Question

Which sets of numbers are closed under addition?



Choose all answers that are correct.

Answer 1

A.


{0, 2, 5, 8}


B.


even integers


C.


rational numbers


D.


{0}

Answer 2

Fan, Medal, and cookies

Answer 3

If you add any two elements of a set and you ALWAYS get another element in the set, that set is closed under addition. For example

2+2=4
2+4=6
and 4 and 6 are part of the even number set.

Answer 4

A set of elements is closed under an operation if, when you apply the
operation to elements of the set, you always get another element of
the set.

For example, the whole numbers are closed under addition, because if
you add two whole numbers, you always get another whole number - there
is no way to get anything else.

But the whole numbers are _not_ closed under subtraction, because you
can subtract two whole numbers to get something that is not a whole
number, e.g.,

2 - 5 = -3

The integers are closed under multiplication (if you multiply two
integers, you get another integer), but they are _not_ closed under
division, since you can divide two integers to get a rational number
that isn't an integer.

The rationals, however, are closed under addition, subtraction,
multiplication, and division.

So the statement that 'the complex numbers are closed under addition'
means that if you add two complex numbers together, you are guaranteed
to get a complex number as the sum.

Does this help?

Answer 5

so let's go through each set
a) no 5 + 2 = 7. 7 is not in the set.

b) yes

c) yes

d) 0+0=0

Answer 6

delishus

Answer 7

needs moar chocolate

Answer 8

Its a snikerdoodle

Answer 9

Make it a chocolate snickerdoodle

Answer 10

drizzle glaze on that

Answer 11

Yess that would be so good !!!!

Answer 12

Filled with custard @bibby

Answer 13

yo I'm hungry
let's not talk about food right now

Answer 14

Ok havent had breakfast either

Answer 15

om nom nom

Answer 16

Hey bibby I dare you to go to a all you can eat buffet!!!! @bibby

Answer 17

lel noooooooo
my mom is making food right now and im too hungover to do anything outside

Answer 18

omnomnomnom

Answer 19

Bye

Answer 20

you look naked