Question

Write any three rational numbers between the two numbers given below.
0.3 and -0.5.

Answer 1

Hint: In this problem, we have to find any three rational numbers between the given two numbers 0.3 and -0.5. We should know that a rational number is a number which can be expressed as a fraction \[\dfrac{p}{q}\] as two integers where q is not equal to zero. We should know that every integer is a rational number. We should also know that between any two numbers there can be as many rational numbers we can now write any of the three from them. We can now find the rational number between the given two numbers.

Complete step by step solution:
Here we have to find the rational numbers between the given numbers 0.3 and -0.5
We can now write them in the fraction form, we get
\[\begin{align}
  & \Rightarrow 0.3=\dfrac{3}{10} \\
 & \Rightarrow -0.5=-\dfrac{1}{2} \\
\end{align}\]
Now we can find the rational numbers between \[\dfrac{3}{10}and\dfrac{-1}{2}\].
We know that there can be many rational numbers between the given numbers, so we can write any of the three rational numbers here,
\[\dfrac{1}{4},\dfrac{1}{10},-\dfrac{2}{5}\]
Here we can see that,
\[\begin{align}
  & \Rightarrow \dfrac{1}{4}=0.25 \\
 & \Rightarrow \dfrac{1}{10}=0.1 \\
 & \Rightarrow -\dfrac{2}{5}=-0.4 \\
\end{align}\]
Therefore, the rational numbers between the given two numbers 0.3 and -0.5 are \[\dfrac{1}{4},\dfrac{1}{10},-\dfrac{2}{5}\].

Note: We should always remember that a rational number is a number which can be expressed as a fraction \[\dfrac{p}{q}\] as two integers where q is not equal to zero. We should know that every integer is a rational number. We should also know that between any two numbers there can be as many rational numbers.