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Question

Between any two given rational numbers, there are infinite rational numbers.


A

True

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B

False

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Solution

The correct option is A

True


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

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, 299999100000
Thus, we can find infinite rational numbers between any two rational numbers.


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