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Question

Between two given rational numbers, we can find rational numbers.

A
one and only one
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B
only ten
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C
infinitely many
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D
only two
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Solution

The correct option is C infinitely many

There will be countless rational numbers between any two rational number.

For example, rational numbers between 110 and 310

010, 110, 210 are the obvious rational number between them.

But 110 can be written as 10000100000 and 310 = 30000100000

So, rational number between 110 and 310 are 9999100000, 9998100000 ,…..29998100000, 29999100000
Thus, we can find infinite rational numbers between any two rational numbers.


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