Question

Which sets of numbers are closed under division?

Choose all answers that are correct.

A.
rational numbers

B.
integers

C.
{–1, 0, 1}

D.
whole numbers

Answer 1

@Mesopretty

Answer 2

@ganeshie8 @ganeshie8 @ganeshie8

Answer 3

@chosenmatt

Answer 4

answer gets medal and fan + testomonial!!!!!!!!!

Answer 5

Tell me always true or false for each statement:

(rational number) \(\large\color{slate}{ \div }\) (rational number) = (rational number)

(integer) \(\large\color{slate}{ \div }\) (integer) = (integer)

(rational number) \(\large\color{slate}{ \div }\) (rational number) = (rational number)
(whole number) \(\large\color{slate}{ \div }\) (whole number) = (whole number)

Answer 6

Sorry I wrote the statement with a rational number twice

Answer 7

and the last set, to be closed under division would mean that dividing any 2 numbers by each other would give the remaining number.

Answer 8

idk

Answer 9

false

Answer 10

which one?

Answer 11

number 3

Answer 12

about whole numbers?

Answer 13

im confused now

Answer 14

1. (rational number) \(\large\color{slate}{ \div }\) (rational number) = (rational number)

2. (integer) \(\large\color{slate}{ \div }\) (integer) = (integer)

3. (whole number) \(\large\color{slate}{ \div }\) (whole number) = (whole number)

Answer 15

which of these statement is false and which is true?

Answer 16

3 is wrong and 2 is right

Answer 17

\(\large\color{slate}{ 7\div 4=~{\rm integer~~~~~~?} }\)

Answer 18

Are you sure number 2 is right?

Answer 19

no

Answer 20

yes, 2 is false.

Answer 21

how about statement 1?

Answer 22

oh ok 2 is wrong fyi this is a multi-answer

Answer 23

yes, statements 2 and 3 are false (i.e. not always true) , correct?

Answer 24

yes

Answer 25

How about statement 1, about rational numbers?

Answer 26

true

Answer 27

Good.

Answer 28

So so far we have excluded option D & B
and included option A.

Answer 29

c is true

Answer 30

So you understand what it means to be closed under division?

Answer 31

yes tyhx

Answer 32

okay, how about a set {-1, 0 , 1}

Answer 33

Dividing any 2 numbers gives you the remaining one?

is there a case when this is incorrect?

Answer 34

its true

Answer 35

\(\large\color{slate}{ (-1)\div (1)=~{\rm 0} }\) ?