Question

Represent \[\dfrac{5}{3}\] and \[\dfrac{{ - 5}}{3}\] on the number line.

Answer 1

Hint: We have to represent the following given numbers \[\dfrac{5}{3}\] and \[\dfrac{{ - 5}}{3}\] on the number line that consist of numbers at a distance of a unit distance. We solve this question using the concept of plotting of numbers on the number line. First, we will make a different number line for each of the given numbers which has to be plotted. Then we will locate the required point on the number line.

Complete step by step answer:
A number line is a line which extends up to infinity with both positive and negative values on it. The distance between the two points on a number line is stated as an interval.
Given :
The numbers to be represented on the number line are \[\dfrac{5}{3}\] and \[\dfrac{{ - 5}}{3}\].
Now, let us consider that the points are given as :
\[A = \dfrac{5}{3}\] and \[B = \dfrac{{ - 5}}{3}\]
Now, we can represent the points on the number line as :
We can also write the value of the point as : \[A = 1.67\]
\[A\] on the number line

We can also write the value of the point as : \[B = - 1.67\]
\[B\] on the number line

Hence , the given points can be represented on the number line as shown above.

Note:
We use the number line as we can represent the numbers in a real life pattern. While representing the numbers on the number line, we can consider any size of the interval, like in the above question we choose the distance between two points to be a unit distance with \[10\] sub unis between the two points. We can also plot the negative numbers on a number line. We can also represent all the given points on a single number line.