Question

Which expressions represent the distance between the two points?



Choose all answers that are correct.



The number line shows two points with coordinates negative 9 and positive 13.
A.

|–9 – 13|
B.

|13 – (–9)|
C.

|–13 + 9]
D.

13 – (–9)

Answer 1

Ruler Postulate Summary
1.On a number line, every point can be paired with a number and every number can be paired with a point.
2.The number associated with a point A on a number line is called its coordinate.
3.The distance between two point A and B is denoted by AB. (Note: there is NO line segment symbol!)
4.The length of a line segment is a positive number (in geometry).
5.The distance between two points on a number line can be found by taking the absolute value of the difference of their coordinates.
http://www.geom.uiuc.edu/~demo5337/Group3/distanc2.html

Answer 2

The distance between two points on a number line can be found by taking the absolute value of the difference of their coordinates.

Answer 3

Yes.

According to the diagram and the above instructions, the distance is the absolute value of the quantity (-9 - 13).