1956 AHSME Problems/Problem 3

Problem #3

The distance light travels in one year is approximately $5,870,000,000,000$ miles. The distance light travels in $100$ years is:

$\textbf{(A)}\ 587\cdot10^8\text{ miles}\qquad \textbf{(B)}\ 587\cdot10^{10}\text{ miles}\qquad \textbf{(C)}\ 587\cdot10^{-10}\text{ miles} \\ \textbf{(D)}\ 587\cdot10^{12} \text{ miles} \qquad \textbf{(E)}\ 587\cdot10^{ - 12} \text{ miles}$

Solution

The distance light travels in one year can also be written as $587\cdot10^{10}$. In 100 years, light will travel $(587\cdot10^{10})\cdot100=587\cdot10^{12}$.

Therefore, our answer is $\boxed{\textbf{(D) }587\cdot10^{12}}$.

See Also

1956 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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