(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: 0.23+0.0865+0.80.91420.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2

MathBot Answer:

0.23+0.0865+0.80.9142=10812500=0.43240.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2 = - \frac{1081}{2500} = -0.4324


0.23+0.0865+0.80.9142=153+0.0865+0.80.9142=35+0.0865+0.80.9142=35+435005+0.80.9142=35+43100+0.80.9142=103100+0.80.9142=103100+450.9142=103100+454575002=103100+4576252=103100+914625=10812500\begin{aligned}0.2 \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2&=\frac{1}{5} \cdot 3 + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2\\&=\frac{3}{5} + 0.086 \cdot 5 + 0.8 \cdot 0.914 \cdot -2\\&=\frac{3}{5} + \frac{43}{500} \cdot 5 + 0.8 \cdot 0.914 \cdot -2\\&=\frac{3}{5} + \frac{43}{100} + 0.8 \cdot 0.914 \cdot -2\\&=\frac{103}{100} + 0.8 \cdot 0.914 \cdot -2\\&=\frac{103}{100} + \frac{4}{5} \cdot 0.914 \cdot -2\\&=\frac{103}{100} + \frac{4}{5} \cdot \frac{457}{500} \cdot -2\\&=\frac{103}{100} + \frac{457}{625} \cdot -2\\&=\frac{103}{100} + \frac{-914}{625}\\&=\frac{-1081}{2500}\end{aligned}