Discussion
Which one of the following is the best approximation of \( \frac{7.1 \times 3.85}{9.09} \)?
Answer: B
The best approximation is \( \frac{7 \times 4}{9} \).
Round each number to the nearest whole number: 7.1 is about 7, 3.85 is about 4, and 9.09 is about 9.
\[ \begin{aligned} \frac{7.1 \times 3.85}{9.09} &\approx \frac{7 \times 4}{9} \\ &\approx 3.1 \end{aligned} \]
The exact value is about 3.007. Rounding 3.85 down to 3 makes the numerator far too small, and rounding 9.09 up to 10 moves the denominator further than necessary, so the options with 3 or 10 are poorer approximations.
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