The set of real numbers includes which of the following ?
The set of real numbers includes which of the following ?
वास्तविक संख्याओं के समूह में निम्नलिखित में स् कौन शामिल हैं?
Detailed Solution & Logic
Both Rational and Irrational Numbers/ परिमेय और अपरिमेय दोनों संख्याएँ
📖 Explanation
The set of real numbers includes:
👉 Rational Numbers (e.g., $\frac{1}{2}, -3, 0.75$)
👉 Irrational Numbers (e.g., $\sqrt{2}, \pi$)
📌 So, real numbers = Rational + Irrational numbers
वास्तविक संख्याएँ (Real Numbers) में शामिल हैं:
👉 परिमेय संख्याएँ (जैसे $\frac{1}{2}, -3, 0.75$)
👉 अपरिमेय संख्याएँ (जैसे $\sqrt{2}, \pi$)
📌 इसलिए, वास्तविक संख्याएँ = परिमेय + अपरिमेय संख्याएँ
⭐ Extra Facts
- Rational numbers can be written as $\frac{p}{q}$ where $q \neq 0$
- Irrational numbers cannot be expressed as fractions
- All real numbers lie on the number line
- परिमेय संख्याएँ $\frac{p}{q}$ के रूप में लिखी जा सकती हैं ($q \neq 0$)
- अपरिमेय संख्याएँ भिन्न के रूप में नहीं लिखी जा सकतीं
- सभी वास्तविक संख्याएँ संख्या रेखा पर स्थित होती हैं
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