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Answered 2013-02-23 18:22:03

Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.

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Are real numbers natural numbers?

No. Natural numbers are a proper subset of real numbers.


Are real numbers a subset of natural numbers?

No because natural numbers are a subset of real numbers


What are differences between natural numbers and real numbers?

Natural numbers extend from 1 to positive infinity.Real numbers are all numbers between negative infinity and positive infinity.ALL natural numbers are real numbers, but NOT ALLreal numbers are natural numbers.


Can a number be a natural number and a real number?

All natural numbers are also real numbers, but all real numbers are not necessarily natural numbers because natural numbers are positive whole numbers. Real numbers are any number on the number line, which includes irrational numbers like pi and sqrt2. Thus only the positive natural numbers are both natural and real. Hope this is not too long-winded!


What are all the natural numbers?

All the positive real numbers are natural numbers.


What is a natural number that is not real?

The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.


Is a natural number the same as a real number?

No. Natural numbers are a very small subset of real numbers.


Are natural numbers a subset of real numbers?

Yes.


Which is bigger real numbers or natural numbers?

Natural number are a special kind of real number. They both are large without bounds. For every real number there is a larger natural number and for every natural number there is a larger real number.


Are all real numbers natural?

No.


What natural numbers are a subset of all?

Natural numbers are a subset of the set of integers, among others.


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.


How many more real numbers are there than natural numbers?

Since there is an infinite number of real numbers and an infinite number of natural numbers, there is not more of one kind than of another.


Are all real numbers a rational?

No, real numbers include rational, irrational, and natural numbers as well as integers.


Is every natural number is a real number?

Yes, natural numbers are the set of "counting numbers" - integers bigger than zero. Hence they are all real numbers.


Are decimals considered a natural number?

No. Decimals come under "real numbers" and not natural numbers as natural numbers are positive whole numbers i.e., positive integers.


Are irrational numbers natural numbers?

No. All natural numbers are whole starting from 1.Irrational numbers belong to Real Numbers and no other set of numbers.


What kind of numbers belongs to the family of real numbers?

Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.


Defined real numbers?

Real numbers encompass any number along the number line, infinitely. Integers, whole numbers, natural numbers, etc. are are real numbers.


What are the five axioms in real numbers?

The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:Zero is a natural number.Every natural number has a successor in the natural numbers.Zero is not the successor of any natural number.If the successor of two natural numbers is the same, then the two original numbers are the same.If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.


What are decimals real numbers natural numbers integers or whole numbers?

Decimals are real numbers. Furthermore, integers and whole numbers are the same thing.


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

Irrational numbers.


Is every real number a natural number?

No. There are infinitely many real numbers for every natural number.


Is -6.06 a real number?

Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.


What is the relation between integers natural numbers whole numbers rational and irrational numbers?

Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.