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Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
Is the set of odd numbers is closed under multiplication but is not under addition?
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
Are integers closed under addition?
yes
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
Are prime numbers closed under addition?
no, not all prime numbers are closed under addition. why? because, when you add 2 prime numbers you will not always get a prime number. example: 5+3= 8 5 and 3 are prime numbers but their sum is 8 which is a composite number..
Is the set of odd numbers is closed under multiplication but is not under addition?
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Why are odd integers closed under multiplication but not under addition?
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Are set of fractions less than 1 closed under addition?
No. Take 7/8 + 1/4 for example. This is 9/8 or 1 1/8, which is not less than 1.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
Why are fractions closed under addition?
For a set to be closed under any operation, the result of the operation must also be a member of the set. The result of adding fractions is another fraction, thus it is closed under addition. Remember that 8/3, 8/4, 4/4, 2/1 are all fractions - they have a numerator and denominator separated by a line (at an oblique angle on the computer screen). Improper fractions are still fractions.
Are real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
What does the word closure property for addition mean?
It means that given a set, if x and y are any members of the set then x+y is also a member of the set. For example, positive integers are closed under addition, but they are not closed under subtraction, since 5 and 8 are members of the set of positive integers but 5 - 8 = -3 is not a positive integer.
