Question

1. use the number line to answer parts (a) and (b). a. plot a point that is the same distance from 0 as point f but in a different location. label the point g. b. when describing the location of point f, tara says that point f is located 4 units from 0. explain why tara’s statement is not precise.

Explanation:

Part (a)

Step1: Identify Point F's Location

From the number line, point F is at 4. The distance of F from 0 is \( |4 - 0| = 4 \). A point with the same distance from 0 but different location would be at -4 (since \( |-4 - 0| = 4 \)).

Step2: Plot Point G

On the number line, plot a point at -4 and label it G. (Note: Since we can't draw here, we describe the location. The number line has 0,1,2,3,4,5,6. So -4 would be to the left of 0, 4 units away.)

Part (b)

Tara's statement is not precise because saying a point is 4 units from 0 doesn't specify the direction (left or right on the number line). There are two points (4 and -4) that are 4 units from 0, so just stating the distance isn't enough to uniquely identify the location of point F.

Answer:

(for part a description):
Point G is plotted at -4 (4 units left of 0, same distance from 0 as F (at 4) but different location).