Answer
The set of whole numbers contains the set of counting (natural) numbers, and the number zero.,
{ 0, 1, 2, 3, 4, 5, ... }
Work Step by Step
The set of natural numbers is { 1, 2, 3, 4, 5, ... } .
The set of whole numbers is { 0, 1, 2, 3, 4, 5, ... }
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The set of whole numbers contains the set of counting (natural) numbers, and the number zero.,
{ 0, 1, 2, 3, 4, 5, ... }
It is not natural to count objects that are not there, which is why 0 is not a natural number, but
we do want to express with a number the fact that we have, for example
- no money,
- no brothers or sisters,
- no debts, etc.
so the zero is involved in many applications, and this is why a new set is formed from the natural numbers.