Question

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

Choose all answers that are correct.

A.
multiplication

B.
division

C.
addition

D.
subtraction

Answer 1

This is kind of a fun question :)
For closure, we need to stay within the set when we perform the operation.

Answer 2

okay

Answer 3

Let's try some multiplication:
0 x 0 = 0
0 x 1 = 0
1 x 1 = 1
We ended up with only 0's and 1's! Good, we're closed under multiplication, ya? :)
We stayed within the set of {0,1} when we performed multiplication.

You could set up a table I suppose, if that's easier.

Answer 4

yes amd oookay

Answer 5

We set up the table like this.