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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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โˆ™ 2011-12-12 21:43:51
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Q: Why are fractions closed under addition?
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Related questions

Are sets of fractions 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.


Are the sets of positive fractions closed for addition?

Yes.


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".


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 fractions closed under subtration?

Yes.


How are fractions under addition?

In order to add or subtract fractions, they must have the same denominator.


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 real numbers closed under addition?

yes because real numbers are any number ever made and they can be closed under addition


Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.


Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.


Are fractions closed under divion by nonzero elements?

Yes.


ARe odd integers not closed under addition?

That is correct, the set is not closed.


Are the set of rational numbers closed under addition?

Yes, the set is closed.


Are integers closed under addition?

yes


Which set of numbers is closed under addition?

Natural (ℕ), integer (ℤ), rational (ℚ), real (ℝ) and complex (ℂ) numbers are all closed under addition.


Are real numbers closed under addition and subtraction?

Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.


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.


What is the rule of addition of integers?

negetive integers are not closed under addition but positive integers are.


Are polynomial expressions closed under addition?

Yes.


Are the whole numbers closed under addition?

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Is the set of irrational numbers closed under addition?

no it is not


Is the set of integers closed under addition?

Yes it is.


Are the rational numbers closed under addition?

Yes.