10.6×10.8

asked by guest
on Sep 20, 2024 at 1:58 am



You asked:

Evaluate the expression: \(10.6 \cdot 10.8\)

MathBot Answer:

\[10.6 \cdot 10.8 = \frac{2862}{25} = 114.48\]

\[\begin{aligned}10.6 \cdot 10.8& = \left(10 + \frac{6}{10}\right) \cdot \left(10 + \frac{8}{10}\right)\\& = \left(10 + \frac{3}{5}\right) \cdot \left(10 + \frac{8}{10}\right)\\& = \frac{53}{5} \cdot \left(10 + \frac{8}{10}\right)\\& = \frac{53}{5} \cdot \left(10 + \frac{4}{5}\right)\\& = \frac{53}{5} \cdot \frac{54}{5}\\& = \frac{2862}{25}\end{aligned}\]

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