Question

are integers closed to addition subtraction, multiplication, and division

Answer 1

What do you mean by closed?

Answer 2

being closed under these operations means that the result of these operations always returns another integer

Answer 3

@welshfella yes exactly

Answer 4

@welshfella can you help me?

Answer 5

I'm not sure - i should know but I'm wondering if 0 is included in the integers
I'll have to check
If it is then 6/0 is indeterminate so its not closed under division

Answer 6

It doesn't say if 0 is included so I'm assuming it's not

Answer 7

https://www.mathsisfun.com/definitions/integer.html

check this out

Answer 8

looks like the answer is no

Answer 9

okay so are integers closed to + - x /

Answer 10

@welshfella

Answer 11

Oh - not just the 0 stops division being closed but for example
10/4 = 2.5 and 2.5 is not an integer

so integers are definitely not closed under division

Answer 12

they are closed for +,- and *

Answer 13

now I need to know the same for irrational numbers

Answer 14

they are not closed under multiplication
for example sqrt2 * sqrt2 = 2
nor under subtraction
for example
sqrt3 - sqrt3 = 0