Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.
Quite simply, they are closed under addition. No "when".
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Yes, the set is closed.
Yes.
The set of even numbers is closed under addition, the set of odd numbers is not.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Yes, the sum of any two even numbers is an even number. This means they are closed under addition. Closure Property: For every even number a, for every even number b, a + b is an even number.
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.
Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.
Yes, when you add any two even numbers, the result is always an even number.
Quite simply, they are closed under addition. No "when".
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.
yes because real numbers are any number ever made and they can be 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.
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
No.