Question

des
any three rational numbers between 11 and 1
any five rational numbers between (i) and (ii) 0.1 and 0.11 (ti) -1 and -2
Fional Numbers
now that each rational number is assigned to a point on the
- and learnt about the denseness property of the rational numbers.
an that the line is entirely filled with the rational numbers and
more numbers on the number line? Let us explore.
Fig.2.6
der an isosceles right-angled triangle whose base and height
unit long. Using Pythagoras theorem, the hypotenuse can
ing a length 12 + 12 = /2 (see Fig. 2.6). Greeks found that this 2 is neith
nber nor an ordinary fraction. The belief of relationship between points ont
all numbers was shattered!2 was called an irrational number.​

Answer 1

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