No, the irrationals are more dense.
Chat with our AI personalities
No. Fractions do not include irrational numbers. And although there are an infinite number of both rationals and irrationals, there are far more irrational numbers than rationals.
Integer numbers are a subset of real numbers. Real numbers may contain fractions.
You have it backwards. Integers are a subset of real numbers.
The real numbers, themselves. Every set is a subset of itself.
We can look at real numbers as the biggest set. Then some real numbers can be written as fractions. Those are rational numbers and that is a subset of reals. Some cannot be written as fractions and those are irrationals, another subset of the reals.Now those that are rational might have a denominator of 1 such as 3/1 of -3/1. These are a subset of the rationals and hence of the reals. They are called integers. Now if we look at 0 and the positive integers, these are the whole numbers. If we get rid of 0, these are the natural numbers.