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Ex 1.3,4 - Express 0.99999…in the form p/q. Are you ... - Expressing decimal in p/q

Ex 1.3,4 - Chapter 1 Class 9 Number Systems - Part 2

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Ex1.3, 4 Express 0.99999…in the form 𝑝/π‘ž . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. Let x = 0.9999….. Multiplying equation (1) with 10 10x = 10 Γ— (0. 999…) 10x = 9. 999… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 9.9999… – 0.9999… 9x = 9 x = 9/9 x = 1 Thus, 0.9999… = 1

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