Question

Which sets of numbers are closed under division?

Choose all answers that are correct.

A.
rational numbers

B.
integers

C.
{–1, 0, 1}

D.
whole numbers

Answer 1

@Michele_Laino

Answer 2

B A and D?

Answer 3

B no, because division between two integer numbers not Always is an integer number.
I think your answer is rational numbers without zero.

Answer 4

so just A and D @Michele_Laino

Answer 5

or just A?

Answer 6

I think D no, because division between Whole number not Always is a Whole number, for example 3:5 is not a Whole number even if 3 and 5 are so

Answer 7

a and c?

Answer 8

I think C no, because 1:0=+infinity, which infinity doesn't belong to the set {-1,0,1}

Answer 9

a? xD

Answer 10

I think is the only possible answer, even if we have to esclude number zero

Answer 11

oops exclude...

Answer 12

4/16 is not a whole number.

Answer 13

?????"

Answer 14

@surjithayer you are right! It is a rational number!

Answer 15

providing c != 0, if you have a/b divided by c/d, you get ad/bc. I think answer (a) is your only choice.

Answer 16

;-)

Answer 17

only choice is A