Final answer:
The sum of 6 and a number being negative means the other number must be a negative value greater than 6. An example is 6 + (-9) = -3, representing this concept.
Step-by-step explanation:
The sum of 6 and a number is negative. To represent the sum as a negative value, the other number must have a negative value greater than 6. Using examples of charges, we can show this by adding the opposite charge to 6 positive charges. For instance, if we consider the model with 6 positive charges and 9 negative charges, we find:
- 6 positive charges and 9 negative charges: 6 + (-9) = -3
This demonstrates that the sum of 6 and a number (-9 in this case) can indeed be negative, specifically -3 in this example. The model that represents the sum of 6 and a possible value for the other number is 6 + a negative number greater than 6. The negative number has to be greater in absolute value than the positive 6 to ensure the sum is negative.