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Question

Between two given rational numbers, we can find
(a) one and only one rational number.
(b) only two rational numbers.
(c) only ten rational numbers.
(d) infinitely many rational numbers.


Solution

We can find infinitely many rational numbers between two given rational numbers. 

Suppose two rational numbers 25  and 75, we can find 35,45,55, and 65 rational numbers between these 25 and 75.

We can write equivalent rational numbers of 25 and 75 as

2×55×5=1025

7×55×5=3525

so, now rational numbers between 1025 and 3525  are  1125, 1225

In this way we can find infinite rational numbers between any two rational numbers.

Hence, the correct option is (d).


Mathematics
NCERT Exemplar
Standard VIII

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