anonymous
  • 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
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
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anonymous
  • anonymous
anonymous
  • anonymous
@emma.monsterr

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anonymous
  • anonymous
@Sup???
anonymous
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amistre64
  • amistre64
what does it mean to be 'closed' ?
anonymous
  • anonymous
idk what they mean by closed under addition
amistre64
  • amistre64
google the phrase: "closed under addition" and you should get a rough idea, or at least a basis to work from.
anonymous
  • anonymous
ok
amistre64
  • 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
  • amistre64
which options only have whole numbers, and addition to work with?
anonymous
  • anonymous
b
anonymous
  • anonymous
am i right
amistre64
  • amistre64
B is good, and one more
anonymous
  • anonymous
a
amistre64
  • amistre64
1,1,2 are all whole numbers, and + is addition, B works great
amistre64
  • amistre64
is -1 a whole number?
anonymous
  • anonymous
d
amistre64
  • amistre64
is -1 a whole number?
anonymous
  • anonymous
am i right
amistre64
  • amistre64
you havent answered my question
anonymous
  • anonymous
yes it is
amistre64
  • amistre64
ok, so you dont know what a whole number is, there is another point of study for you.
amistre64
  • amistre64
look up the set of whole numbers, and define it for me
anonymous
  • 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
  • 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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