Question

Find the coordinate of the indicated point on a number line. Five-sixths of the distance from 1 to −13

Answer 1

Answer: The coordinate is $-10\frac{2}{3}$ or about -10.67

Explanation:

First, determine the distance from 1 to -13 on the number line:

$d = |x_1-x_2|=|1-(-13)|=14$

Next step is calculating Five-sixths of this distance:

$\frac{5}{6}d=\frac{5}{6}\cdot14=\frac{35}{3}=11\frac{2}{3}$

Finally, we "walk" that frcation of distance in the direction from 1 toward -13 (i.e., in the negative direction). The new coordinate x* is:

$x^*=1-11\frac{2}{3}=-10\frac{2}{3}=-10.\overline{6}$