the product of 1.2*0.6*3.12*0.03 is equal

asked by guest
on Sep 20, 2024 at 10:24 am



You asked:

Evaluate the expression: \(1.2 \cdot 0.6 \cdot 3.12 \cdot 0.03\)

MathBot Answer:

\[1.2 \cdot 0.6 \cdot 3.12 \cdot 0.03 = \frac{1053}{15625} = 0.067392\]

\[\begin{aligned}1.2 \cdot 0.6 \cdot 3.12 \cdot 0.03& = \left(1 + \frac{2}{10}\right) \cdot \frac{6}{10} \cdot \left(3 + \frac{12}{100}\right) \cdot \frac{3}{100}\\& = \left(1 + \frac{1}{5}\right) \cdot \frac{6}{10} \cdot \left(3 + \frac{12}{100}\right) \cdot \frac{3}{100}\\& = \frac{6}{5} \cdot \frac{6}{10} \cdot \left(3 + \frac{12}{100}\right) \cdot \frac{3}{100}\\& = \frac{6}{5} \cdot \frac{6}{10} \cdot \left(3 + \frac{3}{25}\right) \cdot \frac{3}{100}\\& = \frac{6}{5} \cdot \frac{6}{10} \cdot \frac{78}{25} \cdot \frac{3}{100}\\& = \frac{36}{5} \cdot \frac{1}{10} \cdot \frac{78}{25} \cdot \frac{3}{100}\\& = \frac{18}{25} \cdot \frac{78}{25} \cdot \frac{3}{100}\\& = \frac{1404}{625} \cdot \frac{3}{100}\\& = \frac{4212}{625} \cdot \frac{1}{100}\\& = \frac{1053}{15625}\end{aligned}\]

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