Is the set of multiples of 5 closed under division? Explain why or provide a counterexample if not.
Yes, because the quotient of any two multiples of 5 is also a multiple of 5.
Yes, because the quotient of any two multiples of 5 is also a multiple of 10.
No, and a counterexample is 100 ÷ 5 = 20.
No, and a counterexample is 25 ÷ 50 = .
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
@Kitten_is_back start with the counter examples: do they disprove what's being said?
Not the answer you are looking for? Search for more explanations.
i got d ;-;
if (a/b), (b/a), a,b belong to the set than it has to be closed I think.
a/b,b/a ,a,b belong to the given set then it is closed. let me see
I found a great explanation to this hopefully it helps you
"A group of elements is closed under an operation if, when you apply the
operation to elements of the set, you always get another element of
Like whole numbers are closed under addition, because if you add two whole numbers, you always get another whole number - there is no way to get anything else.
But the whole numbers are _not_ closed under subtraction, because you
can subtract two whole numbers to get something that is not a whole
2 - 5 = -3
The integers are closed under multiplication (if you multiply two
integers, you get another integer), but they are _not_ closed under
division, since you can divide two integers to get a rational number
that isn't an integer.
The rationals, however, are closed under addition, subtraction,
multiplication, and division. "
okay i mean
50/25 = 2 but 25/50 = 0.5 which isn't an integer. I think this might be the answer because both are multiples of 5 and they aren't closed under division.I think you should always get a multiple of 5. I think you're correct it's D.