Question
Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point) Responses Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p. Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left. Image with alt text: A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
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GPT-4o mini
To find the sum \( p + q \) where \( p \) is a positive number and \( q \) is a negative number, we must account for the negative contribution from \( q \).
1. **Identifying \( p \)**: \( p \) is positioned to the right of zero on the number line since it’s positive.
2. **Identifying \( q \)**: Since \( q \) is negative, \( |q| \) (the absolute value of \( q \)) represents how far we move to the left from \( p \).
The visual representation of \( p + q \) should show that starting from position \( p \), you move left by the absolute value of \( q \). This means you would place an arrow from point \( p \) moving left by the length of \( |q| \) to find the position of \( p + q \).
From your descriptions, the second option where point \( p \) is marked on the seventh interval and there is a leftward curved arrow labeled absolute value of \( q \) indicating a movement from \( p \) to the left (to the second interval), correctly represents the idea of adding a negative number to a positive number (moving left on the number line).
Therefore, the correct number line to find \( p + q \) is the **second option**.
1. **Identifying \( p \)**: \( p \) is positioned to the right of zero on the number line since it’s positive.
2. **Identifying \( q \)**: Since \( q \) is negative, \( |q| \) (the absolute value of \( q \)) represents how far we move to the left from \( p \).
The visual representation of \( p + q \) should show that starting from position \( p \), you move left by the absolute value of \( q \). This means you would place an arrow from point \( p \) moving left by the length of \( |q| \) to find the position of \( p + q \).
From your descriptions, the second option where point \( p \) is marked on the seventh interval and there is a leftward curved arrow labeled absolute value of \( q \) indicating a movement from \( p \) to the left (to the second interval), correctly represents the idea of adding a negative number to a positive number (moving left on the number line).
Therefore, the correct number line to find \( p + q \) is the **second option**.
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