alleryHow many rational numbers exist between 1/3 and 1/2?
AOnly one
BExactly five
CExactly ten
DInfinitely many
Answer & Solution
Correct answer: D. Infinitely many
Between any two distinct rational numbers there are infinitely many rationals.
**One way to see this:** keep finding the mean of the previous interval — every mean is a new rational number strictly between the two, and the process never ends.
This is a key feature distinguishing rationals from integers.
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