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No, the set of Irrational Numbers has a cardinality that is greater than that for rational numbers. In other words, the number of irrational numbers is of a greater order of infinity than rational numbers.

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โˆ™ 2015-01-14 12:36:07
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Q: Do irrational numbers contain fewer numbers?
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Related questions

There are fewer rational numbers than irrational numbers.?

Yes, there are.

Is There are fewer rational than irrational numbers?

Yes, fewer by an order of infinity.

Which subset of the real number does not contain natural numbers?

Irrational numbers.

Are There are fewer rational numbers then irrational numbers?

Yes, there are countably infinite rationals but uncountably infinite irrationals.

Does the set of irrational numbers contain the set of real numbers?

Yes. If its irrational it just means that it continues forever with no real pattern. It can still have real numbers

Are there fewer rational numbers than irrational numbers?

For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.

What is hierarchy branches of real numbers?

The main subsets are as follows:Real numbers (R) can be divided into Rational numbers (Q) and Irrational numbers (no symbol).Irrational numbers can be divided into Transcendental numbers and Algebraic numbers.Rational numbers contain the set of Integers (Z)Integers contain the set of Natural numbers (N).

Is There fewer rational numbers than irrational numbers.?

Yes. The infinity of rational numbers has the same size as the natural numbers, said to be "countable". The infinity of real numbers (and therefore, also of irrational numbers) is a larger infinity, said to be "uncountable".

What are the solutions of irrational numbers?

They are irrational numbers!

What are irrational numbers and why are they irrational?

They are numbers that are infinite

What is the difference between surds and irrational numbers?

A surd is a number expressed as a square root (or some other root). Such roots are usually irrational; but irrational numbers also include other numbers, which CAN'T be expressed as the root of a rational number. For example, pi and e.

What is a statement irrational numbers?

Irrational numbers are real numbers.

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