AMC8 1995
AMC8 1995 · Q15
AMC8 1995 · Q15. It mainly tests Fractions, Sequences in number theory (remainders patterns).
What is the 100th digit to the right of the decimal point in the decimal form of 4/37?
4/37的小数形式中，小数点右边的第100位数字是什么？
(A)
0
0
(B)
1
1
(C)
2
2
(D)
7
7
(E)
8
8
Answer
Correct choice: (B)
正确答案：（B）
Solution
Since 4/37 = 0.108108..., it follows that the 3rd, 6th, 9th,..., 99th digits are 8. Thus the 100th digit must be 1.
因为4/37 = 0.108108...，所以第3、6、9、...、99位数字是8。因此第100位数字一定是1。
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