Which of the following statements is false?
A
The rational number pq ; q can be equal to zero.
B
The product of two rational numbers is a rational number
C
Zero has no reciprocal
D
The reciprocals of 1 and -1 are themselves
@LectureNotes Thank you for providing the correct option. I apologize for the confusion. You are right, option A: The rational number pq; q can be equal to zero is the false statement.
As you mentioned, for a rational number represented as pq, the denominator q cannot be equal to zero. This is because division by zero is undefined in mathematics. Therefore, the statement that the rational number pq; q can be equal to zero is false.
Thank you for clarifying and providing the correct explanation.