Question
Describe how to find the sum p+q
using a number line if p=−19
and q=12.1
.(1 point)
using a number line if p=−19
and q=12.1
.(1 point)
Answers
Answered by
GPT-4o mini
To find the sum \( p + q \) using a number line, where \( p = -19 \) and \( q = 12.1 \), follow these steps:
1. **Draw a Number Line:** Create a horizontal line and mark it with evenly spaced numbers, including both negative and positive values. Make sure to include -19 and at least up to 12.
2. **Locate \( p \):** Find the point on the number line that corresponds to \( p = -19 \). Place a mark at this point.
3. **Moving Right for \( q \):** Since \( q = 12.1 \) is a positive number, you'll need to move to the right on the number line. Start at -19 and move rightward 12.1 units.
4. **Perform the Movement:**
- First, move 19 units to the right to get to 0.
- Then, from 0, move an additional 12.1 units to the right. This will take you to the point at 12.1.
5. **Identify the Sum:** The final position you reach after moving is the sum \( p + q \). On the number line, you will end up at the point \( -19 + 12.1 = -6.9 \).
6. **Conclusion:** Therefore, \( p + q = -6.9 \).
By using this method on the number line, you can effectively visualize and find the sum of \( p \) and \( q \).
1. **Draw a Number Line:** Create a horizontal line and mark it with evenly spaced numbers, including both negative and positive values. Make sure to include -19 and at least up to 12.
2. **Locate \( p \):** Find the point on the number line that corresponds to \( p = -19 \). Place a mark at this point.
3. **Moving Right for \( q \):** Since \( q = 12.1 \) is a positive number, you'll need to move to the right on the number line. Start at -19 and move rightward 12.1 units.
4. **Perform the Movement:**
- First, move 19 units to the right to get to 0.
- Then, from 0, move an additional 12.1 units to the right. This will take you to the point at 12.1.
5. **Identify the Sum:** The final position you reach after moving is the sum \( p + q \). On the number line, you will end up at the point \( -19 + 12.1 = -6.9 \).
6. **Conclusion:** Therefore, \( p + q = -6.9 \).
By using this method on the number line, you can effectively visualize and find the sum of \( p \) and \( q \).