Difference between revisions of "1956 AHSME Problems/Problem 3"
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The distance light travels in one year is approximately <math>5,870,000,000,000</math> miles. The distance light travels in <math>100</math> years is: | The distance light travels in one year is approximately <math>5,870,000,000,000</math> miles. The distance light travels in <math>100</math> years is: | ||
| − | <math>\textbf{(A)}\ 587 | + | <math>\textbf{(A)}\ 587\cdot10^8\text{ miles}\qquad |
| − | \textbf{(B)}\ 587 | + | \textbf{(B)}\ 587\cdot10^{10}\text{ miles}\qquad |
| − | \textbf{(C)}\ 587 | + | \textbf{(C)}\ 587\cdot10^{-10}\text{ miles} \\ |
| − | \textbf{(D)}\ 587 | + | \textbf{(D)}\ 587\cdot10^{12} \text{ miles} \qquad |
| − | \textbf{(E)}\ 587 | + | \textbf{(E)}\ 587\cdot10^{ - 12} \text{ miles} </math> |
| − | |||
==Solution== | ==Solution== | ||
Revision as of 16:01, 14 March 2023
Problem #3
The distance light travels in one year is approximately 
miles. The distance light travels in 
years is:
Solution
The distance light travels in one year can also be written as 
. In 100 years, light will travel 
.
Therefore, our answer is 
.
See Also
| 1956 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
