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Q.

Find 12 rational numbers between –1 and 2.

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a

b

c

d

answer is D.

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Detailed Solution

Concept- In mathematics, rational numbers are those that can be written in the

where p and q are integers, q must not equal zero. Every integer is a rational number if and only if

, in which case the given rational number becomes an integer.
In other terms, a set of rational numbers is subset by sets of integers. A rational number’s decimal expansion either comes to an end after a finite number of digits or starts to repeatedly use the same finite sequence of digits, which is known as a non-terminating repeating decimal expansion.
Rational numbers are given as -1 and 2
First, we will multiply with the numerator and denominator
Question Image

Question Image

Now, we will find the rational numbers between a

nd

.
As

and

have the same denominator 10.
Thus, we will write simply by the numerators.

Thus

By canceling common terms, we get

Hence, the correct answer is option (4).

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