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

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}