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.
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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.
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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.
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