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Question
Between two given rational numbers, we can find ______
Options
one and only one rational number.
only two rational numbers.
only ten rational numbers.
infinitely many rational numbers.
Solution
Between two given rational numbers, we can find infinitely many rational numbers.
Explanation:
Let the two rational numbers are `2/1` and `5/1`.
The rational number between them are `3/1, 30/10, 300/100` etc.
Similarly, we can write for `4/1, 40/10` etc.
Thus there could be infinite no of rational numbers between any two rational numbers.
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