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What is a counter example of the conjecture a rational number is always an integer?
Well, isn't that just a happy little question! A counter example to that conjecture would be the number 1/2. You see, 1/2 is a rational number because it can be expressed as a fraction, but it is not an integer because it is not a whole number. Remember, it's okay to make mistakes in math, it's all part of the learning process!
What else can I help you with?
Can you give an example of an integer that is not rational why or why not?
No, all integers are rational, whole numbers.
Is 0.25 a rational and integer?
It is rational and it is an integer.
What is an example of a real number and a rational number but is not an integer?
One-eighth
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
Are all rational numbers also integers?
No. For example, 2/3, the ratio of 2 to 3 is rational but not an integer.
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.
What is an example of a real number and a rational number but is not an integer?
One-eighth
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
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.
