Difference between revisions of "1995 AJHSME Problems/Problem 15"
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<math>\frac{4}{37}=\frac{12}{111}=\frac{108}{999}=0.108108108...</math> | <math>\frac{4}{37}=\frac{12}{111}=\frac{108}{999}=0.108108108...</math> | ||
| − | Since this repeats every three digits, digit number x = digit number (x mod 3), and the 100th digit = (100 mod 3)th digit = 1st digit = 1 \text{(B)} | + | Since this repeats every three digits, digit number x = digit number (x mod 3), and the 100th digit = (100 mod 3)th digit = 1st digit = 1 <math>\text{(B)}</math> |
Revision as of 12:55, 5 July 2012
Problem
What is the 
digit to the right of the decimal point in the decimal form of 
?
Solution
Since this repeats every three digits, digit number x = digit number (x mod 3), and the 100th digit = (100 mod 3)th digit = 1st digit = 1 
