Mark the points 6, -4 on a number line and also find the distance between them

Answer

To solve the question of marking the points 6 and -4 on a number line and finding the distance between them, follow these steps:

### Step-by-Step Solution:

1. **Draw the Number Line:**
- Start by drawing a horizontal line. This will be your number line.
- Mark a point in the center as the origin (0).

2. **Label the Positive Side:**
- To the right of the origin (0), label the numbers 1, 2, 3, 4, 5, and 6.
- This shows the positive integers.

3. **Mark the Point 6:**
- Locate the point labeled 6 on the number line and mark it clearly.

4. **Label the Negative Side:**
- To the left of the origin (0), label the numbers -1, -2, -3, and -4.
- This shows the negative integers.

5. **Mark the Point -4:**
- Locate the point labeled -4 on the number line and mark it clearly.

6. **Finding the Distance Between -4 and 6:**
- To find the distance between two points on the number line, you can use the formula:
\[ \text{Distance} = |x_2 - x_1| \]
- Here, \(x_1 = -4\) and \(x_2 = 6\).
- Substitute the values into the formula:
\[ \text{Distance} = |6 - (-4)| = |6 + 4| = |10| = 10 \]

7. **Conclusion:**
- The distance between the points -4 and 6 on the number line is 10 units.