Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)

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 mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.

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.

GPT-4o mini · Answer

To find the sum $ p + q $ when $ p $ is positive and $ q $ is negative, we need to start from point $ p $ and move left on the number line by the absolute value of $ q $ (since $ q $ is negative). Let's analyze the descriptions of the number lines you provided: 1. **First image:** Shows $ p $ at 5 intervals to the right of 0. A leftward arrow labeled $ |q| $ (the absolute value of $ q $) starts at $ p $ and ends 4 intervals to the left of $ p $. This is correct because it indicates moving left from $ p $ by the positive distance $ |q| = 4 $, representing the addition of a negative number to a positive one. 2. **Second image:** Begins at $ p $ and incorrectly moves right by $ |q| $ (which would imply adding a positive number instead of subtracting). This does not reflect the operation of adding a negative. 3. **Third image:** Shows $ p $ at the seventh interval from the left, with zero marked at 2 intervals to the right of $ p $. An arrow moves left to the second interval from the left, indicating that $ q $ has a value that brings us back by the absolute value of $ q $. This method reflects the correct representation of adding a negative number. Based on these descriptions, the correct number line for the operation $ p + q $ is displayed in the **first image**, as it correctly illustrates moving left from $ p $ to find the sum.