Q2 of 128 Page 20

Following real numbers are expressed in decimal form. Find whether they are rational or not. If rational. express them in form p/q. Comment on factors of q:

0. 090909….. =

Let × = 0. 09090909….. ……eq(1)


As there are 2 repeating digits. So we multiply by 102


100 × = 9. 09090909…. ……..eq(2)


Subtracting (1) from (2):


99 × = 9




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