Answered



For which operations is the set {0, 1} closed?




Choose all answers that are correct.









A

multiplication








B

division








C

addition








D

subtraction

Verified Answer :

0 × 0 = 0

0 × 1 = 0

1 × 1 = 1

Which means multiplication is closed under {0, 1}

1 ÷ 1 = 1
0 ÷ 1 = 0

Division is not closed under {0, 1}

1 + 1 = 2

Addition is not closed under {0, 1}

0 - 1 = -1

Subtraction is not closed under {0, 1} either



So it's only A. Multiplication which is closed under {0, 1}

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