Estimate the difference. Round each number to the nearest whole number, then subtract. $\newline$ $13\frac{12}{17}$ $\,–\,$ $10\frac{5}{6}$ $\newline$ The difference is approximately $\underline{\hspace{3em}}$ .

Full solution

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

\newline

13\frac{12}{17}

\,–\,

10\frac{5}{6}

\newline

The difference is approximately

\underline{\hspace{3em}}

Round to Nearest Whole Number: Step $1$ : Round $13\frac{12}{17}$ to the nearest whole number. $\newline$ $13\frac{12}{17}$ is closer to $14$ than to $13$ because $\frac{12}{17}$ is more than half. $\newline$ Rounded value = $14$
Subtract Rounded Values: Step $2$ : Round $10\frac{5}{6}$ to the nearest whole number. $\newline$ $10\frac{5}{6}$ is closer to $11$ than to $10$ because $\frac{5}{6}$ is almost a whole. $\newline$ Rounded value = $11$
Calculate Difference: Step $3$ : Subtract the rounded values. $\newline$ $14 - 11 = 3$ $\newline$ Difference = $3$