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Introduction: Rational Numbers between two Rational Numbers Video Lecture - Class 7

FAQs on Introduction: Rational Numbers between two Rational Numbers Video Lecture - Class 7

1. What are rational numbers?

Ans. Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be positive, negative, or zero and include fractions, decimals, and whole numbers.

2. How can I determine if a number is rational?

Ans. To determine if a number is rational, you need to check if it can be expressed as a fraction. If the number can be written in the form of p/q, where p and q are integers and q is not equal to zero, then it is a rational number.

3. Can there be rational numbers between any two rational numbers?

Ans. Yes, there can be an infinite number of rational numbers between any two rational numbers. This is because between any two rational numbers, we can always find another rational number by taking their average.

4. How can I find rational numbers between two given rational numbers?

Ans. To find rational numbers between two given rational numbers, we can take their average. For example, if we have rational numbers 1/2 and 3/4, we can find a rational number between them by taking the average: (1/2 + 3/4) / 2 = 5/8. So, 5/8 is a rational number between 1/2 and 3/4.

5. Are all rational numbers between two rational numbers distinct?

Ans. No, not all rational numbers between two rational numbers are distinct. For example, if we have rational numbers 1/4 and 3/4, we can find multiple rational numbers between them by taking their average: (1/4 + 3/4) / 2 = 1/2 and (1/4 + 3/4) / 2 = 1/2. So, 1/2 is a rational number that occurs twice between 1/4 and 3/4.

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