20 × 2 − (1/2) × 9.8 × 22
You asked:
Evaluate the expression: \(20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22\)
MathBot Answer:
\[20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22 = - \frac{339}{5} = -67.8\]
\[\begin{aligned}20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22& = 20 \cdot 2 - \frac{1}{2} \cdot \left(9 + \frac{8}{10}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \left(9 + \frac{8}{10}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \left(9 + \frac{4}{5}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \frac{49}{5} \cdot 22\\& = 40 - \frac{49}{10} \cdot 22\\& = 40 - \frac{539}{5}\\& = - \frac{339}{5}\end{aligned}\]