Zero is the smallest rational number reason
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Moreover, we know 0 can be written as 0/1, we observe that both 0 & 1 are integers and the denominator i.e. '1' ≠ 0. So we conclude that '0' is a rational number and not irrational. We also conclude that all whole numbers, all Positive and NegativeNumbers are rational numbers.
A proof by contradiction is rather simple: Assume that the smallest rational numberexists and is of the form: a/b. Then note that we can define a/(b+1), which is rationalas it is the quotient of 2 integers, and is strictly smaller than a/b as its divisor is greater. ... Let x be the smallest positive rational number.
It can be represented as a ratio of two integers as well as ratio of itself and anirrational number such that zero is not dividend in any case. People say that 0 isrational because it is an integer.
A proof by contradiction is rather simple: Assume that the smallest rational numberexists and is of the form: a/b. Then note that we can define a/(b+1), which is rationalas it is the quotient of 2 integers, and is strictly smaller than a/b as its divisor is greater. ... Let x be the smallest positive rational number.
It can be represented as a ratio of two integers as well as ratio of itself and anirrational number such that zero is not dividend in any case. People say that 0 isrational because it is an integer.
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