Question: Find the distance between $2.3$ and $-5.3$.
1. **State the problem:** We need to find the distance between the points $2.3$ and $-5.3$ on a number line.
2. **Formula:** The distance between two points $a$ and $b$ on a number line is given by the absolute value of their difference:
$$\text{Distance} = |a - b|$$
3. **Apply the formula:** Here, $a = 2.3$ and $b = -5.3$, so
$$\text{Distance} = |2.3 - (-5.3)| = |2.3 + 5.3|$$
4. **Calculate the sum inside the absolute value:**
$$2.3 + 5.3 = 7.6$$
5. **Evaluate the absolute value:** Since $7.6$ is positive,
$$|7.6| = 7.6$$
6. **Final answer:** The distance between $2.3$ and $-5.3$ is
$$\boxed{7.6}$$