Question

Is the set of multiples of 5 closed under division? Explain why or provide a counterexample if not.

Answer 1

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 = .

Answer 2

c.100/5=20
d.25/50=.

Answer 3

5 divides 15 and it is an integer
but 15 does not divide 5,the answer is a fraction and not an integer.

Answer 4

@bibby

Answer 5

if a/b,b/a ,a,b belong to the given set then it is closed.

Answer 6

What?

Answer 7

Follow surjit's logic. 25 and 50 are multiples of 5, right?
Is 25/50 a multiple of 5? if so the set is closed under division

Answer 8

yes

Answer 9

what is \(\large \frac{25}{50}\)?

Answer 10

2

Answer 11

25/50 is \(\large \frac{1}{2}\)