Which number line shows the correct way to find the sum p+q if p is positive and q is negative?
The correct number line to find the sum p+q if p is positive and q is negative is:
p -----|-------------------------
q
On this number line, p is represented by a positive integer and q is represented by a negative integer. To find the sum p+q, you would start at p and move in the direction of q. Since q is negative, you move to the left on the number line. The sum p+q is the distance between p and q.
To find the sum p+q, where p is positive and q is negative, we can use the number line as follows:
Step 1: Start at 0 on the number line.
Step 2: Move p units to the right from 0, representing the positive value p.
Step 3: From the point where you ended in Step 2, move q units to the left, representing the negative value q.
Step 4: The point where you end up after Step 3 represents the sum p+q.
Therefore, the correct number line would show a movement to the right (positive direction) for p units, and then a movement to the left (negative direction) for q units.
To find the sum p+q, when p is positive and q is negative, we need to follow a specific procedure. Here's how you can find the correct number line:
1. Draw a horizontal number line with zero in the center.
2. Mark a positive value p on the number line to the right of zero. This represents the positive value p.
3. Mark a negative value |q| on the number line to the left of zero. Since q is negative, we use its absolute value |q|. This represents the negative value q.
4. Starting from the positive value p, move to the left along the number line by |q| units. This represents adding the negative value q to the positive value p.
5. The final position on the number line represents the sum p+q.
In summary, on the number line, mark a positive value p to the right of zero and a negative value |q| to the left of zero. Then, move to the left by |q| units from the positive value p to find the sum p+q. The final position on the number line represents the sum.