{5} + \frac{43}{100} + \frac{457}{625} \cdot -2\\& = \frac{3}{5} + \frac{43}{100} - \frac{914}{625}\\& = \frac{103}{100} - \frac{914}{625}\\& = - \frac{1081}{2500}\end{aligned}\]

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