Q.

Find 12 rational numbers between –1 and 2.

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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

Concept- In mathematics, rational numbers are those that can be written in theQuestion Imagewhere p and q are integers, q must not equal zero. Every integer is a rational number if and only ifQuestion Image, 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 Now, we will find the rational numbers between aQuestion ImagendQuestion Image.
AsQuestion ImageandQuestion Imagehave the same denominator 10.
Thus, we will write simply by the numerators.
Question ImageThus Question ImageBy canceling common terms, we get
Question ImageHence, the correct answer is option (4).
 
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Find 12 rational numbers between –1 and 2.