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LionelMessi1987g
@LionelMessi1987g
August 2021
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помогите пожалуйста#3 прошуу
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mmb1
Verified answer
1,2(9) = 1,2 + 0.0(9) = 1.2 + 0.(9) / 10
найдем 0.(9)
0.(9) = х
9.(9) = 10х
10х - х = 9.(9) - 0.(9)
9х = 9
х = 1
1.2(9) = 1.2 + 0.(9) /10 = 1,2 + 1/10 = 1.2 + 0.1 = 1/3 это конечная десятичная дробь
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Answers & Comments
Verified answer
1,2(9) = 1,2 + 0.0(9) = 1.2 + 0.(9) / 10найдем 0.(9)
0.(9) = х
9.(9) = 10х
10х - х = 9.(9) - 0.(9)
9х = 9
х = 1
1.2(9) = 1.2 + 0.(9) /10 = 1,2 + 1/10 = 1.2 + 0.1 = 1/3 это конечная десятичная дробь