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

Options

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

Answer

To solve the problem step by step, we will follow the instructions given in the video transcript.

### Step 1: Calculate the Sum of the Integers
We need to find the sum of the integers -9853 and -3187.

\[ \text{Sum} = -9853 + (-3187) \]

This can be rewritten as:

\[ \text{Sum} = -9853 - 3187 \]

Now, we will perform the addition:

1. Add the absolute values:
- 9853 + 3187 = 13040

2. Since both numbers are negative, the sum will also be negative:
- Therefore, the sum is -13040.

### Step 2: Find the Additive Inverse
The additive inverse of a number \( x \) is defined as the number that, when added to \( x \), results in 0. Mathematically, the additive inverse of \( x \) is \( -x \).

In our case, we need to find the additive inverse of -13040:

\[ \text{Additive Inverse} = -(-13040) \]

This simplifies to:

\[ \text{Additive Inverse} = 13040 \]

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

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