Which of the following describes the sum of p+(-q) where p and q are positive numbers
The sum of p + (-q) where p and q are positive numbers is always positive.
Explanation:
When we add a positive number and its negative, the sum will always be positive. This is because the negative value subtracts from the positive value, resulting in a smaller positive number. For example, if p = 5 and q = 3, then p + (-q) = 5 + (-3) = 2, which is positive. This pattern holds true for any positive values of p and q.
The sum of p + (-q) can be described as follows:
1. Start with the positive number p.
2. Then, subtract the positive number q from p.
3. To subtract a positive number, simply change the sign of the number being subtracted and add it to the other number.
4. So, (-q) is the negative form of q.
5. Adding a negative number is the same as subtracting, so adding (-q) is the same as subtracting q.
6. Therefore, the sum of p + (-q) is equal to p - q.