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 = 1\2

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 =  1\2

anonymous · Answer

@freckles @dan815 @triciaal

anonymous · Answer

b?

spring98 · Answer

umm. I think that D is correct.

anonymous · Answer

@Nnesha @zepdrix @triciaal @whpalmer4 @sammixboo @Zale101

whpalmer4 · Answer

25 is a multiple of 5.  50 is a multiple of 5.  25/50 = 1/2, which is not a multiple of 5.