问道sat数学~In the decimal represention of 1\k,where 0< 1\k < 1
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问道sat数学~
In the decimal represention of 1\k,where 0< 1\k < 1 .the tenths digit is 1,the hundredths digit is 3,and at least one other digit is nonzero.what is the tenths digit in the decimal representation of k-1\k?
这题怎么算?
In the decimal represention of 1\k,where 0< 1\k < 1 .the tenths digit is 1,the hundredths digit is 3,and at least one other digit is nonzero.what is the tenths digit in the decimal representation of k-1\k?
这题怎么算?
![问道sat数学~In the decimal represention of 1\k,where 0< 1\k < 1](/uploads/image/z/8509899-3-9.jpg?t=%E9%97%AE%E9%81%93sat%E6%95%B0%E5%AD%A6%7EIn+the+decimal+represention+of+1%5Ck%2Cwhere+0%3C+1%5Ck+%3C+1)
1/k = 0.13...其中后面一定有至少一个不为0的digit
(k-1)/k=1-1/k=0.86 or 0.87 不过无论如何,他的tenth digit是8.
所以答案是8
(k-1)/k=1-1/k=0.86 or 0.87 不过无论如何,他的tenth digit是8.
所以答案是8
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