0.01*0.01/0.001*0.1

asked by guest
on Nov 12, 2024 at 8:00 am



You asked:

Evaluate the expression: \(\frac{0.01 \cdot 0.01}{0.001} \cdot 0.1\)

MathBot Answer:

\[\frac{0.01 \cdot 0.01}{0.001} \cdot 0.1 = \frac{1}{100} = 0.01\]

\[\begin{aligned}\frac{0.01 \cdot 0.01}{0.001} \cdot 0.1& = \frac{1}{100} \cdot \frac{1}{100} \cdot \frac{1}{\frac{1}{1000}} \cdot \frac{1}{10}\\& = \frac{1}{100} \cdot \frac{1}{100} \cdot 1000 \cdot \frac{1}{10}\\& = \frac{1}{100} \cdot \frac{1000}{100} \cdot \frac{1}{10}\\& = \frac{1000}{10000} \cdot \frac{1}{10}\\& = \frac{1}{10} \cdot \frac{1}{10}\\& = \frac{1}{100}\end{aligned}\]

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