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

Question

CaHeK987 [17]

4 years ago

5

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

Mathematics

2 answers:

forsale [732] · Answer 1 · 2021-12-04T09:12:55+03:00

forsale [732]4 years ago

5 0

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.

kotegsom [21] · Answer 2 · 2021-12-04T06:57:34+03:00

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.