5
AssignmentMultiple Choice

Real Numbers

Question 5 • GA-Algebra: Concepts and Connections A

Which set is closed under subtraction?

Answer
A
the set of whole numbers
B
the set of natural numbers
C
the set of rational numbers
D
the set of irrational numbers

Explanation

Rational numbers are closed under subtraction: subtracting any rational number from another always gives a rational number. For example, 3/4 − 1/2 = 1/4, which is rational. Whole and natural numbers are not closed under subtraction because 2 − 5 = −3, which is neither whole nor natural.

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