Question

determine all the integers that zero divides, trick question?

Answer 1

it's asking if there are any integers k such that 0k = y where y is any integer

Answer 2

no division by zero is not defined

Answer 3

So are there any pairs of numbers that satisfy this equation?

Answer 4

infinite?

Answer 5

@jim_thompson5910 , in the case you are suggesting y can take 0. but in reality 0/0 is NaN

Answer 6

good point, wasn't thinking that

Answer 7

what is NAN

Answer 8

so y is nonzero

Answer 9

NAN = not a number

Answer 10

so the answer is that there are no numbers that zero divides, teacher says that the correct answer is not what we might think it is

Answer 11

yes, there are no numbers that 0 divides

Answer 12

ie, 0 is not a factor of any number.

Answer 13

The action of separating something into parts, or the process of being separated.
you cant divide anything into 0 parts

Answer 14

yes, but based on the definition of divides, all it has to satisfy is the requirement that b=ac where a=0

Answer 15

does zero divide zero?

Answer 16

no

Answer 17

based on the definition, it does... 0= 0 X 0

Answer 18

That may be true, but so is 0 = 0 x 1, 0 = 0 x 1, 0 = 0 x 2, etc...

So if 0 does divide 0, then 0 = 0k where k is some integer, but which one?

Answer 19

based on the definition of divides, the set is infinite, and k could be any number

Answer 20

yes, but k must be some unique number, so 0 doesn't divide 0

Answer 21

oooohhhhhh, unique

Answer 22

yes that's the keyword