20 × 2 − (1/2) × 9.8 × 22

asked by guest
on Oct 23, 2024 at 8:24 pm



You asked:

Evaluate the expression: \(20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22\)

MathBot Answer:

\[20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22 = - \frac{339}{5} = -67.8\]

\[\begin{aligned}20 \cdot 2 - \frac{1}{2} \cdot 9.8 \cdot 22& = 20 \cdot 2 - \frac{1}{2} \cdot \left(9 + \frac{8}{10}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \left(9 + \frac{8}{10}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \left(9 + \frac{4}{5}\right) \cdot 22\\& = 40 - \frac{1}{2} \cdot \frac{49}{5} \cdot 22\\& = 40 - \frac{49}{10} \cdot 22\\& = 40 - \frac{539}{5}\\& = - \frac{339}{5}\end{aligned}\]

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