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. 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.

b. 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.

c . 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.

d . 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

a. b. c. or d.

Answer 2

show me plz

Answer 3

To find the sum \( p + q \) where \( p \) is positive and \( q \) is negative, you first identify \( p \) on the number line and then move to the left by the absolute value of \( q \) (since \( q \) is negative).

Given this, let's analyze your options:

- **Option a**: This option shows \( p \) 5 units right of 0 and moves left by 4 units, which is correctly showing the sum \( p + q \).

- **Option b**: This option incorrectly shows \( q \) moving to the right from \( p \), which would imply \( q \) is positive.

- **Option c**: This option places \( p \) at the seventh interval from the left and shows a leftward movement to the second interval from the left (which indicates moving 5 units left), but zero is incorrect as it is at an incorrect location (2 units to the right would mean 5 units left is inaccurate).

- **Option d**: This option also incorrectly makes a rightward movement from \( p \), which is not how you would add a negative number.

**Conclusion**: The correct option is **a**. It accurately represents finding the sum \( p + q \) by moving left from \( p \) the amount specified by the absolute value of the negative number \( q \).

Answer 4

The correct option that shows how to find the sum \( p + q \) where \( p \) is positive and \( q \) is negative is **a**.

This option accurately portrays \( p \) being to the right of 0, and it shows a movement to the left by the absolute value of \( q \), which is the correct way to represent the sum of a positive and a negative number.

Answer 5

I don’t have the capability to display images directly, but I can describe why option **a** is the correct representation for finding the sum \( p + q \) where \( p \) is positive and \( q \) is negative.

Here's a breakdown of the reasoning:

1. **Understanding the Scenario**:
- \( p \) is a positive number (let's say \( p = 5 \), so it's positioned 5 units to the right of 0 on the number line).
- \( q \) is a negative number (for example, \( q = -4 \)). The absolute value of \( q \) is \( 4 \).

2. **Finding \( p + q \)**:
- When adding \( q \) (a negative number) to \( p \), you effectively move left on the number line by the absolute value of \( q \).
- In our example (where \( p = 5 \) and \( q = -4 \)), you would start at \( 5 \) and move \( 4 \) units left, ending at \( 1 \).

3. **Option a Description**:
- **Option a** states that \( p \) is located 5 intervals to the right of 0, which we can consider as \( p = 5 \).
- The arrow labeled "absolute value of q" indicates moving left 4 units (the value 4 represents the absolute value of \( q \)).
- This matches the process of calculating \( p + q = 5 + (-4) = 1 \).

Thus, option **a** visually accurately depicts the mathematical operation of adding a positive and a negative number.

If you have access to the images, please look for the one that matches this description based on the explanations provided, and it will correspond to option **a**.