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2/3 is a rational number but not an integer.

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Q: What is a counter example of the conjecture a rational number is always an integer?
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Related questions

Can you give an example of an integer that is not rational why or why not?

No, all integers are rational, whole numbers.


What is a counter example to falsify If x is an integer divisible by 3 then x2 is an integer divisible by 3?

Suppose x = sqrt(3*a) where a is an integer that is not divisible by 3. then x2 = 3*a which is divisible by 3. but x is not even rational and so is not an integer and is certainly not divisible by 3.


Non-integer rational numbers example?

3.9


What number is rational but not an integer?

1/4 is an example.


Meaning of non integer rational number?

It is a number that can be expressed as a fraction but is NOT an integer. For example. 3 is an integer and it is rational since we can write 3/1, but 1/3 is not an integer and it is rational since we wrote it as a fraction or a ratio. Remember that a rational number is one that can be written as A/B where A and B are integers. Now if B is 1, which is certainly an integer, A/1 is rational but since A is an integer, A/1 is an integer.


What is an example of a number that is classified as an integer and a rational number but not a whole number?

Any negative integer.


Is 0.25 a rational and integer?

It is rational and it is an integer.


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 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.


What is an example of a real number and a rational number but is not an integer?

One-eighth


an integer is always a rational number, but a rational number is not always an integer. Provide an example to show that this statement is true?

Integers are counting numbers or include them. 1/2 is a rational number that is not a couinting number.