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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.
What are closed numbers?
It depends on what the number is closed on. For example, even numbers are closed on addition. In other words for any two even numbers that are added, the sum is an even number. Numbers are closed if something applies to all the numbers included within a set. The set above includes only even numbers.
Are real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
What sets of numbers are closed under addition?
Sets of numbers that are closed under addition include the integers, rational numbers, real numbers, and complex numbers. This means that when you add any two numbers from these sets, the result will also belong to the same set. For example, adding two integers will always result in another integer. This property is fundamental in mathematics and is essential for performing operations without leaving the set.
