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Which of the following numbers are ratio...

Which of the following numbers are rational? Also, identify the irrational numbers.
9990

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The correct Answer is:
To determine whether the number 9990 is rational or irrational, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Rational and Irrational Numbers**: - A rational number is defined as any number that can be expressed in the form of \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \). - An irrational number cannot be expressed in this form. 2. **Analyzing the Given Number**: - The number given is 9990. 3. **Expressing 9990 in the Form of \( \frac{p}{q} \)**: - We can express 9990 as \( \frac{9990}{1} \). - Here, \( p = 9990 \) and \( q = 1 \). 4. **Checking the Conditions**: - Both \( p \) (9990) and \( q \) (1) are integers. - \( q \) is not equal to 0. 5. **Conclusion**: - Since 9990 can be expressed in the form \( \frac{p}{q} \) where \( p \) and \( q \) are integers and \( q \neq 0 \), it is a rational number. ### Final Answer: - **Rational Number**: 9990 - **Irrational Numbers**: None (since 9990 is the only number provided and it is rational).
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