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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. $\newline$ $6\frac{4}{5}$ $\times$ $957\frac{1}{5}$ $\newline$ 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

6\frac{4}{5}

\times

957\frac{1}{5}

\newline

The product is approximately _____.

Round First Factor: Round the first factor, $6 \frac{4}{5}$ , to the nearest whole number. $\newline$ $6 \frac{4}{5}$ is closer to $7$ than to $6$ . $\newline$ Rounded first factor = $7$
Round Second Factor: Round the second factor, $957 \frac{1}{5}$ , to the nearest hundred. $\newline$ $957$ is closer to $1000$ than to $900$ . $\newline$ Rounded second factor = $1000$
Multiply Rounded Factors: Multiply the rounded factors. $\newline$ $7 \times 1000 = 7000$

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