Given from the number line that the total number of segments between 0 and 1 is 12 segments.
1) Therefore, the length of each segment on the number line is
[tex]\frac{1-0}{12}=\frac{1}{12}[/tex]Hence, the answer is
[tex]\frac{1}{12}[/tex]2) There are 8 segments between 0 and K.
Therefore, point K represents
[tex]\frac{1}{12}\times8=\frac{8}{12}=\frac{2}{3}[/tex]Hence, the answer is
[tex]\frac{2}{3}[/tex]3) The opposite of K is
[tex]-\frac{2}{3}\text{ since it falls on the negative side of the number line.}[/tex]Hence, the answer is
[tex]-\frac{2}{3}[/tex]