Question

The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:

a horizontal number line extends from negative 3 to positive 3. The point labeled as A is at negative 2.5, the point 0 is labeled as X, and the point labeled B is at 1.5

Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)

Part B: Show your work and solve for the distance using additive inverses. (5 points)

Answer 1

Given : The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:

A = -2.5

X = 0

B = 1.5

To Find :  an expression using subtraction to find the distance between the two divers.

Solution:

distance between the two divers.

| B - A |  or | A - B|

or B - A     as B > A

distance between the two divers.

| 1.5 - (-2.5) |  or | -2.5 - 1.5|

or  1.5 - (-2.5)

1.5 - (-2.5)

Additive inverse of a number "x" is -x

Hence Additive inverse of -2.5 = 2.5

1.5 + 2.5

= 4

distance between the two divers. = 4m

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