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Which of the following numbers are ratio...

Which of the following numbers are rational? Also, identify the irrational numbers.
0

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To determine whether the number 0 is rational or irrational, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Rational Numbers**: A rational number is defined as any number that can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers, and \( q \neq 0 \). 2. **Expressing Zero in Fraction Form**: We can express the number 0 as \( \frac{0}{1} \). Here, \( p = 0 \) and \( q = 1 \). 3. **Checking the Conditions**: - Both \( p \) and \( q \) are integers (0 and 1, respectively). - \( q \) is not zero (1 is not zero). - Therefore, 0 can be expressed in the form \( \frac{p}{q} \). 4. **Conclusion**: Since 0 can be expressed as \( \frac{0}{1} \), it meets the criteria for being a rational number. Thus, we conclude that **0 is a rational number**. ### Summary: - **Rational Numbers**: 0 - **Irrational Numbers**: None in this case. ---
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