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How many rational numbers are there in between the two rational numbers?
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How many rational numbers are there in between the two rational number...
Understanding Rational Numbers
Rational numbers are numbers that can be expressed as a fraction a/b, where 'a' is an integer and 'b' is a non-zero integer. They include integers, fractions, and finite or repeating decimals.
Infinite Rational Numbers Between Two Rational Numbers
When you consider any two rational numbers, there are infinitely many rational numbers that can exist between them. Here’s why:
Conclusion
In summary, there are infinitely many rational numbers between any two rational numbers. This property of density illustrates the richness of rational numbers in mathematics, making them a fascinating topic to explore!
Rational numbers are numbers that can be expressed as a fraction a/b, where 'a' is an integer and 'b' is a non-zero integer. They include integers, fractions, and finite or repeating decimals.
Infinite Rational Numbers Between Two Rational Numbers
When you consider any two rational numbers, there are infinitely many rational numbers that can exist between them. Here’s why:
- Density of Rational Numbers: Rational numbers are dense on the number line. This means that between any two rational numbers, no matter how close they are, you can always find another rational number.
- Example: For instance, consider the rational numbers 1/2 and 1/3. If you take the average of these two numbers, (1/2 + 1/3) / 2 = 5/12, which is also a rational number lying between them.
- More Examples: You can continue this process infinitely. Between any two rational numbers, you can always find another by taking different combinations or averages.
- Formulating New Rational Numbers: You can also create new rational numbers by adding or subtracting very small fractions or decimals, ensuring they remain between the two original numbers.
Conclusion
In summary, there are infinitely many rational numbers between any two rational numbers. This property of density illustrates the richness of rational numbers in mathematics, making them a fascinating topic to explore!
Community Answer
How many rational numbers are there in between the two rational number...
That is whole number bro
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How many rational numbers are there in between the two rational numbers?
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How many rational numbers are there in between the two rational numbers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How many rational numbers are there in between the two rational numbers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many rational numbers are there in between the two rational numbers?.
How many rational numbers are there in between the two rational numbers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How many rational numbers are there in between the two rational numbers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many rational numbers are there in between the two rational numbers?.
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