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Are integers and natural numbers equivalent sets?

Updated: 8/18/2019
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No, they are not equivalent sets.

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9y ago
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Q: Are integers and natural numbers equivalent sets?
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Related questions

What is the greatest number that belongs to the sets if integers and rational numbers but not to the sets of natural numbers and whole numbers?

the answer is -1


Set and the different of sets?

there are 5 diffeerent sets Natural Numbers whole numbers integers rational numbers irrational numbers.


Which group is the biggest amongst natural numbers whole numbers integers?

The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.


What are the sets of integers and cite examples?

The set of integers is a set that includes all the positive whole numbers, all the negative whole numbers and zero. If you think in terms of sets within that set (or sub-sets) there are an infinity. Of course the obvious subset is the set of natural numbers. Natural numbers are the positive integers used for counting eg 1, 2, 3, etc.


Are natural and whole numbers equivalent sets?

they are almost all equivalent - whole numbers also have the number 0, which natural numbers (counting numbers) do not.


What natural numbers are whole numbers?

The set of counting numbers is the positive integers. The set of whole numbers is the positive integers plus zero. The term "natural numbers" has been used interchangeably with both of those sets.


How can you represent how the sets of whole numbers integers and rational numbers are related to each other?

Whole numbers and integers are identical sets. Both are proper subsets of rational numbers.If Z is the set of all integers, and Z+ the set of all positive integers then Q, the set of all rational numbers, is equivalent to the Cartesian product of Z and Z+.


What is the greatest number that belongs to the set of integers and rational numbers but not to set of natural numbers and whole numbers?

There is no such number. All of these sets go on forever.


What is the greatest number that belongs to the sets of integers and rational numbers but not in natural and whole numbers?

the greatest number that is an integer and rational number but is not a natural or whole number is -1


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.


What is the difference between the set of whole numbers and the sets of counting numbers?

The set of counting (natural) numbers is the set of all positive integers, while the set of whole numbers is the set of all positive integers included zero.


How best does natural integers irrational and whole numbers best fit into a concentric circle?

They do not because the set of irrational numbers does not intersect the other sets.