Question

find 12 rational numbers between -1 and 2

Answer 1

-0.1,
-0.2,
-0.3,
-0.4,
-0.5,
-0.6,
-0.7,
-0.8,
-0.9,
0,
1,
1.1,
1.2

Answer 2

The 12 rational numbers between -1 and 2 are  $\bold{-\frac{19}{20},-\frac{18}{20},-\frac{17}{20},-\frac{16}{20},-\frac{15}{20},-\frac{14}{20},-\frac{13}{20},-\frac{12}{20},-\frac{11}{20},-\frac{10}{20},-\frac{9}{20},-\frac{8}{20}}$

Solution:

Let the number be written as $-\frac{1}{1} \text { and } \frac{2}{1}$

To find: 12 rational numbers between -1 and 2,  

Rational number can be found by various method but we are going to use the denominator rationalization method.

Multiply 20 on both numerator and denominator of -1 and 2 to get value as $\frac{20}{20} \text { and } \frac{40}{20}.$

Now the values between -20 and 40 are infinite but we can take only the whole number.

So the rational numbers are $-\frac{19}{20},-\frac{18}{20},-\frac{17}{20},-\frac{16}{20},-\frac{15}{20},-\frac{14}{20},-\frac{13}{20},-\frac{12}{20},-\frac{12}{20},-\frac{10}{20},-\frac{10}{20},-\frac{9}{20},-\frac{8}{20}.$