Question

Which expression shows the distance you would drive from the gym to the office along this road?

A number line from negative 8 to 6. Negative 6 is labeled Gym. 0 is labeled Home. 4 is labeled Office.
CLEAR CHECK

|−6+4|

−6+4

|−6|+|4|

−|6|+|4|

Answer 1

The expression that shows the distance you would drive from the gym to the office along this road is: |−6 + 4|

This expression represents the absolute value of the difference between the positions of the gym and the office on the number line. The absolute value ensures that the distance is considered without regard to direction.

The absolute value of a number is its distance from zero on the number line, regardless of direction. In this case, it is the distance between the gym and the office. The expression that shows the distance you would drive from the gym to the office along this road is: |−6 + 4|