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Express each of the following decimal numbers in p/q form 1•62 bar in expiration |
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Answer» Answer: 1. 0.555555... Let x be = 0.555555... --------(1) Multiplying both sides by 10 since 1 number is repeating. 10 × x = 10 × 0.555555... 10x = 5.555555... --------(2) Subtract EQUATION (1) from equation (2) 10x - x = 5.5555555... - 0.555555... 9x = 5 x = 5/9 p/q form of 0.555555... is 5/9 2. 0.3636363636... Let x be = 0.36363636... --------(1) Multiplying both sides by 100 since 2 numbers are repeating. 100 × x = 100 × 0.36363636... 100x = 36.36363636... --------(2) Subtract equation (1) from equation (2) 100x - x = 36.36363636... - 0.36363636... 99x = 36 x = 36/99 x = 12/33 x = 4/11 p/q form of 0.36363636... is 4/11 3. 3.888888... Let x be = 3.888888... --------(1) Multiplying both sides by 10 since 1 number is repeating. 10 × x = 10 × 3.888888... 10x = 38.888888... --------(2) SUBRACT equation (1) from equation (2) 10x - x = 38.88888... - 3.88888... 9x = 35 x = 35/9 p/q form of 3.88888... is 35/9 Step-by-step explanation: |
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