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.
That's the definition of a "rational number".
a whole number negative or positive
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.
The definition of a rational number is the quotient of any two nonzero integers.
By definition, integers are whole numbers as they have no fraction part.
This is the definition of the set of 'Integers'.
Depending on the definition of the words "natural numbers", the natural numbers are either, "the set of positive integers", that is, integers from 1 upwards, or "the set of non-negative integers", that is, integers from 0 upwards.Therefore, 0 can be included as one of the natural numbers, depending on your definition.
No.The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).A number can either be written as the quotient of two integers or it can't. One or the other.A number cannot be both rational and irrational.