Answer
$\frac{13}{2}$
Work Step by Step
In order to find the distance between two points, we can find the absolute value of the difference of the numbers (taken in either order).
$D=-6$
$F=\frac{1}{2}$
$|(-6-\frac{1}{2})|=|-(6+\frac{1}{2})|=|-(\frac{12}{2}+\frac{1}{2})|=|-(\frac{12+1}{2})|=|-\frac{12+1}{2}|=\frac{13}{2}$
The absolute value of a number $a$ is equal to $a$ if $a\geq0$ and is equal to $-a$ if $a\lt0$. $-11\lt0$, so $|-11|=-(-11)=11$ Therefore, the distance between the two points is 11.