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 =   .

agl202 · Answer

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