= 2×(1/2)×22/7×3.5×3.5

asked by guest
on Oct 18, 2024 at 11:38 pm



You asked:

Evaluate the expression: \(\frac{2 \cdot \frac{1}{2} \cdot 22}{7} \cdot 3.5 \cdot 3.5\)

MathBot Answer:

\[\frac{2 \cdot \frac{1}{2} \cdot 22}{7} \cdot 3.5 \cdot 3.5 = \frac{77}{2} = 38.5\]

\[\begin{aligned}\frac{2 \cdot \frac{1}{2} \cdot 22}{7} \cdot 3.5 \cdot 3.5& = \frac{2}{2} \cdot \frac{22}{7} \cdot \left(3 + \frac{5}{10}\right) \cdot \left(3 + \frac{5}{10}\right)\\& = \frac{2}{2} \cdot \frac{22}{7} \cdot \left(3 + \frac{1}{2}\right) \cdot \left(3 + \frac{5}{10}\right)\\& = \frac{2}{2} \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \left(3 + \frac{5}{10}\right)\\& = \frac{2}{2} \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \left(3 + \frac{1}{2}\right)\\& = \frac{2}{2} \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \frac{7}{2}\\& = 1 \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \frac{7}{2}\\& = \frac{22}{7} \cdot \frac{7}{2} \cdot \frac{7}{2}\\& = 11 \cdot \frac{7}{2}\\& = \frac{77}{2}\end{aligned}\]

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