Question: Plot $1.8$ and $-9.6$ on the number line below.
Find the distance between $1.8$ and $-9.6$.
Answer
Attempt $1$ out of $2$
1. **State the problem:** We need to find the distance between the points $1.8$ and $-9.6$ on a number line.
2. **Formula used:** 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:** Substitute $a = 1.8$ and $b = -9.6$:
$$\text{Distance} = |1.8 - (-9.6)| = |1.8 + 9.6|$$
4. **Calculate the sum inside the absolute value:**
$$1.8 + 9.6 = 11.4$$
5. **Evaluate the absolute value:**
$$|11.4| = 11.4$$
6. **Interpretation:** The distance between $1.8$ and $-9.6$ on the number line is $11.4$ units.
**Final answer:**
$$\boxed{11.4}$$