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

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. 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.

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.
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.

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 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.

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 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.
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GPT-4o mini · Answer

To find the sum $ p + q $ where $ p $ is positive and $ q $ is negative, you start from the position of $ p $ on the number line and then move to the left by the absolute value of $ q $ (which represents how far you go in the negative direction). Given this, the correct representation among the options would show: 1. Point $ p $ being located positively on the number line. 2. An arrow pointing left from $ p $ indicating that you're subtracting the value of $ q $ (moving into the negative). From the descriptions provided, the third option mentions that point $ p $ is marked on the seventh interval from the left (indicating it's positive), and there is a leftward arrow labeled with the absolute value of $ q $ moving from $ p $ to the second interval from the left (which accounts for moving into the negative). This aligns perfectly with the operation of adding a negative number. Therefore, the correct number line showing how to find the sum $ p + q $ is the **third option**.