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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.
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What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
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 real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Are rational numbers are closed under addition subtraction multiplication and division?
They are closed under all except that division by zero is not defined.
Are sets of fractions closed under addition?
Yes.
Are the sets of positive fractions closed for 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.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Are fractions closed under subtration?
Yes.
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.
How are fractions under addition?
In order to add or subtract fractions, they must have the same denominator.
Are fractions closed under divion by nonzero elements?
Yes.
Are real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
