In Examples 5 and 6, fill in the blanks to make the statements true. The rational number _________ is neither positive nor negative.
Text Solution
AI Generated Solution
The correct Answer is:
To solve the question, we need to identify a rational number that is neither positive nor negative.
### Step-by-Step Solution:
1. **Understanding Rational Numbers**:
- A rational number is defined as a number that can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).
2. **Identifying Positive and Negative Numbers**:
- Positive rational numbers are those greater than zero (e.g., \( \frac{1}{2}, 3, \frac{5}{4} \)).
- Negative rational numbers are those less than zero (e.g., \( -\frac{1}{2}, -3, -\frac{5}{4} \)).
- The number zero is neither positive nor negative.
3. **Conclusion**:
- The rational number that is neither positive nor negative is **0**.
### Final Answer:
The rational number **0** is neither positive nor negative.
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