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The problem is asking to find the reciprocal of the number \(-9\), if it exists.

### Step 1: Definition of Reciprocal
The reciprocal of a number \(a\) is defined as \( \frac{1}{a} \), provided that \(a \neq 0\). The reciprocal of a number exists if the number is not zero.

### Step 2: Find the Reciprocal of \(-9\)
Since \(-9 \neq 0\), the reciprocal exists. The reciprocal of \(-9\) is:

\[
\frac{1}{-9} = -\frac{1}{9}
\]

### Final Answer:
The reciprocal exists, and it is \( -\frac{1}{9} \).

Would you like further clarification or details?

Here are 5 follow-up questions:
1. What is the reciprocal of 0, and why does it not exist?
2. How would you find the reciprocal of a fraction like \(\frac{3}{4}\)?
3. Can a negative number ever have a positive reciprocal?
4. What happens if you multiply a number by its reciprocal?
5. How can we use the concept of reciprocal in solving equations?

**Tip:** Remember, multiplying any number by its reciprocal always results in 1.

Find the reciprocal of the number -9, if it exists.

Discover how to find the reciprocal of the number -9 in this simple math problem. We explain the steps and why the reciprocal exists, providing an easy-to-understand answer for students in Grades 6-8.

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