3*2.5*3*0.5*2.5*1.5

asked by guest
on Nov 28, 2024 at 5:53 pm



You asked:

Evaluate the expression: \(3 \cdot 2.5 \cdot 3 \cdot 0.5 \cdot 2.5 \cdot 1.5\)

MathBot Answer:

\[3 \cdot 2.5 \cdot 3 \cdot 0.5 \cdot 2.5 \cdot 1.5 = \frac{675}{16} = 42.1875\]

\[\begin{aligned}3 \cdot 2.5 \cdot 3 \cdot 0.5 \cdot 2.5 \cdot 1.5& = 3 \cdot \left(2 + \frac{5}{10}\right) \cdot 3 \cdot \frac{5}{10} \cdot \left(2 + \frac{5}{10}\right) \cdot \left(1 + \frac{5}{10}\right)\\& = 3 \cdot \left(2 + \frac{1}{2}\right) \cdot 3 \cdot \frac{5}{10} \cdot \left(2 + \frac{5}{10}\right) \cdot \left(1 + \frac{5}{10}\right)\\& = 3 \cdot \frac{5}{2} \cdot 3 \cdot \frac{5}{10} \cdot \left(2 + \frac{5}{10}\right) \cdot \left(1 + \frac{5}{10}\right)\\& = 3 \cdot \frac{5}{2} \cdot 3 \cdot \frac{5}{10} \cdot \left(2 + \frac{1}{2}\right) \cdot \left(1 + \frac{5}{10}\right)\\& = 3 \cdot \frac{5}{2} \cdot 3 \cdot \frac{5}{10} \cdot \frac{5}{2} \cdot \left(1 + \frac{5}{10}\right)\\& = 3 \cdot \frac{5}{2} \cdot 3 \cdot \frac{5}{10} \cdot \frac{5}{2} \cdot \left(1 + \frac{1}{2}\right)\\& = 3 \cdot \frac{5}{2} \cdot 3 \cdot \frac{5}{10} \cdot \frac{5}{2} \cdot \frac{3}{2}\\& = \frac{15}{2} \cdot 3 \cdot \frac{5}{10} \cdot \frac{5}{2} \cdot \frac{3}{2}\\& = \frac{45}{2} \cdot \frac{5}{10} \cdot \frac{5}{2} \cdot \frac{3}{2}\\& = \frac{225}{2} \cdot \frac{1}{10} \cdot \frac{5}{2} \cdot \frac{3}{2}\\& = \frac{45}{4} \cdot \frac{5}{2} \cdot \frac{3}{2}\\& = \frac{225}{8} \cdot \frac{3}{2}\\& = \frac{675}{16}\end{aligned}\]

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