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Yes. Integers are just rational numbers of the form a/1.

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โˆ™ 2011-08-08 12:45:41
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Q: Is the set of integers a subset of the set of rational numbers?
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Related questions

Are integers in a set of rational numbers?

Yes - the set of integers is a subset of the set of rational numbers.


Are rational numbers a subset of a set of integers?

No, they are not.


What is the relationship between integers and rational numbers?

The set of integers is a proper subset of the set of rational numbers.


Are all rational numbers in the set of whole numbers?

No. But all whole numbers are in the set of rational numbers. Natural numbers (ℕ) are a subset of Integers (ℤ), which are a subset of Rational numbers (ℚ), which are a subset of Real numbers (ℝ),which is a subset of the Complex numbers (ℂ).


What is the Subset?

A subset is a smaller set that is part of a larger set. For example, the set of animals contains the subset of reptiles, the subset of mammals, and various others. Or in mathematics, the set of real numbers contains the subset of positive integers, the subset of negative integers, the subset of rational numbers, etc.


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

Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.


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

Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.


Is a rational number always an integer?

No. There is no numbers that is an ineger.If you meant integer, then the the answer is still NO. The set of integers is a proper subset of rational numbers.


How are the integers and rational numbers different?

Integers are a subset of the set of all rational numbers. By definition, a rational number can be exactly expressed as the ratio of two integers. Only if the ratio can be simplified so that the denominator is 1 is a rational number an integer.


Can the set of mixed numbers is the union of the set of integers and the set of fraction?

No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.


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.


Why are rational numbers not like integers?

The set of rational numbers is closed under division, the set of integers is not.

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