1001 $\pi$ 5-1010 $\pi$ 2-100 $\pi$ 8

asked by guest
on Nov 19, 2024 at 2:29 pm



You asked:

Evaluate the expression: \(1001 \cdot \pi \cdot 5 - 1010 \cdot \pi \cdot 2 - 100 \cdot \pi \cdot 8\)

MathBot Answer:

\[1001 \cdot \pi \cdot 5 - 1010 \cdot \pi \cdot 2 - 100 \cdot \pi \cdot 8 = 2185 \pi \approx 6864.3799480936982260408757924657138\]

\[\begin{aligned}1001 \cdot \pi \cdot 5 - 1010 \cdot \pi \cdot 2 - 100 \cdot \pi \cdot 8& = 5005 \cdot \pi - 1010 \cdot \pi \cdot 2 - 100 \cdot \pi \cdot 8\\& = 5005 \cdot \pi - 2020 \cdot \pi - 100 \cdot \pi \cdot 8\\& = 5005 \cdot \pi - 2020 \cdot \pi - 800 \cdot \pi\\& = 2985 \cdot \pi - 800 \cdot \pi\\& = 2185 \cdot \pi\end{aligned}\]

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