What's between an irrational and rational number?

Amber Quinn

Amber Quinn

Answered question

2022-06-10

What's between an irrational and rational number?

Answer & Explanation

marktje28

marktje28

Beginner2022-06-11Added 22 answers

Rational numbers and irrational numbers are real numbers.
For any x , y R with x < y, there exists rational a and irrational b such that a , b ( x , y )
lobht98

lobht98

Beginner2022-06-12Added 6 answers

Both rational and irrational numbers are dense in the real line. This means for any two real numbers (rational or irrational), there is at least one rational number and at least one irrational number between them. It follows from this fact that there are infinitely many rational and irrational numbers between each pair of real numbers.

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