Is the set of multiples of 5 closed under division? Explain why or provide a counterexample if not.
A.Yes, because the quotient of any two multiples of 5 is also a multiple of 5.
B. Yes, because the quotient of any two multiples of 5 is also a multiple of 10.
C. No, and a counterexample is 100 ÷ 5 = 20.
D. No, and a counterexample is 25 ÷ 50 = .

Question

Is the set of multiples of 5 closed under division? Explain why or provide a counterexample if not.
 A.Yes, because the quotient of any two multiples of 5 is also a multiple of 5.
 B. Yes, because the quotient of any two multiples of 5 is also a multiple of 10.
C. No, and a counterexample is 100 ÷ 5 = 20.
D. No, and a counterexample is 25 ÷ 50 =   .

randomecorner · Answer

I think it is B, need some help understanding if this is correct

randomecorner · Answer

could be A because of Multiplys of 5

randomecorner · Answer

I think my finial answer is D because of the rational #, so there for it cannot be closed under division.

randomecorner · Answer

D is correct. /  No, and a counterexample is 25 ÷ 50 =  1/2.

anonymous · Answer

Close the Question when you're done, so people like me can't add more to your post. :)

anonymous · Answer

D is the correct answer