Discussion
The value of \(\dfrac{0.125 \times 57.8 \times 0.729}{0.017 \times 0.0081 \times 0.25}\) is equal to
Answer: D
The value is 153000.
Remove the decimals. The numerator has 3 + 1 + 3 = 7 decimal places and the denominator 3 + 4 + 2 = 9, so the fraction equals the whole-number fraction times 102:
\[ \begin{aligned} &\frac{125 \times 578 \times 729}{17 \times 81 \times 25} \times 100 \\ &= 5 \times 34 \times 9 \times 100 \\ &= 153000 \end{aligned} \]
using 125/25 = 5, 578/17 = 34 and 729/81 = 9. The other options are the same digits with the decimal point misplaced, which is what happens if the decimal places are not counted correctly.
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