2015 AMC 12A Problems/Problem 15: Difference between revisions
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==Problem | ==Problem== | ||
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? | 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{(C)}.</math> | The fraction is equivalent to <math>\frac{123456789 \cdot 5^{22}}{10^{26}}.</math> The answer is clearly <math>\textbf{(C)}.</math> | ||
== See Also == | |||
{{AMC12 box|year=2015|ab=A|num-b=14|num-a=16}} | |||
Revision as of 00:51, 5 February 2015
Problem
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 
See Also
| 2015 AMC 12A (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 AMC 12 Problems and Solutions | |
