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

Question

Responses

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.

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.
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Answer 1

To find the sum \( p + q \) where \( p \) is a positive number and \( q \) is a negative number, you can think of the situation on a number line. Since \( q \) is negative, it will be represented by moving leftward from \( p \).

Here's how to analyze the choices:

1. First option: \( p \) is at 5, and \( q \) (as absolute value) is 4, leading to \( p + q \) being at 1, which is correct as a representation of moving leftward.

2. Second option: This suggests moving right from \( p \), which is incorrect since \( q \) is negative.

3. Third option: With \( p \) at the seventh interval from the left and moving left to the second interval, that means \( q \) is -5, leading to \( p + q = 2 \), which doesn't accurately represent the sum.

4. Fourth option: This suggests moving right from \( p \) when \( q \) is negative, which is incorrect.

Thus, the first option correctly shows how to find \( p + q \) by moving to the left from \( p \) based on the negative value of \( q \).

Answer 2

a. b. or c. d.

Answer 3

Based on your descriptions of the number lines and how they represent the sum \( p + q \) (with \( p \) being positive and \( q \) being negative):

• A: Shows \( p \) at 5 and moves 4 units left, arriving at 1, which correctly represents \( p + q \).
• B: Shows movement to the right from \( p \), which is incorrect since \( q \) is negative.
• C: Shows \( p \) at the seventh interval, moving left to the second interval, which would consider \( q \) incorrectly if \( q = -5\).
• D: Indicates movement to the right from \( p\), which is incorrect.

The correct answer is A.