Which set does -2 belong to?

Question

anonymous · Answer

infinitely many sets

anonymous · Answer

do you have more information?

anonymous · Answer

I have no further info, sadly. It just asks "Name the set or sets to which each number belongs" And the number is -2

anonymous · Answer

it is an integer, a whole number, a real number, a natural number and a rational number

jim_thompson5910 · Answer

the set of whole numbers is

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...}

the set of natural numbers is

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...}

anonymous · Answer

Thank you! The last one asks for 320/2 in a square root symbol. Sorry, my math book didn't go over this and I'm out of school for awhile and can't figure this out.

jim_thompson5910 · Answer

320/2 = ???

anonymous · Answer

12.64911064 I believe.

jim_thompson5910 · Answer

ok you're saying 

$$\large \sqrt{\frac{320}{2}} = \sqrt{160} \approx 12.64911064$$

and you are correct

anonymous · Answer

So then what set(s) would that be a part of?

jim_thompson5910 · Answer

since you get some decimal number that goes on forever without repeating, this means that $\large \sqrt{\frac{320}{2}}$ is irrational

jim_thompson5910 · Answer

it means that you cannot represent that as a fraction of two whole numbers

anonymous · Answer

Okay, this makes a lot of sense and thank you. My notes I was sent did not explain any of this. I don't understand my school. Oh well.

jim_thompson5910 · Answer

you're welcome

anonymous · Answer

it belongs to selt of real numbers