Find the additive inverse of 1001.

Answer

To find the additive inverse of a number, we need to determine what number must be added to it to yield zero. Here’s how we can solve the problem step by step:

### Step-by-Step Solution:

1. **Understand the Concept of Additive Inverse**:
The additive inverse of a number \( x \) is the number that, when added to \( x \), results in zero. Mathematically, it can be expressed as:
\[ x + (-x) = 0 \]

2. **Identify the Given Number**:
In this case, the number we are working with is \( 1001 \).

3. **Determine the Additive Inverse**:
To find the additive inverse of \( 1001 \), we need to find the number that, when added to \( 1001 \), gives us zero. This number is \( -1001 \).
\[ 1001 + (-1001) = 0 \]

4. **State the Answer**:
Therefore, the additive inverse of \( 1001 \) is:
\[ -1001 \]

### Final Answer:
The additive inverse of \( 1001 \) is \( -1001 \).

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