2015 AMC 12A Problems/Problem 15: Difference between revisions
Created page with "==Problem 15== What is the minimum number of digits to the right of the decimal point needed to express the fraction <math>\frac{123456789}{2^{26}\cdot 5^4}</math> as a decimal?..." |
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==Solution== | ==Solution== | ||
The fraction is equivalent to <math>\frac{123456789 \cdot 5^{22}}{10^{26}}.</math> The answer is clearly <math>\textbf{( | The fraction is equivalent to <math>\frac{123456789 \cdot 5^{22}}{10^{26}}.</math> The answer is clearly <math>\textbf{(C)}.</math> | ||
Revision as of 21:40, 4 February 2015
Problem 15
What is the minimum number of digits to the right of the decimal point needed to express the fraction 
as a decimal?
$\textbf{(A)}\ 4\qquad\textbf{(B)}\ 22\qquad\textbf{(C)}\ 26\qquad\textbf{(D)}}\ 30\qquad\textbf{(E)}\ 104$ (Error compiling LaTeX. Unknown error_msg)
Solution
The fraction is equivalent to 
The answer is clearly 
