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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.
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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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