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Last updated at Sept. 10, 2020 by Teachoo
Transcript
Convert 0.(57) ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 0.57575757….. Multiplying equation (1) with 100 100x = 100 × (0.57575757…) 100x = 57.575757… Subtracting (2) from (1) i.e. (2) – (1) 100x – x = 57.575757… – 0.575757… 99x = 57 Since there is bar over 5 and 7, (two digits) x = 𝟓𝟕/𝟗𝟗 Thus, 0.(57) ̅ = 𝟓𝟕/𝟗𝟗
Expressing decimal in p/q
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Expressing numbers in p/q form
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Example 7 Important
Ex 1.3, 3 (i)
Ex 1.3,4 Important
Example 8
Example 9 Important
Expressing decimal in p/q
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