Example 7 - Show that 0.3333...... = 0.3 can be ... - Examples

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Example 7 Show that 0.3333 = 0.3 can be expressed in the form / , where p and q are integers and q 0. Let x = 0.3333 .. Multiplying equation (1) with 10 10x = 10 (0.333 ) 10x = 3.333 Subtracting (2) from (1) i.e. (2) (1) 10x x = 3.3333 0.3333 9x = 3 x = 3/9 x = 1/3 Thus, 0.3333 = 1/3

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.