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The rational numbers are a subset of the real numbers. You might recall that rational numbers are those that can be expressed as the ratio of two whole numbers (no matter how large they are). Irrational Numbers, like pi, cannot. But both sets (the rational and irrational numbers) are subsets of the real numbers. In fact, when we look at all the numbers, we are looking at the complex number system. We break that down into the real and the imaginary numbers. And the real numbers have the rational and irrational numbers as subsets. It's just that simple.
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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.
How many rational numbers are there between 0 and 5?
Infinitely many. Between any two different real numbers (not necessarily rational) there are infinitely many rational numbers, and infinitely many irrational numbers.
What are example of both real and rational numbers?
All rational numbers are examples of numbers which are both rational and real.
Which set is the intersection of real numbers and rational numbers?
The rational numbers, since it is a proper subset of the real numbers.
Is rational number a real number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
