Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)
The correct way to find the sum p + q if p is positive and q is negative is shown on the number line below:
0---p---|---q---
To find the sum p+q when p is positive and q is negative, you can use the number line as a visual representation of addition and subtraction. Here's a step-by-step explanation:
1. Start by placing a dot on the number line to represent the positive number p. Label this dot as p.
2. Since q is negative, you need to move in the opposite direction on the number line. Starting from the dot representing p, move left (towards the negative side) by the absolute value of q. Label the dot where you end up as -q.
3. The sum p+q can be found by finding the distance from the dot representing p to the dot representing -q. This distance represents the sum of p and -q. Label this dot as p+q.
The resulting number line should show the dots labeled p, -q, and p+q, in that order. The distance between p and p+q represents the sum p+q.
Remember, positive numbers are represented to the right of zero on the number line, and negative numbers are represented to the left.