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Are irrational numbers always natural numbers?

Updated: 8/20/2019
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12y ago

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No. Rather all natural numbers are necessarily rational number

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Q: Are irrational numbers always natural numbers?
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Related questions

What are the difference between natural numbers and irrational numbers?

All natural numbers are rational numbers. No irrational numbers are natural numbers.


Are numbers below 0.833 always irrational numbers?

No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number


A natural number is always a rational number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Are irrational numbers natural number?

No


Are Irrational numbers are always integers.?

No. In fact, integers are never Irrational Numbers.


Are natural numbers irrational numbers?

No. All natural numbers are whole, so they are rational. Irrational numbers like pi and the square root of 34 come in decimals.


Is the quotient of two irrational numbers always irrational?

yes


Is real number is always a rational number?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.


Is the cube root of 30 rational or irrational?

Cubes of all numbers are irrational numbers, if they're not natural


Are all natrual numbers irrational?

Quite the opposite. All natural numbers are rational. None of them are irrational.


The sum of rational numbers and an irrational number?

It is always an irrational number.


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.