Another name for a set of natural numbers is counting numbers.
positive integers
All of the natural numbers.
The set of natural numbers. The set already has the zero in it.
It is the set of natural numbers.
Integers
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.
It is the set of natural numbers.
counting numbers
The set of numbers that include the natural numbers, their opposites and 0 is called the set of integers.
If you mean larger by "the set of whole numbers strictly contains the set of natural numbers", then yes, but if you mean "the set of whole numbers has a larger cardinality (size) than the set of natural numbers", then no, they have the same size.
0 and negative integers are all whole numbers but they are not natural numbers.
false, the set of natural numbers does not include 0, which can be considered a whole number.