There are infinitely many rational numbers between 0.5 and 1
In decimal form, you could try 0.51, 0.52, 0.53 etc
and then 0.501, 0.502, 0.503, ...
and 0.5001, 0.5002, ...
and 0.50001, ...
and so on.
No, there are more irrational numbers between 1 and 2 than there are rational numbers.
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
There are an infinite number of rational numbers between any two given numbers.
There are an infinite amount of rational numbers between 0 and 1.
1
There are an infinite number of rational numbers between any two rational numbers.
All the fractions between 0 and 1 are rational numbers
Rational numbers are infinitely dense and that means that there are infiitely many rational numbers between any two numbers.
No, there are more irrational numbers between 1 and 2 than there are rational numbers.
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
There are an infinite number of rational numbers between any two given numbers.
There are an infinite amount of rational numbers between 0 and 1.
1
Oh, dude, finding rational numbers between 0 and -1 is like trying to find a unicorn at a zoo. It's just not gonna happen. Rational numbers are all about fractions, and you can't have a fraction where the numerator is smaller than the denominator. So, in this case, there are no rational numbers between 0 and -1. It's a mathematical dead end, my friend.
There are not THE five rational numbers between -2 and -1, there are an infinite number of them. -1.1, -1.01, -1.001, -1.000001 and -1.456798435854 are five possibilities.
2
Infinitely many. In fact, between any two different real numbers, there are infinitely many rational numbers, and infinitely many irrational numbers. (More precisely, beth-zero rational numbers, and beth-one irrational numbers - that is, there are more irrational numbers than rational numbers in any such interval.)