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

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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.
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.
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1 answer

To find the sum \( p + q \) where \( p \) is positive and \( q \) is negative, you will start at the point \( p \) on the number line and then move left by the absolute value of \( q \).

From the descriptions of the number lines provided:

  1. The first number line shows an arrow moving right from \( p \), which does not represent adding a negative number.
  2. The second number line shows \( p \) to the right of 0 and a leftward arrow from \( p \), which correctly represents subtracting the absolute value of \( q \) (moving left, as \( q \) is negative).
  3. The third number line shows an arrow moving right from \( p \), which again does not represent adding a negative number.
  4. The fourth number line shows \( p \) and a leftward arrow to the left, corresponding to taking away a positive distance, indicating the movement in the direction of the negative number.

Based on this analysis, the correct choice that shows the way to find the sum \( p + q \) is:

The second number line.