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Is rational number not a subset of integer?

Updated: 8/20/2019
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No, rational numbers are not a subset of integers.

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Q: Is rational number not a subset of integer?
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What is 20137 as a rational number?

20137 is an integer and the integers are a subset of rational numbers!


Can a number be a rational number and not an integer?

Yes, just look at decimals. Note: integers are a subset of rational numbers.


Is a rational number a subset of the set of integers?

not necessarily... An integer is a rational number, but so is any real number between consecutive integers.


Is 0.125 a rational and an integer?

No. 0.125 = 1/8 → 0.125 is a rational 0.125 is not a whole number → 0.125 is not an integer. The integers is a proper subset of the rational numbers; 0.125 does not belong to the intersection of the integers and rational numbers.


If a number isn't a integer what is it?

It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.


Is an integer always a rational number?

a rational number is an integer when it does not have a decimal. An integer is a whole number, no parts of a number... -3, -2, -1, 0, 1, 2, 3 are all integers 2.14 and 6.789 are rational numbers but not integers. see the pattern?


How is a rational number that is not an integer different from a rational number that is an integer?

A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.


Is every integer a rational number or is every rational number an integer?

Every integer is a rational number.


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 14.1 a rational number or a integer?

It is a rational number, not an integer.


How is a rational number that is not an integer different from a rational number that is an number?

A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.


Is 0.25 a integer or rational number?

It is not an integer but is a rational number.