The additive inverse of the sum of the integers -9853 and -3187 is ______

Options

A. 6666
B. 4031
C. 10340
D. 13040

Answer

To find the additive inverse of the sum of the integers -9853 and -3187, we can follow these steps:

### Step 1: Calculate the sum of -9853 and -3187.
To find the sum, we add the two integers together:
\[ -9853 + (-3187) = -9853 - 3187 \]
This is equivalent to:
\[ -9853 - 3187 = -13040 \]

### Step 2: Find the additive inverse of the sum.
The additive inverse of a number is the number that, when added to the original number, results in zero. For any integer \( x \), the additive inverse is \( -x \).

In this case, the sum we calculated is -13040. Therefore, the additive inverse is:
\[ -(-13040) = 13040 \]

### Final Answer:
The additive inverse of the sum of the integers -9853 and -3187 is **13040**.

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