Question

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

Answer 1

To visualize the sum of a positive number \( p \) and a negative number \( q \) on a number line, you would start at the position of \( p \) (which is to the right of zero) and then move to the left by the magnitude of \( q \).

Here is a step-by-step guide on how to represent this:

1. **Locate \( p \)**: Start at zero on the number line and move to the right to find the position of \( p \).
2. **Locate \( q \)**: Since \( q \) is negative, consider its absolute value, and then move to the left from \( p \) by that amount.
3. **Resulting Position**: The final position after moving left will be the sum \( p + q \).

If you were to visualize this on a number line, you would:

- Start at the positive number \( p \).
- Move left for the value of \( |q| \).

Thus, the number line that shows this movement correctly represents \( p + q \) in this scenario.

Ultimately, you'll want the number line that:
- Starts at zero,
- Moves right to indicate a positive \( p \),
- Then moves left from that position to indicate subtracting a negative \( q \).