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.
It is the set of natural numbers.
True
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...}
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.
False.
Zero is not a natural number because the definition of a natural number is the set of positive integers that does not contain zero.
It is the set of natural numbers.
Yes, the number zero. Currently, the natural numbers are normally taken to start with zero, not with one (this was not always so). The number zero has no predecessor in the set of natural numbers. In the set of integers, however, every number has a predecessor and a successor.
You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).
No. Zero is a number, so the "set of zero" contains one element. The empty set, also known as the null set, contains no elements.
No, it is not.
true
True
You can't really compare that, since zero is not a set. The null set (empty set), which can be written as {}, is a set with zero elements. A set that only contains the number zero, in symbols {0}, contains one element. It is not the same as the empty set.
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...}
Get a proper subset of whole numbers.
There is some disagreement as to whether zero, a whole number, belongs to the set of natural numbers.