2
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.
Yes, numbers between 1 and 2 can be rational. A rational number is defined as any number that can be expressed as a fraction ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b ) is not zero. For example, 1.5 (which is ( \frac{3}{2} )) and 1.25 (which is ( \frac{5}{4} )) are both rational numbers between 1 and 2. However, not all numbers in that range are rational; for instance, the square root of 2 is irrational and lies between 1 and 2.
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.
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.)