Which number line shows the correct way to find the some p plus q if p is positive and q is negative
To find the sum of a positive number, p, and a negative number, q, you can think of it as starting at p on the number line and moving q units in the opposite direction (to the left on the number line).
-5 -4 -3 -2 -1 0 1 2 3 4 5
↑ ↑ ↓ ↓ ↓ ↓
In this case, p is positive, so we start at p (any positive number on the number line) and move q units to the left. The correct number line representation is shown above, where p is above q and pointing in opposite directions. Thus, we find the sum by moving q units to the left from p on the number line.
To find the sum of a positive number (p) and a negative number (q), you can use the number line as follows:
1. Start by placing a marker at zero (0) on the number line.
2. Move p units to the right from zero to reach the positive number p.
3. From this point, move |q| units to the left to represent the absolute value of the negative number q (ignoring the negative sign).
4. The final position on the number line after moving both p units to the right and |q| units to the left represents the sum of p and q.
Here is an illustration of the number line:
0 ----> ... ----> ----> --------> --------------------> -------------------->
-|q|- p p+q
Note: The distance between p and |q| is equal to the absolute value of the negative number |q|, which is used to ensure the correct direction is followed when adding a negative number.