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

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

Mathematics
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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.

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

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Other answers:

yes amd oookay
|dw:1442541048361:dw|We set up the table like this.
For closure, we need to get only 0's and 1's in those four remaining boxes.
|dw:1442541174086:dw|1 x 1 gave us 1.
Hopefully it's clear how to fill in the box :D
|dw:1442541212157:dw|Want to try filling out the chart for addition? :)
okay
SO ADD MUILTIPLICAN
whut? 0_o
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Try fill this: |dw:1442541697901:dw|
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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