because it can, if you add odd numbers the always don't have to be an odd number
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.
This is not possible, since there are only five single digit odd numbers, which are 1, 3, 5, 7 and 9.
103 and 301 .
No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.
No.
because it can, if you add odd numbers the always don't have to be an odd number
no
The set of even numbers is closed under addition, the set of odd numbers is not.
Addition of two odd numbers will always give an even number.
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.
This is not possible, since there are only five single digit odd numbers, which are 1, 3, 5, 7 and 9.
Addition of an even number of odd numbers will always equal an even number. Take, for example, 1, 3, 5, 7, the sum of which is 16.It is impossible to add four numbers up to 27 using merely odd numbers.
Sure! Three addition facts that have sums that are odd numbers are: 1+1=2 (even), 2+1=3 (odd), 3+3=6 (even).
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.