2×22/7×3.5×3.5

asked by guest
on Nov 18, 2024 at 6:41 am



You asked:

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

MathBot Answer:

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

\[\begin{aligned}\frac{2 \cdot 22}{7} \cdot 3.5 \cdot 3.5& = 2 \cdot \frac{22}{7} \cdot \left(3 + \frac{5}{10}\right) \cdot \left(3 + \frac{5}{10}\right)\\& = 2 \cdot \frac{22}{7} \cdot \left(3 + \frac{1}{2}\right) \cdot \left(3 + \frac{5}{10}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \left(3 + \frac{5}{10}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \left(3 + \frac{1}{2}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{7}{2} \cdot \frac{7}{2}\\& = \frac{44}{7} \cdot \frac{7}{2} \cdot \frac{7}{2}\\& = 22 \cdot \frac{7}{2}\\& = 77\end{aligned}\]

+ Submit Question