A natural number is any integer (whole number) that is greater than 0 (although sometimes, 0 is also included). So 1, 5 and 8,748,728,427,817 are natural numbers but -1, 3.5 and 4/3 are not.
Non-natural numbers are any numbers that are not natural numbers such as those listed above.
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even, whole, non-negative numbers. (zero is not a natural number)
Irrational numbers have infinitely long, non-repeating decimal expansions. They cannot be natural numbers or whole numbers. Those are rational.
1. No.The Natural numbers are the positive integers (sometimes the non-negative integers).Rational numbers are numbers that can be expressed as the quotient of two integers (positive or negative). All Natural numbers are in the set of Rational numbers. 2. No. Natural numbers are usually defined as integers greater than zero. A Rational number is then defined simply as a number that can be expressed as an integer divided by a natural number. (This definition includes all rational numbers, but excludes division by zero.)
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
When it is not included in the natural numbers, it is referred to as 'the natural numbers with zero'.