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Q: Which is the smallest rational number?

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It is the smallest non-negative rational number. Negative numbers are rational and are smaller.

It is 100

How about: 0.01

There is no such number. If any number laid claim to being the smallest rational number its claim could be challenged by half that number - which would also be rational and, obviously smaller. And the claim of that number could be challenged by half that number, and so on.

There can be no such thing. Given any rational number, x, the number x/2 is also rational and is smaller than x. This process can be continued for ever.

1/infinity? * * * * * Nice idea but unfortunately that is not a rational number, which is defined as the ration of two integers, x/y where y > 0. Since infinity is not an integer, the suggested ratio is not a rational number. The correct answer is that there is no such number. If any number laid claim to being the smallest positive rational, then half of that number would have a better claim. And then a half of THAT number would be a positive rational that was smaller still. And so on.

There are an infinite number of rational numbers so it would be foolish to even try to list them.

2

It is 1 because it can be expressed as a fraction in the form of 1/1

It is a rational number

It is a rational number. It can be written as a fraction.

What is the smallest subset of real numbers that −√𝟑𝟐𝟒 fits best?

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