Every student in the ninth grade encounters questions such as how to plot root 2, how to represent root 2, or how to locate root 2 on the number line. Here is the step-by-step method to actually locate on the number line.
How to plot root 2 ()
We know that is an irrational number. We cannot plot directly on the number line. We use Pythagoras Theorem to find length equal to on the number line as shown in the picture below.
Step 1
We first draw a number line.
Step 2
We draw a line segment AB of length 1 unit starting from zero. One unit may be equal to 1cm, 1m or 1inch
Step 3
We draw a line segment BC of length 1 unit perpendicular to the line segment AB.
Step 4
We join AC. AC =
Step 5
Taking AC as radius, we draw an arc to intersect at a point on the number line
Clearly, D is the location of . Hence, we have plotted on the number line.
