Answer to Question #2634 in Algebra for uma

Question

1) Is all whole numbers are natural numbers ?
2) Is whole numbers are integers ?

Answer 1

To answer the questions it is necessary to specify the definition of the term whole numbers, which in fact does not have a consistent definition.& Various authors use it in one of the following senses
* the nonnegative integers (0, 1, 2, 3, ...)
* the positive integers (1, 2, 3, ...)
* all integers (..., -3, -2, -1, 0, 1, 2, 3, ...)

The following definitions are standard:
& Natural numbers are
& {1,2,3,…}
Integer numbers are
{…-2.-1,0,1,2…}

Perhaps whole numbers in this question are {0,1,2,…}
In this case
The answer to 1) is NO, while the answer to 2) is YES.