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

part 2 - Example 7 - Examples - Serial order wise - Chapter 1 Class 9 Number Systems

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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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