Fill in the blanks.
The number ……..and……… are their own reciprocals.

Answer

To solve the question, "The number …….. and …….. are their own reciprocals," we need to find two numbers that are equal to their own reciprocals.

### Step-by-step Solution:

1. **Understanding Reciprocals**:
- The reciprocal of a number \( x \) is defined as \( \frac{1}{x} \). For a number to be its own reciprocal, it must satisfy the equation \( x = \frac{1}{x} \).

2. **Setting Up the Equation**:
- To find such numbers, we can set up the equation:
\[ x = \frac{1}{x} \]

3. **Cross Multiplying**:
- Cross-multiplying gives us:
\[ x \cdot x = 1 \cdot 1 \]
which simplifies to:
\[ x^2 = 1 \]

4. **Solving the Equation**:
- To find \( x \), we take the square root of both sides:
\[ x = \sqrt{1} \]
- This results in:
\[ x = 1 \quad \text{or} \quad x = -1 \]

5. **Conclusion**:
- Therefore, the two numbers that are their own reciprocals are:
\[ 1 \quad \text{and} \quad -1 \]

### Final Answer:
The number **1** and **-1** are their own reciprocals.