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 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.

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.

GPT-4o mini · Answer

To find the sum $ p + q $ where $ p $ is a positive number and $ q $ is a negative number, you start at the positive point $ p $ on a number line and then move to the left by the absolute value of $ q $ (because $ q $ is negative). From the descriptions you provided, the correct number line would be the one that shows: 1. Point $ p $ marked as being to the right of zero (since $ p $ is positive). 2. A leftward arrow labeled "absolute value of q," moving from point $ p $ to a point to the left, indicating that it is subtracting from $ p $. Therefore, the second response fits this description: - A number line shows point 0, with point $ p $ located 5 intervals to the right. - The arrow labeled "absolute value of q" starts at $ p $ and ends 4 intervals to the left of $ p $. This accurately represents the operation of adding a negative number (which is the same as subtracting its absolute value) to a positive number.