Question

Show the fraction \[\dfrac{2}{5},\dfrac{3}{5},\dfrac{4}{5}\] and \[\dfrac{5}{5}\] on a number line.

Answer 1

Hint:
Here we will convert the first and last fraction into decimal numbers to find the range of the given fraction. We will then use the range to draw the integer points on the straight line. Then we will divide the line into equal parts using the denominator of the fractions. Finally, we will mark the points as the fraction given according to their value.

Complete step by step solution:
We have to plot the fractions \[\dfrac{2}{5},\dfrac{3}{5},\dfrac{4}{5}\] and \[\dfrac{5}{5}\] on a number line.
Now we will convert the first fraction i.e. \[\dfrac{2}{5}\] into a decimal number to find its value.
\[\dfrac{2}{5} = 0.4\]
We can see that the value of \[\dfrac{2}{5}\] is greater than 0.
Now we will convert the fraction \[\dfrac{5}{5}\] into a decimal number to find its value.
\[\dfrac{5}{5} = 1\]
We can see that the value of \[\dfrac{5}{5}\] is 1.
Now, the remaining fractions are greater than \[\dfrac{2}{5}\] and less than \[\dfrac{5}{5}\], so they must lie between 0 to 1 as well.
So, first we will draw a straight line from 0 to 2 as follows:

Next, as value of denominator of the fractions is 5 we will divide the point 0-1 in 5 parts as:

So, as we can see above all the points are plotted in the number lines.

Note:
A number line is a straight line that can be extended in both the directions infinitely. It is usually drawn horizontally and the numbers are placed at equal intervals or segments along the line. We can plot both positive as well as negative integers in number lines. A number line can be used for addition as well as subtraction as we will move right when adding a number and left when subtracting a number. We can plot fractions also in a number line and the space between the two points doesn’t matter; it just has to be equal between every number that’s the only condition.