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

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