Estimate the difference. Round each number to the nearest whole number, then subtract. $\newline$ $10\frac{9}{13}$ $\,–\,$ $8\frac{1}{2}$ $\newline$ The difference is approximately _____.

Full solution

Q. Estimate the difference. Round each number to the nearest whole number, then subtract.

\newline

10\frac{9}{13}

\,–\,

8\frac{1}{2}

\newline

The difference is approximately _____.

Round to Nearest Whole Number: Step $1$ : Round $10\frac{9}{13}$ to the nearest whole number. $\newline$ $10\frac{9}{13}$ is closer to $11$ than to $10$ because $\frac{9}{13}$ is more than half. $\newline$ Rounded value = $11$
Subtract Rounded Values: Step $2$ : Round $8\frac{1}{2}$ to the nearest whole number. $\newline$ $8\frac{1}{2}$ is exactly between $8$ and $9$ , but we round up when it's a half. $\newline$ Rounded value = $9$
Subtract Rounded Values: Step $2$ : Round $8 \frac{1}{2}$ to the nearest whole number. $\newline$ $8 \frac{1}{2}$ is exactly between $8$ and $9$ , but we round up when it's a half. $\newline$ Rounded value = $9$ Step $3$ : Subtract the rounded values. $\newline$ $11 - 9 = 2$ $\newline$ Difference = $2$