Question

Which one of the following statements is not true? A.rational numbers are closed under division.
B.rational numbers are closed under addition.
C.rational numbers are closed under multiplication. D.rational numbers are closed under subtraction.

Answer 1

Rational numbers are closed under division is not true. (Option A)

• The closure property says that the sum, difference, product of any two rational numbers is a rational number itself.
• This property does not apply in the case of dividing a rational number with 0.
• When a rational number is divided by zero, we obtain infinity.
• But on adding, subtracting, or multiplying two rational numbers, we always get another rational number.