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Mathematics 20 Online
OpenStudy (anonymous):

Which equations show that the set of whole numbers is closed under addition? Choose all answers that are correct. A. 0 + (–1) = –1 B. 1 + 1 = 2 C. 2 + 0 = 2 D. 2 + (–1) = 1

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@Ilovecake

OpenStudy (anonymous):

@emma.monsterr

OpenStudy (anonymous):

@Sup???

OpenStudy (anonymous):

@IrishBoy123

OpenStudy (anonymous):

@shinebrightlikeadimon

OpenStudy (anonymous):

@abswag13

OpenStudy (anonymous):

@woodrow73

OpenStudy (anonymous):

@They_Call_Me_Narii

OpenStudy (anonymous):

@OregonDuck

OpenStudy (anonymous):

@spacemountain

OpenStudy (anonymous):

@shinebrightlikeadimon

OpenStudy (anonymous):

@EclipsedStar

OpenStudy (amistre64):

what does it mean to be 'closed' ?

OpenStudy (anonymous):

idk what they mean by closed under addition

OpenStudy (amistre64):

google the phrase: "closed under addition" and you should get a rough idea, or at least a basis to work from.

OpenStudy (anonymous):

ok

OpenStudy (amistre64):

consider 'closure' like being locked in a room .. nothing can get in or out. the only thing we have to work with, is what is in the room with us. now we are told that all we have to work with, is whole numbers, and addition. if thats all we have to work with, then that is all that can appear in our work.

OpenStudy (amistre64):

which options only have whole numbers, and addition to work with?

OpenStudy (anonymous):

b

OpenStudy (anonymous):

am i right

OpenStudy (amistre64):

B is good, and one more

OpenStudy (anonymous):

a

OpenStudy (amistre64):

1,1,2 are all whole numbers, and + is addition, B works great

OpenStudy (amistre64):

is -1 a whole number?

OpenStudy (anonymous):

d

OpenStudy (amistre64):

is -1 a whole number?

OpenStudy (anonymous):

am i right

OpenStudy (amistre64):

you havent answered my question

OpenStudy (anonymous):

yes it is

OpenStudy (amistre64):

ok, so you dont know what a whole number is, there is another point of study for you.

OpenStudy (amistre64):

look up the set of whole numbers, and define it for me

OpenStudy (anonymous):

So in this case, closure under addition means for all . This set isn't closed under addition; consider . Closure under multiplication in this case means for all . This set is closed under multiplication; simply write out all possible products of elements

OpenStudy (anonymous):

In mathematics, the natural numbers (sometimes called the whole numbers) are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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