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Q: Is every irrational number a whole number?
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Are whole number irrational?

Every whole number is rational.


Is irrational number whole number?

No. An irrational number cannot be a whole number.


Is a whole number always never or sometimes an irrational number?

Whole numbers can never be irrational.


What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and real numbers?

Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.


Why every irrational number is also a rational number but not every rational number is a natural number?

Every irrational number is NOT a rational number. For example, sqrt(2) is irrational but not rational. A natural number is a counting number or a whole number, such as 1, 2, 3, etc. A rational number is one that can be expressed as a ratio of two whole numbers, which may be positive or negative. So, -2 is a rational number but not a counting number (it is an integer, though). Also, 2/3 is a rational number but not a whole, counting number or a natural number.

Related questions

Can whole numbers be irrational numbers?

No. An irrational number can only be part of a whole number. Every whole number is rational.1000000


Are whole number irrational?

Every whole number is rational.


Is irrational number a subset of whole number?

Not at all. Every whole number is rational.


Is -5 a rational or an irrational number?

Every whole number is rational.


Is every Real number an irrational number?

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.


Is irrational number whole number?

No. An irrational number cannot be a whole number.


What is an example of an irrational whole number?

No whole number is irrational. They are all expressible by some other whole numbers such that p/q = (the number), so, no whole number is irrational.


Is a whole number always never or sometimes an irrational number?

Whole numbers can never be irrational.


Is 0.95 an integer rational number whole number or irrational number?

It can be written as a fraction, so it is rational. It is not an integer, whole number or irrational.


What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and real numbers?

Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.


Why every irrational number is also a rational number but not every rational number is a natural number?

Every irrational number is NOT a rational number. For example, sqrt(2) is irrational but not rational. A natural number is a counting number or a whole number, such as 1, 2, 3, etc. A rational number is one that can be expressed as a ratio of two whole numbers, which may be positive or negative. So, -2 is a rational number but not a counting number (it is an integer, though). Also, 2/3 is a rational number but not a whole, counting number or a natural number.


Every whole number is a real number?

yes, only numbers like pi and e are irrational numbers