Question

Use the number line diagram below to answer the following questions.1.What is the length of each segment on the number line?

Answer 1

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

$\frac{1-0}{12}=\frac{1}{12}$

Hence, the answer is

$\frac{1}{12}$

2) There are 8 segments between 0 and K.

Therefore, point K represents

$\frac{1}{12}\times8=\frac{8}{12}=\frac{2}{3}$

Hence, the answer is

$\frac{2}{3}$

3) The opposite of K is

$-\frac{2}{3}\text{ since it falls on the negative side of the number line.}$

Hence, the answer is

$-\frac{2}{3}$