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No. An addition operation need not even be defined.

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Q: Is a set closed with respect to multiplication is it also close with respect to addition?
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Is closed an action verb?

Close can be an action verb: to close the door, or close the sale, or close your eyes.


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It can be. close / closed I close the door every night. She closed the door with a bang. It can also be an adjective. He had a closed circle of friends.


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Rational numbers are numbers that can be expressed as a fraction a/b where a and b are both integers and b is not equal to zero. All integers n are rational numbers because they can be expressed as the fraction n/1. Rational numbers are closed under addition, subtraction, multiplication and division by a non-zero rational. To be closed under addition, subtraction, multiplication and division by a non-zero rational means that if you have two rational numbers, when you add, subtract, multiple or divide them, you will get another rational number. For example, take the rationals 1/3 and 4/3. When you add them together, you get another rational number, 5/3. Same with the other operations. 1/3 - 4/3 = -1 (remember integers are rational, too) (1/3) * (4/3) = 4/9 (1/3) / (4/3) = 1/4


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