Estimate the difference. Round each number to the nearest whole number, then subtract. $\newline$ $8\frac{5}{6}$ $\ –\$ $5\frac{9}{11}$ $\newline$ The difference is approximately $\underline{\hspace{3em}}$ .

Full solution

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

\newline

8\frac{5}{6}

\ –\

5\frac{9}{11}

\newline

The difference is approximately

\underline{\hspace{3em}}

Round to nearest whole number: Round $8\frac{5}{6}$ to the nearest whole number. $\newline$ $8\frac{5}{6}$ is closer to $9$ than it is to $8$ because $\frac{5}{6}$ is more than half. $\newline$ Rounded value = $9$
Subtract rounded values: Round $5\frac{9}{11}$ to the nearest whole number. $\newline$ $5\frac{9}{11}$ is closer to $6$ than it is to $5$ because $\frac{9}{11}$ is also more than half. $\newline$ Rounded value = $6$
Subtract rounded values: Round $5\frac{9}{11}$ to the nearest whole number. $\newline$ $5\frac{9}{11}$ is closer to $6$ than it is to $5$ because $\frac{9}{11}$ is also more than half. $\newline$ Rounded value = $6$ Subtract the rounded values. $\newline$ $9 - 6 = 3$