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 =  .

anonymous · Answer

what do you think it is?

anonymous · Answer

d?

anonymous · Answer

it's not d but a hint is that it's A, or B. :D

anonymous · Answer

no I finished the test it was D.