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

- anonymous

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- anonymous

@Michele_Laino

- anonymous

@Ilovecake

- anonymous

@emma.monsterr

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- anonymous

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- amistre64

what does it mean to be 'closed' ?

- anonymous

idk what they mean by closed under addition

- amistre64

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

- anonymous

ok

- 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.

- amistre64

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

- anonymous

b

- anonymous

am i right

- amistre64

B is good, and one more

- anonymous

a

- amistre64

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

- amistre64

is -1 a whole number?

- anonymous

d

- amistre64

is -1 a whole number?

- anonymous

am i right

- amistre64

you havent answered my question

- anonymous

yes it is

- amistre64

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

- amistre64

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

- 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

- 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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