# an elevator went up 18 floors, down 6 floors, down 14 floors, up 19 floors, and down 25 floors. what is the net change in position

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An elevator went up 18 floors, down 6 floors, down 14 floors, up 19 floors, and down 25 floors. What is the net change in position?

Up 18, change is 18.

Down 6, net change is 13.

Down 14, net change is 1.

Up 19, net change is 18.

Down 25, net change is 7.

**The net change from the original position of the elevator is -7 or down 7 from the original position.**

*You start at 0. *

You go *up 18* floors, so your on the *18th* floor.

You go *down 6* floors, so your on the *12th* floor.

You go *down 14* floors, so your on the *-2th* floor (basement).

You go *up 19* floors, so your on the *17th* floor.

You go *down 25* floors, so your on the *8th* floor.

**The net change from original floor is 8 floors.**

If the floor you begin at is considered to be 0, and the term down refers to a negative value while up refers to a positive value:

up 18 floors= change of +18

**down 6 floors= change of +12**

down 14 floors= change of -2

up 19 floors= change of +17

down 25 floors= change of -7.

Your final position ends with a change of 8 units. If direction was also considered the change would be -8.