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
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what does it mean to be 'closed' ?
idk what they mean by closed under addition
google the phrase: "closed under addition" and you should get a rough idea, or at least a basis to work from.
ok
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.
which options only have whole numbers, and addition to work with?
b
am i right
B is good, and one more
a
1,1,2 are all whole numbers, and + is addition, B works great
is -1 a whole number?
d
is -1 a whole number?
am i right
you havent answered my question
yes it is
ok, so you dont know what a whole number is, there is another point of study for you.
look up the set of whole numbers, and define it for me
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
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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