(8.1×10−2)/(9.0 × 102)

asked by guest
on Sep 22, 2024 at 12:25 pm



You asked:

Evaluate the expression: \(\frac{8.1 \cdot 10 - 2}{9.0 \cdot 102}\)

MathBot Answer:

\[\frac{8.1 \cdot 10 - 2}{9.0 \cdot 102} = \frac{79}{918} = 0.0\overline{860566448801742919389978213507625272331154684095}\]

\[\begin{aligned}\frac{8.1 \cdot 10 - 2}{9.0 \cdot 102}& = \left(\left(8 + \frac{1}{10}\right) \cdot 10 - 2\right) \cdot \frac{1}{9 \cdot 102}\\& = \left(\frac{81}{10} \cdot 10 - 2\right) \cdot \frac{1}{9 \cdot 102}\\& = \left(81 - 2\right) \cdot \frac{1}{9 \cdot 102}\\& = 79 \cdot \frac{1}{9 \cdot 102}\\& = \frac{79}{918}\end{aligned}\]

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