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Estimate the product. Round the first factor to the nearest whole number, round the second factor to the nearest hundred, and then multiply. $\newline$ $8\frac{5}{6}$ $\times$ $267\frac{1}{6}$ $\newline$ The product is approximately _____.

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Estimate products of mixed numbers

Full solution

Q. Estimate the product. Round the first factor to the nearest whole number, round the second factor to the nearest hundred, and then multiply.

\newline

8\frac{5}{6}

\times

267\frac{1}{6}

\newline

The product is approximately _____.

Round to Nearest Whole Number: First, round $8\frac{5}{6}$ to the nearest whole number. $8\frac{5}{6}$ is closer to $9$ than it is to $8$ . $\newline$ Calculation: $8 + \frac{5}{6} \approx 9$
Round to Nearest Hundred: Next, round $267 \frac{1}{6}$ to the nearest hundred. $267$ is closer to $300$ than it is to $200$ . $\newline$ Calculation: $267 + \frac{1}{6} \approx 300$
Multiply Rounded Numbers: Now, multiply the rounded numbers. $\newline$ Calculation: $9 \times 300 = 2700$

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