6 is a rational number and it belongs to any set that contains it!
It belongs to {6},
or {45, sqrt(2), 6, pi, -3/7},
or all whole numbers between -43 and 53,
or multiples of 2,
or composite numbers,
or counting numbers,
or integers,
or rational numbers,
or real numbers,
or complex numbers,
etc.
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Because that is how the set of integers and the set of rational numbers are defined.
Rational numbers and Real numbers
rational numbers because it is a terminating decimal and can be written as a fraction.
Negative rational numbers; Negative real numbers; Rational numbers; Real numbers. The number also belongs to the set of complex numbers, quaternions and supersets.
It belongs to any set that contains it!It belongs to {-4},or {-4, sqrt(2), pi, -3/7},or all whole numbers between -43 and 53,or multiples of 2,or even numbers,or composite numbers,or integers,or rational numbers,or negative rational numbers,or real numbers,or complex numbers,etc.