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By demonstrating that it is equivalent to the ratio: 57/100. Any number that can be expressed as the ratio of two integers, the denominator not equal to zero, is rational.

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Q: How would you convince a fellow that the number 0.57 is a rational number?
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Does there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).


Why is 4.89 a rational number?

It is a rational number because it can be turned into a fraction and unlike pi, which does not repeat itself. 4.333333333 would be a rational number because it is non-terminating, and repeats itself. basically, a rational number is any number made by dividing one integer by another(ratio).


Is a number either rational or irrational but not both?

Yes. A number can be either rational or irrational, but never both; otherwise there would be an inherent contradiction.


Is 202002000200002000002000000... a rational number?

Ok, if the number ends there at the zeros right before the ellipses, then yes that would be a rational number. The whole point of a rational number is that it ends. All whole numbers are rational numbers. It's when you get into the decimals that you have irrational numbers. 1/3 for instance is not a rational number. In decimals it is something like 0.3333333...etc. and never ends. The number listed up there has no decimal, meaning it has to end somewhere.


Is 0.101001000... is rational number?

The answer depends on what he ellipsis represents. I would guess that it is not.

Related questions

How would you convince a fellow student that the number 0.57 is a rational number?

0.57 can be written as 57/100. 57 and 100 are both integers and therefore 0.57 can be written as a ratio of 2 integers. A number that can be written as a ratio of two integers is a rational number because the word rational comes from ratio.


How would you convince someone that 0.57 is an irrational number?

You can't because 0.57 is a rational number that can be expressed as a fraction in the form of 57/100 whereas irrational numbers can't be expressed as fractions.


Would 0.37 be integer whole number or rational number?

It is a rational number.


Would ten be a rational number?

Yes all number that are not a - or a fraction are rational.


What number can you divide a rational number to get a number that is twice the opposite of the rational number?

You would need to divide by -1/2.


What would be difference of 2 rational numbers?

Another rational number.


Negative fractions are Rational number?

They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.


is 5 an rational number?

The number 5 is indeed a rational number. A rational number is one that is able to be written down as a simplified fraction. The number 5 would be written as 5/1.


Does there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).


How do you Represent irrational number on number line?

The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.


Write the rational number as a decimal -3-20?

The rational number for the number -3.20 would be 4/10. This is a math problem.


Is 2.33 a rational number?

Yes, if there was a bar over the last 3, it would not be rational.