0
I think you mean: is the number zero a member of the set of natural numbers?
ie does 0 ∈ ℕ
The answer is: yes and no - depending upon which definition you use!
The natural numbers are the counting numbers which can be used to count things. eg you can have 1 apple, 2 apples, etc. However, you can also have no apples (0 apples): you had 5 apples and gave them all to your friends and they now have the 5 apples and you have 0 apples.
You can't really count zero apples - it is an absence of apples.
Hence some definitions include zero, others do not.
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The number 1 is an example of an element in the set of natural numbers?
True
Is zero a element of a set of whole numbers?
Zero (0) is in the set of whole number. The only difference between the set of whole numbers and counting numbers is that the whole numbers contain zero. {0,1,2,3...}
Zero is an element of a set of natural numbers?
That depends on whom you're talking to. The term "natural number" refers either to a member of the set of positive integers 1, 2, 3, ... or to the set of nonnegative integers 0, 1, 2, 3, ... . Regrettably, there seems to be no general agreement about whether to include 0 in the set of natural numbers.
Zero is not an element of the set of whole numbers?
False.
What is the element of the intersection of the set of whole number and the set of natural numbers?
Well, honey, the intersection of the set of whole numbers and the set of natural numbers is the set of all positive integers. In other words, it's the numbers that are both whole and natural, which means it starts from 1 and goes on forever. So, there you have it, the sassy math lesson of the day!
