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Question

We can find _____ rational number(s) between any two rational numbers.

A

zero

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B

one and only one

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C

infinitely many

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D

not more than two

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Solution

The correct option is C

infinitely many


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

For example, let us try finding a few rational numbers between the rational numbers 110 and 310.

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

Also, 110 can be written as 10000100000 and 310 can be written as 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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