Difference between revisions of "1955 AHSME Problems/Problem 1"
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==Solution== | ==Solution== | ||
− | First of all, <math>0.000000375 = 3.75 \times 10^{-7}</math> in scientific notation. This eliminates <math>\textbf{(A)}\ 3.75\times 10^{-7}</math>, <math>\textbf{(B)}\ 3\frac{3}{4}\times 10^{-7}</math>, and <math>\textbf{(C)}\ 375\times 10^{-9}</math> immediately. <math>\textbf{(E)}\ \frac{3}{80000000}</math> is a bit harder, but it can be rewritten as <math>\frac{3}{8} \ | + | First of all, <math>0.000000375 = 3.75 \times 10^{-7}</math> in scientific notation. This eliminates <math>\textbf{(A)}\ 3.75\times 10^{-7}</math>, <math>\textbf{(B)}\ 3\frac{3}{4}\times 10^{-7}</math>, and <math>\textbf{(C)}\ 375\times 10^{-9}</math> immediately. <math>\textbf{(E)}\ \frac{3}{80000000}</math> is a bit harder, but it can be rewritten as <math>\frac{3}{8} \times 10^{-7}</math>, which is the same as <math>\textbf{(D)}</math>. Thus, the answer is either <math>\textbf{(D)}</math> or <math>\textbf{(E)}</math>. The original contest had this error in it, although the desired answer was D. It is likely that they intended option E to be <math>\frac{3}{8000000}</math>, but misprinted it. |
==See Also== | ==See Also== |
Revision as of 20:25, 4 October 2023
Problem
Which one of the following is not equivalent to ?
Solution
First of all, in scientific notation. This eliminates , , and immediately. is a bit harder, but it can be rewritten as , which is the same as . Thus, the answer is either or . The original contest had this error in it, although the desired answer was D. It is likely that they intended option E to be , but misprinted it.
See Also
1955 AHSC (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
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All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.