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Is every real number a whole number?

Updated: 10/17/2024
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No. Real numbers are equivalence classes of cauchy sequences of rational numbers, which in turn are equivalence classes of pairs of integers (or whole numbers). Examples of real numbers that are not rational and therefore not integer are sqrt(2) and pi. Examples of real numbers that are rational but not integer are 1/2 and 13/17.

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Q: Is every real number a whole number?
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Is every whole number a real number too?

YES. Every whole number is a real number too.


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 Every whole number is a real number?

Yes. The set of whole numbers (more usually called Integers) is a strict subset of the set of Real Numbers.


Does every point on the real number line correspond to a rational number?

No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.


Is -6.06 a real number?

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What is bigger a whole number or a real number?

Neither.For any whole number there is a real number which is bigger and for any real number there is a whole number which is bigger.


Every whole number is a real number?

yes, only numbers like pi and e are irrational numbers


How do you find the real number of a whole number?

A whole number IS a real number so you do not have to do anything.


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.


If a number is a real number is it a whole number?

No, most real numbers are not whole numbers.


Is Every Whole Number a factor of 1 and why?

No, 1 is a factor of every whole number because 1 is a factor of every whole number.


Is a whole number not a real number?

A whole number is definitely a real number! For example say you have the number 7. 7 is a real number, because it doesn't have any decimals or fractions! Hope that helps! A whole number is a real number. A real number can be a fraction, a negative, a positive number, rational, or an irrational number. A whole number is a positive number or zero.