Question

For which operations is the set {0, 1} closed?
a. multiplication
b. division
c. addition
d. subtraction

Answer 1

@dakid88

Answer 2

HI!!

Answer 3

@YoungStudier

Answer 4

do you know what "closed" means?

Answer 5

yes

Answer 6

what does it mean?

Answer 7

it means that any number in the set using one of those operations equals a number in the set

Answer 8

exactly!

Answer 9

So, what do you think the answer is?

Answer 10

I can choose more than one

Answer 11

so what we have to do is try it for each

Answer 12

I know for sure multiplication

Answer 13

yes for sure

Answer 14

possibly division

Answer 15

how about division

Answer 16

and definitely not addition

Answer 17

don't know about subtraction

Answer 18

\[0\div1\\
0\div 0\\
1\div 0\\
1\div1\]

Answer 19

oh ok

Answer 20

what are each of those? if they are either 0 or 1, then closed
if not, then not

Answer 21

and for subtraction same idea \[0-0\\
0-1\\
1-0\\
1-1\]check each

Answer 22

0/1 equals 0

Answer 23

ok true, what about the rest of those

Answer 24

0/0 =0
my calculator says that 1 can not divide by 0

Answer 25

lol glad your calculator says it, because it is true

Answer 26

you cannot divide by 0

Answer 27

ok so division is not closed?

Answer 28

also if your calculator said \(0\div0=0\) that is a MISTAKE

Answer 29

yes, it is not closed under division

Answer 30

0-0=0
0-1=-1

Answer 31

so it is not closed under subtraction either

Answer 32

yes it is not

Answer 33

so that leaves me with only that one choice. but I'm always nervous about only choosing one when I can choose all that apply

Answer 34

not sure what you mean
multiplication, yes

Answer 35

addition, no (since 1+1=2)

Answer 36

addition, subtraction, and division no

Answer 37

subtraction no, since 0 - 1 = -1

Answer 38

yeah right no on those three, yes on multiplication

Answer 39

so I'm going to go with just a

Answer 40

I'm going to leave this question open in case I have more questions. It is a five question test but some of them might be really easy

Answer 41

i would post in a different box

Answer 42

oh ok