Question

Represent each of the rational number on the number line : $\dfrac{3}{4}$

Answer 1

Hint: At first we need to convert our given rational number into decimal and we can see that it lies between 0 and 1 and drawing that in detail we can see our number lies between 0.7 and 0.8.From that we can mark our rational number.

Complete step-by-step answer:
We are given rational number $\dfrac{3}{4}$
But to represent this in a number line we need to convert this number into a decimal
$\begin{gathered}
   \Rightarrow 4\mathop{\left){\vphantom{1\begin{gathered}
  {\text{ }}30 \\
  \underline { - 28} \\
  {\text{ }}020 \\
  \underline {{\text{ }}20} \\
\end{gathered} }}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{\begin{gathered}
  {\text{ }}30 \\
  \underline { - 28} \\
  {\text{ }}020 \\
  \underline {{\text{ }}20} \\
\end{gathered} }}}
\limits^{\displaystyle \,\,\, {0.75}} \\
  {\text{ 0}} \\
\end{gathered} $
Therefore the decimal form of the rational number is 0.75
Let's draw the number line

Our number 0.75 lies between 0 and 1 so let draw that more precisely

Now we can see that our number is 0.7 and less than 0.8 hence we can mark it in that interval

Therefore we have marked the rational number on the number line.

Note: The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.