The vertical number line shows the height of a pool above and below the desired height at 0.

Thursday is 3 units above 0 and Wednesday is 2 units below 0.

Which equation shows how to find the distance between the water levels on Wednesday and Thursday?

Responses

To find the distance between the water levels on Wednesday and Thursday, you need to consider the absolute values of their positions on the vertical number line.

Given:
- Thursday is 3 units above 0, so the height is \( +3 \).
- Wednesday is 2 units below 0, so the height is \( -2 \).

The distance between the two levels is the difference between these two values in absolute terms:

\[
\text{Distance} = | \text{Thursday's level} - \text{Wednesday's level} |
\]

Substituting the values:

\[
\text{Distance} = | 3 - (-2) |
\]

This simplifies to:

\[
\text{Distance} = | 3 + 2 | = | 5 | = 5
\]

So, the correct equation to find the distance between the water levels on Wednesday and Thursday is:

\[
| 3 - (-2) |
\]

Would you like more details or have any questions?

Here are five related questions to consider:
1. What is the significance of using absolute values in this context?
2. How would the equation change if Wednesday was 3 units below 0 instead of 2?
3. How do you interpret negative numbers in a vertical number line scenario?
4. Can you generalize the formula for finding distances between any two points on a vertical number line?
5. How would the equation look if both days were below the desired height?

**Tip:** Always use absolute values when calculating distances between two points to ensure the result is non-negative.

Understand how to calculate the distance between water levels on a vertical number line for Wednesday and Thursday. Learn about absolute values and their application in mathematical problems. Suitable for Grades 4-6.

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