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Is zero a rational number? Can you wriand q*0?1.te it in the form,where p and q are inmegers |
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Answer» Rational number are the ones that can be expressed in the formp/qsuch thatp is an integerandq a non-zero integer. The definition does not say that this is the only form it can be expressed. Consider the following example: (√2)/(√2) = 1, which we know is a rational number. Here it is expressed as a ratio of two irrational numbers, but this does not make it an irrational number as it can also be expressed a ratio of two integers. The phrase “Any number which doesn't fulfill the above conditions is irrational”does NOTsay “Any number which can be written as a fractionp/q,where p and q are not integers, is irrational” Similarly, in the case of zero(0), it can be expressed in many ways with one of the cases being ratio of two integers (eg. 0/1 = 0/2 = … = 0) Thanks |
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