## Kitten_is_back one year ago For which operations is the set {0, 1} closed? Choose all answers that are correct. A. multiplication B. division C. addition D. subtraction

1. zepdrix

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

2. Kitten_is_back

okay

3. zepdrix

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.

4. Kitten_is_back

yes amd oookay

5. zepdrix

|dw:1442541048361:dw|We set up the table like this.

6. zepdrix

For closure, we need to get only 0's and 1's in those four remaining boxes.

7. zepdrix

|dw:1442541174086:dw|1 x 1 gave us 1.

8. zepdrix

Hopefully it's clear how to fill in the box :D

9. zepdrix

|dw:1442541212157:dw|Want to try filling out the chart for addition? :)

10. Kitten_is_back

okay

11. Kitten_is_back

12. zepdrix

whut? 0_o

13. Kitten_is_back
14. geerky42

Try fill this: |dw:1442541697901:dw|

15. zepdrix

Kitten click the little `pencil` in the upper right corner of the drawing :) It will make a copy, then fill in the spaces. 1 + 1 goes in the bottom right corner for example

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