Chat with our AI personalities
That is the property of infinite density of rational numbers. If x and y are any two rational numbers then w = (x + y)/2 is a rational number between them. And then there is a rational number between x and w. This process can be continued without end.
All rational numbers are real numbers.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
All prime numbers are rational.
The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.