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Rational numbers are infinitely dense and so there is no such number. If for example, you considered F1 to be the fraction that was closet to 0 then what about half that number? F2 = (F1)/2 is closer to 0. And then what about F3 = (F2)/2? This could go on for ever.

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What fraction is closest to 0 on the number line?

1/infinity is the smallest fraction possible, but what number line the question is referring to is not specified so that's the only thing that can be stated here.


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Fractions are infinitely dense and this means that between any two fractions there an infinite number of fractions. If any fraction, f, laid claims to being the nearest, there would be infinitely many fractions between 0 and f and so infinitely many fractions which were closer to 0. This means that f could not be the closest. The argument can be used again and again and so there cannot be a fraction closest to 0.


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There are infinitely many fractions and decimals between 0 and 1.


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There is no possible answer. For any given fraction, half that fraction is another fraction and it will be closer to 0. And then half of that will be closer still, and then half of that ... . Hope you get the idea.


What sentence using division to show what fraction represented on a number line?

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