Question

Show the following number on the number line (a) 0.2

Answer 1

Hint: Divide the unit length of number line ‘10’ equal parts i.e. make ten equal unit lengths between 0 to 1 to represent 0.2. Use scale for measuring distance or use graph sheets.

Complete step-by-step answer:
Here, we need to represent ‘0.2’ on the number line. As we can observe that ‘0.2’ is lying between 0 and 1. So, we need to plot ‘0.2’ somewhere between (0, 1).
Now, we have number line as

Here, we are dividing the number line into differences of one unit length.
Now we can divide the number line with differences of ‘0.1’ as well so that we can get ‘0.2’ exactly at somewhere on the number line.
So, just divide the length from 0 to 1 into 10 equal parts which will represent points 0.1, 0.2 , 0.3……0.8, 0.9, 1.
Hence, new number line can be given as

Now, we can observe that the third line starting from zero will represent 0.2 because we have divided 0 to 1 length to equal 10 parts. So one unit of 10 equal parts will represent 0.1 unit length.

Note: Another approach for the question would be that we can convert 0.2 to $\dfrac{2}{10}$. And hence now divide 10 units from 0 to 1. And similarly, after two units from zero, will represent $\dfrac{2}{10}$ or 0.2. And we don’t need to divide the whole number line with a difference of 0.1. As we need to represent ‘0.2’ only, so division between 0 to 1 is sufficient.