Estimate the sum. Round each number to the nearest whole number, then add. $\newline$ $3\frac{11}{14}$ $+$ $5\frac{13}{19}$ $\newline$ The sum is approximately _____.

Full solution

Q. Estimate the sum. Round each number to the nearest whole number, then add.

\newline

3\frac{11}{14}

+

5\frac{13}{19}

\newline

The sum is approximately _____.

Round to Nearest Whole Number: Step $1$ : Round $3 \frac{11}{14}$ to the nearest whole number. $\newline$ $3 \frac{11}{14}$ is closer to $4$ than to $3$ because $\frac{11}{14}$ is more than half. $\newline$ Rounded value = $4$
Add Rounded Values: Step $2$ : Round $5\frac{13}{19}$ to the nearest whole number. $\newline$ $5\frac{13}{19}$ is closer to $6$ than to $5$ because $\frac{13}{19}$ is more than half. $\newline$ Rounded value = $6$
Add Rounded Values: Step $2$ : Round $5\frac{13}{19}$ to the nearest whole number. $\newline$ $5\frac{13}{19}$ is closer to $6$ than to $5$ because $\frac{13}{19}$ is more than half. $\newline$ Rounded value = $6$ Step $3$ : Add the rounded values. $\newline$ $4 + 6 = 10$ $\newline$ Sum = $10$