How do you find the distance between each pair of points if you have -2 1/4 and -8


To find the distance between two points on a number line, we use the **distance formula**, which is the absolute difference between the two points. The formula is:

\[
d = |x_2 - x_1|
\]

In this case, the points are \(-2\frac{1}{4}\) (or \(-2.25\)) and \(-8\). Here's how to calculate it step-by-step:

### Step 1: Convert the mixed number
First, convert \(-2\frac{1}{4}\) to a decimal or an improper fraction:
\[
-2\frac{1}{4} = -2.25
\]

### Step 2: Apply the distance formula
Now, apply the formula \(d = |x_2 - x_1|\), where:
- \(x_1 = -2.25\)
- \(x_2 = -8\)

\[
d = |-8 - (-2.25)| = |-8 + 2.25| = |-5.75|
\]

### Step 3: Find the absolute value
\[
d = 5.75
\]

### Conclusion:
The distance between \(-2\frac{1}{4}\) and \(-8\) is **5.75 units**.

Would you like more details or have any questions about this solution?

Here are five related questions:
1. How do you find the midpoint between two points?
2. How do you find the distance between two points in 2D space?
3. What is the distance formula in 3D space?
4. How do you convert mixed numbers to decimals?
5. How do you add or subtract fractions?

**Tip:** Always ensure you're working with the correct signs when calculating distances—absolute values help eliminate sign errors.

How do you find the distance between each pair of points if you have -2 1/4 and -8?

Learn how to find the distance between -2 1/4 and -8 on a number line. This solution explains the distance formula, absolute value, and converting mixed numbers to decimals, ideal for students in Grades 6-8.

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