Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … . We do not consider zero to be a positive or negative number but it is an integer.
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The definition of an irrational number is that it cannot be expressed as the quotient of 2 integers, so no.
It is an incomplete definition of a rational number.
Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.
Even numbers are always integers, by definition.
There are two conflicting definitions of a "natural number": these are "The set of positive integers", or "The set of non-negative integers".According to the first definition, the list of positive integers does not include 0. However, according to the second definition, this does include zero.