Question

Find 12 rational numbers between -1 and 2.

Answer 1

Hint: There are countless rational numbers in between any two rational numbers. Write any 12 decimal expression that is greater than -1 and smaller than 2 to get the answer.

Complete step-by-step answer:

In mathematics, rational numbers are the numbers that can be represented as $\dfrac{p}{q}$, where $p$ and $q$ are integers and $q$ must not be equal to zero. If $q$ is equal to 1 then the given rational number will become an integer, that means, every integer is a rational number. In other words, sets of integers are the subset of a set of rational numbers. The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over which is termed as non-terminating repeating decimal expansion.
One more interesting thing to observe is that, as we know that 1 is smaller than 2, this is a common thing for us. But, the similar case is not happening with negative numbers. If we put a negative sign at both the sides of an inequality then we see that the direction of inequality reverses. For example: 1 is smaller than 2 but -1 is greater than -2.
Now, 12 rational numbers between -1 and 2 can be: 0, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, -0.1, -0.2, -0.3.

Note: It is important to note that the above written 12 rational numbers are not the only answer. As I said, there are infinite rational numbers between -1 and 2. You can write your own 12 rational numbers. The only thing to remember is that, the number you are writing must be greater than -1 and less than 2.