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
Similar Practice Questions
Find the average of odd numbers from 1 to 43.
Find the average of odd numbers from 1 to 43. 1 से 43 तक विषम...
Which of the following is greater than $\overline 0.{72} $?
Which of the following is greater than $\overline 0.{72} $? निम्नलिखित में से कौन $\overline...
The product of two numbers is 1,48,176 and the value of their LCM is 3,528. Find their HCF.
The product of two numbers is 1,48,176 and the value of their LCM is 3,528....
What is the sum of the square of the
What is the sum of the square of the prime numbers between 20 and 30?...
Find the greatest common divisor of 90, 1020, and 2340.
Find the greatest common divisor of 90, 1020, and 2340. 90, 1020 और 2340 महत्तम...
Find the volume of a cube whose diagonal length is \(18\sqrt{3}\) cm.
Find the volume of a cube whose diagonal length is \(18\sqrt{3}\) cm. उस घन का...
X is a greatest three – digit number exactly
X तीन अंको की एक बड़ी से बड़ी संख्या है जो 12, 20 और 25...