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 = | + | 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 = <math>\boxed{\text{(B)}\ 1}</math> |
+ | |||
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+ | ==See Also== | ||
+ | {{AJHSME box|year=1995|num-b=14|num-a=16}} |
Revision as of 02:09, 23 December 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 =
See Also
1995 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |