natural numbers are 1, 2, 3, 4, 5.......... whole numbers are natural numbers including 0, i.e., 0, 1, 2, 3, 4, 5..........
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All negative integers are whole numbers but not natural numbers. Mathematicians are not agreed about whether 0 is a natural number or not.
A natural number is a positive counting number, ie, 0 1 2 3 4. -1 -2 -3 and -4 are whole numbers but cannot be natural numbers as they are negative.
If N is the set of natural numbers, and the set of whole numbers (integers) is Z, you should be aware that Z also includes negatives and zero, whereas N does not include either of these.
The difference is that all whole numbers are decimal numbers, but not all decimal numbers are whole numbers. For example a whole number such as 1 is a decimal number but a decimal number such as 1.5 is not a whole number.