Question

find fg on the number line shown. (fg means \length of fg\)

Explanation:

Step1: Determine the coordinates of F and G

From the number line, the coordinate of \( F=-1.5 \) and the coordinate of \( G = 3 \)

Step2: Use the distance formula on the number line

The distance between two points \( x_1 \) and \( x_2 \) on a number line is \( d=\vert x_2 - x_1\vert\). Here \( x_1=-1.5\), \(x_2 = 3\), so \( FG=\vert3-(-1.5)\vert=\vert3 + 1.5\vert\)

Step3: Calculate the absolute - value expression

\(\vert3 + 1.5\vert=\vert4.5\vert = 4.5\)

Answer:

\(4.5\)