Example 8 - Chapter 1 Class 9 Number Systems
Last updated at Dec. 13, 2024 by Teachoo
Last updated at Dec. 13, 2024 by Teachoo
Example 8 Show that 1.272727 = 1.(27) can be expressed in the form / , where p and q are integers and q 0. Let x = 1.(27) = 1.272727 Multiplying equation (1) with 100 100x = 100 (1.272727 ) 100x = 127.2727 Subtracting (2) from (1) i.e. (2) (1) 100x x = 127.2727 1.272727 99x = 126.0000 x = 126/99 x = 14/11 Thus, 1.(27) = 14/11
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo