To determine which expressions represent the distance between $-2$ and $1.5$, we need to consider the definition of distance on the number line. The distance between two numbers $a$ and $b$ is given by $|a - b|$ or $|b - a|$.

Let's evaluate the given choices:

1. Choice A: $| -2 - 1.5|$
   This represents the distance between $-2$ and $1.5$.
   $-2 - 1.5 = -3.5$, so $|-3.5| = 3.5$.

2. Choice B: $| 1.5 + 2|$
   This does not represent the distance between $-2$ and $1.5$ because the expression adds the two numbers instead of subtracting them.
   $1.5 + 2 = 3.5$, so $|3.5| = 3.5$, but this is not the correct form for calculating distance.

3. Choice C: $| 1.5 - 2|$
   This expression involves subtracting $2$ from $1.5$, which does not directly give the distance between $-2$ and $1.5$.
   $1.5 - 2 = -0.5$, so $|-0.5| = 0.5$, but this does not represent the distance between the two original points.

The correct answers are:

• Choice A: $| -2 - 1.5|$ (This correctly represents the distance between $-2$ and $1.5$.)
• Choice C: $|1.5 - (-2)| = |1.5 + 2|$ (This was not listed directly, but it would be the correct distance expression if given. Unfortunately, it's not present, so only Choice A directly applies.)

However, the problem as presented seems to require careful reading, as it implies that two answers should represent the distance, but in reality, only Choice A directly corresponds to the correct distance.

Would you like any further details or have any questions?

Here are 5 related questions:

1. What is the distance between $-3$ and $4.5$?
2. How would you represent the distance between $0$ and $5$ using an absolute value expression?
3. Calculate the distance between $7.2$ and $-1.3$.
4. Find the distance between $-4$ and $-2$.
5. What is the distance between $1.5$ and $2$?

Tip: Distance between two points on a number line is always positive and can be calculated using absolute value!