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Is there a rational number between two real numbers?
Yes. There are infinitely many rational numbers between any two real numbers.
Between any two real numbers there is another real number?
Yes, between any two real numbers there is another real number. For example... 1.25 is between 1.2 and 1.3 1.205 is between 1.20 and 1.21 1.2005 is between 1.200 and 1.201 4.235893756385968347 is between 4.235893756385968346 and 4.235893756385968348 You can go as far as you want, there is no limit.
What is the number before 2000?
The set of Real numbers is infinitely dense. As a result, there are infinitely many Real numbers between any two numbers. If any number X was said to be the number before 2000, then there would be infinitely many numbers between X and 2000. Any one of these numbers has a better claim to be before 2000 than X and so X cannot be the number before 2000.
A real number that is not rational?
Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.
Is a rational number a real number?
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
