Question

For which operations is the set {0, 1} closed?
Choose all answers that are correct.

A. multiplication
B. division
C. addition
D. subtraction

Answer 1

A):
0*0=0
0*1 = 0
1*1 = 1
All the results of the operations are still in the set {0,1}, i.e. the set closed under multiplication

B):
1/1=1
0/1 = 0
but 0/0 or 1/0 are not defined, so not closed

C: 1+1 = 2, not in {0,1}: not closed

D: 0-1=-1, not in {0,1} not closed

Answer 2

essentially you need ALL elements under the operation to be still in the set {0,1} to be closed. If you find one pair of numbers in {0,1} under an operation which doesn't yield 0 or 1, then it's not closed under that operation

Answer 3

@CrystalBurley

Answer 4

its D subtraction