Question

List five rational numbers between -2 and -1.

Answer 1

Hint: Here, we need to find the rational numbers between -2 and -1 by multiplying both numbers with $\dfrac{{n + 1}}{{n + 1}}$ and then we get n rational numbers between the given terms.

Complete step-by-step answer:
We are given with two numbers, and we are required to find n rational numbers between -2 and -1.
So as we know to find n rational numbers between two numbers.
First we multiply both numbers with $\dfrac{{n + 1}}{{n + 1}}$, then we will get n rational numbers between the new range easily.
Here n=5,

So, multiplying -2 and -1 by $\dfrac{6}{6}$ we get,
$ \Rightarrow - 2*\dfrac{6}{6} = \dfrac{{ - 12}}{6}$And
$ \Rightarrow - 1*\dfrac{6}{6} = \dfrac{{ - 6}}{6}$
So now we can easily get 5 rational numbers between -2 and -1.
So, 5 rational numbers between them are
$ \Rightarrow \dfrac{{ - 11}}{6},\dfrac{{ - 10}}{6},\dfrac{{ - 9}}{6},\dfrac{{ - 8}}{6},\dfrac{{ - 7}}{6}$
Hence, this is the required answer.

Note: Whenever you come up with this type of problem, then we have to multiply both numbers with $\dfrac{{n + 1}}{{n + 1}}$, then we will get n rational numbers in the given range easily. And remember that a rational number is a number that can be written as fraction. Rational numbers are all real numbers, and can be positive or negative. A number that is not rational is called irrational.