Question

Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0, 1} D. whole numbers

Answer 1

A. Rational numbers are closed under division.

If you divide a rational number, it will remain a rational number. If you divide an integer or a whole number, there is a chance that the new resulting number will not be an integer or a whole number.

Answer 2

The answer to your question is A. rational numbers.

Rational numbers are closed under any set of operations.

Integers are not closed under division because 1/2 is not an integer.

The set {-1, 0, 1} is also not closed under division because -1/5 does not fall in that set.

Whole numbers are not closed under division because 5/3 will produce a number that is not a whole integer.

Your answer is A. rational numbers.