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ShadowCain
 one year ago
For which operations is the set {–1, 0, 1} closed?
Choose all answers that are correct.
A. addition
B. division
C. multiplication
D. subtraction
ShadowCain
 one year ago
For which operations is the set {–1, 0, 1} closed? Choose all answers that are correct. A. addition B. division C. multiplication D. subtraction

This Question is Closed

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0Division and Multiplication, right?

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0@zzr0ck3r @mathmate @King.Void. @SolomonZelman

blackstreet23
 one year ago
Best ResponseYou've already chosen the best response.0what does it mean set closed?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's either A and D or all of them. I'm not sure

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2ok let us go through them A) Is there a way to add two elements from the set and not get an element in the set?

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0Oh wait it can't be division because you can't divide by 0.....

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2not addition because 1+1 = 2 is not in the set

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3while `1 + 1 = 0` is true, the fact that `1+1=2` means that you can take the elements `1` and `1` (repeat selections are possible), add them up, and get a number that is NOT in the set. So this set is NOT closed under addition

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.00 x 1 = 0 0 x 1 = 0 1  1 = 0 So, is it multiplication and subtraction?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3make a 3x3 table 3 rows for the elements 1,0,1 3 columns for the elements 1,0,1 dw:1441669222547:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Now let's say we will use the subtraction operation to fill out the table, we subtract the value on the left from the value up top eg: 1 minus 1 = 1+1 = 0 and this goes in the first row, first column the rest of the table is filled out the same way dw:1441669277363:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Does the table make sense?

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0So, it's only multiplication that will work?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3let's find out by making a multiplication table dw:1441669432403:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so yes, the set is closed under multiplication take any two numbers (repeats allowed), multiply them, and you'll get some value that's in the set

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3here's what the addition table would look like dw:1441669534485:dw

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0And division won't work either, right. Because you can't divide by 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3division table dw:1441669624730:dw

ShadowCain
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for the help!!
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