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Finding Rational Numbers between any 2 Rational Numbers (Part 1) Video

FAQs on Finding Rational Numbers between any 2 Rational Numbers (Part 1) Video Lecture -

1. How do you find rational numbers between two given rational numbers?
Ans. To find rational numbers between two given rational numbers, we can take the average of the two numbers. For example, to find a rational number between 1/3 and 2/3, we can calculate (1/3 + 2/3) / 2 = 1/2.
2. Can there be an infinite number of rational numbers between two given rational numbers?
Ans. Yes, there can be an infinite number of rational numbers between two given rational numbers. This is because we can always find the average of two rational numbers to get another rational number between them, and this process can be repeated infinitely.
3. How do you determine the smallest rational number between two given rational numbers?
Ans. To determine the smallest rational number between two given rational numbers, we can simply take the average of the two numbers. This will give us a rational number that is smaller than both the given numbers.
4. Is it possible to find irrational numbers between two given rational numbers?
Ans. No, it is not possible to find irrational numbers between two given rational numbers. Irrational numbers are not expressible as a ratio of two integers, so they cannot be found between two rational numbers.
5. Can you find an infinite number of irrational numbers between two given rational numbers?
Ans. Yes, it is possible to find an infinite number of irrational numbers between two given rational numbers. This is because irrational numbers are uncountably infinite, so there are infinitely many irrational numbers between any two rational numbers.
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