Question

For which operations is the set {0, 1} closed?

Choose all answers that are correct.

A.
multiplication

B.
division

C.
addition

D.
subtraction

If you can, please explain your answer and why! Thanks! (Will give medal!)

Answer 1

@Thesmarterone @texaschic101 @nevermind_justschool @Angelina14

Answer 2

A. multiplication.
see 1*0=0
0*1=0 1*1=1
0*0=0 so when we multiply any two members of the set, it gives the member of the same set

Answer 3

division by 0 is not possible. so option B is not true

Answer 4

Thanks so much

Answer 5

also see that 1+1=2 which is not a member of the set. hence option c is also not true

Answer 6

finally 0-1=-1 which is not a member of the set. So option d is also not true.
and hence there is only one correct option which is option A

Answer 7

Thanks! This helps! :)