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Yes.
To say a set is closed under multiplication means that if you multiply any 2 numbers in the set, the answer will always be a member of the set. When you multiply 2 odd numbers, the answer is always an odd number, so the set is closed.
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Give two reason for the set of odd integers is not a group?
Assuming that the question is in the context of the operation "addition", The set of odd numbers is not closed under addition. That is to say, if x and y are members of the set (x and y are odd) then x+y not odd and so not a member of the set. There is no identity element in the group such that x+i = i+x = x for all x in the group. The identity element under addition of integers is zero which is not a member of the set of odd numbers.
What is the last digit in the product of the first 20 odd natural numbers?
The last digit in the product of the first 20 odd natural numbers can be determined by looking at the pattern of the units digit in the multiplication of consecutive odd numbers. The units digit of the product of consecutive odd numbers alternates between 1 and 5. Since there are 10 odd numbers between 1 and 19, and 20 is also an odd number, the last digit in the product of the first 20 odd natural numbers is 5.
Which five odd numbers add to make fifty?
The given numbers are all odd. The sum of 5 odd numbers must be odd. 50 is not odd so there is no solution.
How do you divide 30 into 5 odd numbers?
You cannot. The sum of 5 odd numbers is always odd. 30 is not odd.
Are odd numbers divisible by even numbers?
No. because odd numbers don't have 2 as a factor but even numbers do. So it won't be a whole number.
