On a number line, what other number is the same distance from −2.8 as −7.2 is?

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Explanation:

Let's find the distance between the two given values

Let a = -2.8 and b = -7.2

Subtract a and b, then apply absolute value to ensure the result isn't negative.

|a-b| = |-2.8-(-7.2)|

|a-b| = |-2.8+7.2|

|a-b| = |4.4|

|a-b| = 4.4

The distance from -2.8 to -7.2 is 4.4 units.

To go from -2.8 to -7.2, we moved 4.4 units to the left.

Let's go back to -2.8 and now move 4.4 units to the right.

So we add 4.4 onto -2.8 getting

-2.8+4.4 = 1.6

The diagram is shown below.

step-by-step explanation: