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Is the set of whole numbers is dense?

Updated: 4/28/2022
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13y ago

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No. a set of numbers is dense if you always find another number in the set between any two numbers of the set. Since there is no whole number between 4 and 5 the wholes are not dense.

The set of rational numbers (fractions) is dense. for example, we can find a nubmer between 2/3 and 3/4 by averaging them and this number (17/24) is once again a rational number. You can always find tha average of two rational numbers and the result is always a rational number, so the ratonals are dense!

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Q: Is the set of whole numbers is dense?
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Related questions

What is the set of whole numbers and their opposites are?

The set of integers (ℤ) is the set of the positive whole numbers and their additive opposites (the negative whole numbers).


How are whole numbers integers and rational numbers related?

The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.


Are integers the set of positive numbers and negative whole numbers and 0?

Actually the set of integers is the same as the set of whole numbers since the whole numbers include negative whole numbers and zero.


What is Set of integers contains whole numbers and their .?

The set of integers is the same as the set of whole 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.


Is zero a element of a set of whole numbers?

Zero (0) is in the set of whole number. The only difference between the set of whole numbers and counting numbers is that the whole numbers contain zero. {0,1,2,3...}


Does the set of whole numbers is larger than the set of natural numbers?

If you mean larger by "the set of whole numbers strictly contains the set of natural numbers", then yes, but if you mean "the set of whole numbers has a larger cardinality (size) than the set of natural numbers", then no, they have the same size.


What is the set of a whole number and their opposite?

Apart from zero (which is its own opposite), the opposites of whole numbers are also whole numbers. You have the set of whole numbers which is also known as the set of integers.


What number is part of the set of whole numbers but is not in the set of natural numbers?

Whole numbers and natural numbers are the exact same, except that whole numbers include zero


What is a set of numbers including zero and all the counting numbers?

Whole numbers are the set of natural or counting numbers inclding zero


Is the intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers?

No, it is not.


What member of the set of whole number and the opposites?

Apart from zero (which is its own opposite), the opposites of whole numbers are also whole numbers. You have the set of whole numbers which is also known as the set of integers.