Wrop4. Classroom activity (Constructing the “square rootspiral’) : Take a large sheet of paper and constructthe

Wrop
4. Classroom activity (Constructing the “square root
spiral’) : Take a large sheet of paper and construct
the ‘square root spiral’ in the following fashion. Start
13
with a point O and draw a line segment OP, of unit
length. Draw a line segment P,P, perpendicular to
OP, of unit length (see Fig. 1.9). Now draw a line
O
segment P,P, perpendicular to OP, Then draw a line
segment P P. perpendicular to OP,. Continuing in
Fig. 1.9: Constructing
this manner, you can get the line segment PP by
square root spiral
drawing a line segment of unit length perpendicular to OP In this manner, you will
have created the points P, P,…., P. …. ., and joined them to create a beautiful spiral
depicting V2, 73, 7…
Drin
-)
Real Numbers and their Decimal Expansions
is section, we are going to study rational and irrational numbers from a different
of view. We will look at the decimal expansions of real numbers and see if we
se the expansions to distinguish between rationals and irrationals. We will also
in how to visualise the representation of real mun​