Final answer:
To model the addition of two negative numbers, -7 and -4, add their absolute values to get 11 and then assign a negative sign to the result, making the answer -11.
Step-by-step explanation:
To write -7+(-4) in a model, we are essentially adding two negative numbers together. According to the rules for addition, when two negative numbers are added, the answer also has a negative sign. So, for the given expression of adding -7 and -4, we will follow these steps:
- Identify that both numbers being added are negative.
- Add their absolute values, which are 7 and 4, without considering the negative sign.
- Since both original numbers were negative, assign a negative sign to the result.
Therefore, the calculation will be as follows:
- Calculate 7 + 4, which equals 11.
- Assign a negative sign to the result since both numbers added were negative.
- The final answer is -11.
This is similar to the rule given in the example: -4 + (-2) = -6, where both numbers are negative, resulting in a negative sum.