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What else can I help you with?
Is empty set the same as set of zero?
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.
Zero is not an element of the set of whole numbers?
False.
Zero is an element of the set of whole numbers?
Yes.
What is another name for zero element property?
another word is identity property. The sum of zero and any number is the number.
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...}
How can a set of numbers have a range of zero?
A set with only one element. Its maximum = minimum = that element. So the range = max - min = 0.
What set of numbers contains multiplication inverses for all its elements?
The set of non-zero rational numbers contains multiplication inverses for all its elements. For any non-zero rational number ( a/b ) (where ( a ) and ( b ) are integers and ( b \neq 0 )), the multiplicative inverse is ( b/a ). This means that for every element in this set, there exists another element in the same set that, when multiplied together, equals 1.
Why all sets have at least one element?
That's not true. All sets have zero or more elements. You can have a set with zero elements - the "empty set".
Do 0 and the null set have the same number of elements?
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.
What does closed under division mean?
When you will divide any element in the set by another element in the set the result will be an answer that is also included in the set.
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
What is the definition for zero identity property?
The zero identity is defined in the context of a binary operation defined by addition over a set. It states that there is an element in the set, denoted by 0, such that for every element, X, in the set, 0 + X = X = X + 0. Addition in the set need not be commutative, but addition of 0 must be.
