ple of the
P
P.
P
2. Are the square roots of all positive integers irrational? TI MUL,
square root of a number that is a rational number.
3. Show how 15 can be represented on the number line,
4. Classroom activity (Constructing the square root
spiral') : Take a large sheet of paper and construct
13
the 'square root spiral' in the following fashion. Start
(2SP
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
segment PP, perpendicular to OP,. Then draw a line
Fig. 1.9 : Constructing
segment PP, perpendicular to OP. Continuing in
this manner, you can get the line segment PP by
square root spiral
drawing a line segment of unit length perpendicular to OP-1. In this manner, you will
have created the points P, P....,P... ., and joined them to create a beautiful spiral Rer
depicting 12, 13, 14, ...
Div
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3 Real Numbers and their Decimal Expansions
W
this section, we are going to study rational and irrational numbers from a different
nt of view. We will look at the decimal expansions of real numbers and see if we
use the expansions to distinguish between rationals and irrationals. We will al
Jain how to visualise the
(i
(11
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pls write one one question
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